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This book offers a professional level review of mathematics for the graduate engineer. Topics include trigonometry and complex numbers, series, differential and integral calculus, ordinary... More > differential equations, matrices and linear algebra, vector algebra, Fourier series, and the calculus of variations. Hamilton's principle is introduced as a unifying principle in physics. The emphasis is on understanding and problem solving and not on proofsThis engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math... More > courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinalityCatalog Number: SGP10348Incidental Music for Proof was commissioned for a production of David Auburn's Pulitzer Prize-winning play. This atmospheric score enhances the play's theme of the struggle... More > between mathematical genius and mental illness.Musical themes are present for all four characters, as well as a prologue and interlude, scene change music, and underscore for the play's most dramatic moments. Portions of score can also be played as a suite in a concert setting.This edition is an 8.5" x 11" full score arranged for violin, viola, cello and piano. It's coil-bound for easy page turning during performance. Individual string parts are available from the publisher or as a free digital download.< Less
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Algebra 1/ 2 : Incremental Development - 3rd edition
Summary: Algebra 1/2 is made up of five instructional components: Introduction of the New Increment, Examples with Complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. Algebra 1/2 covers all topics normally taught in pre-algebra, as well as additional topics from geometry and discrete mathematics. It is recommended for seventh-graders who plan to take first-year algebra inthe eighth grade, or for eighth-graders who plan to take first-year al...show moregebra in the ninth grade. Algebra 1/2 represents the culmination of the study of pre-algebra mathematics2000 Hardcover Fair WATER DAMAGE. Pages have a light ripple from water damage but the book is still a solid functional copy. Usual school markings and some cover wear. 2004 third edition. Booksave...show morers receives donated books and recycles them in a variety of ways. Proceeds benefit the work of Mennonite Central Committee (MCC) in the U.S. and around the world. ...show less
$5.5195 +$3.99 s/h
Good
Cheryls-Books Vinemont, AL
2003-05-01 Hardcover 3rd Good Hardback book in good condition, but missing dust jacket if issued one. Some letters written on the fore edge in marker
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Each release of Mathematica brings with it powerful new tools that can be applied to an ever-widening range of fields, so it's no surprise that a great many faculty members at all levels choose Mathematica as the tool around which to base their curricula. My first introduction to the software came during my undergraduate education when I took a differential equations course. As my professor went through the syllabus and explained what topics we would cover that semester, she also mentioned that we would be using Mathematica and showed some examples of what it could do.
Having never used mathematical technology more sophisticated than a graphing calculator, I did admittedly have a bit of a rocky start with the language and syntax. I remember my professor spending a lecture period going over the basics of how to enter input and perform computations, but I decided to dismiss all that advice and just figure it out myself—which seemed to be a good idea at the time. I probably should have paid closer attention to my professor's tutorial, because I soon became frustrated at what seemed like a very rigid language. As I investigated further—mostly by looking at all the examples in the documentation—I quickly realized that by learning a few simple rules one could effectively harness the program and produce powerful results. Ultimately it was Mathematica's consistent language design that got me excited about learning more.
Recently, I was in Puerto Rico giving Mathematica talks to faculty and students within the University of Puerto Rico and Inter American University of Puerto Rico system. First off, I loved the islands and the weather. Second, the people were enthusiastic, understanding of my broken Spanish, and wonderful people with whom to interact and discuss Mathematica integration.
On my flight home, I realized that it would be good to document a little bit of my experience talking with educators about integrating Mathematica into courses and how Mathematica 7 has completely changed my perspective (and uniformly, their perspective) as well.
I've now been at Wolfram Research almost 12 years. My experiences at the company have been quite varied. I have traversed the country in the MathMobile (see below) showing lots of people at schools, companies, and government labs how to start using Mathematica; I have sat at a desk in technical support answering questions from longtime users on how to do (and fix) pretty detailed programming; I have worked in public relations to convey to the press why Mathematica is such an important topic for them to cover.
Calculus has occupied a central position in scientific thought ever since its discovery by Newton and Leibniz more than 300 years ago. The combination of elegance, utility, and rigor that characterize this subject have led to its extensive use in theoretical approaches to diverse fields such as economics, finance, and biology. Indeed, calculus is one of the greatest intellectual achievements of humankind, which explains its important role in the training of students all over the world.
It has been my privilege to present a "College Calculus with Mathematica" talk as part of a series of free online seminars organized by the Wolfram Education Group. Today, I would like to give you a glimpse of the seminar's topics and write about the advantages of online instruction.
It was submitted a few weeks ago, and I rather liked it because it illustrated several basic numerical approaches to solving a first-order differential equation. Without much fuss this quickly brings one into numerical analysis, approximation methods, and other polysyllabic topics important to engineering, math, and related fields.
As it was making the rounds through our review process, I received one of those phone calls that parents know all too well: the college student emergency homework appeal. I picked up the phone.
And I was greatly relieved to find that the study itself says no such thing. Bing and Redish don't recommend banishing Mathematica; they welcome it in their classrooms and point out many positive things about it, along with one relatively minor pitfall they suggest ways to work around.
What mindset led the reporter to jump to such a reactionary conclusion? Why use such an inflammatory headline in connection with level-headed research that showed, when you get right down to it, virtually the opposite of what the New Scientist headline says?
The question of what technology to use in the classroom comes up all the time, and the resulting debate often generates more heat than light. People feel strongly about the subject because at its heart it is a question about what it means to be human.
My two high-schoolers constantly struggle with math and science. And every time I sit down to help them out, I get my own slightly sweaty flashback to my school days, reminded of how glad I am not to be dealing with homework and boring classes every day.
With all the technological distractions available to kids now, it's hard to get them to crack a book open. On the other hand, technology also offers the means to engross modern students in their classwork.
Working on Mathematica makes that all too obvious to me, but after 17 years at Wolfram Research, I've been so close to and inside our development process that I've been taking the obvious for granted.
Sure, once in a while I check the kids' algebra homework using Solve. But sticking a computer in front of every student in a classroom is probably not the best way to engage them as a group.
Engaging kids is going to get easier now with a combination of two things coming together, which a few of us got to preview at our recent Mathematica Publishing Day event in Oxford.
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1439045860
9781439045862
Elementary Algebra, Revised (with Interactive Video Skillbuilder CD-ROM and iLrnâ"¢ Student Tutorial Printed Access Card):Make math a snap with ELEMENTARY ALGEBRA. Using everyday language and lots of examples, Kaufman and Schwitters show you how to apply algebra concepts and ace the test. And if tutoring is in your future, with this edition you get 40 hours of free tutoring per week through Personal Tutor with SMARTHINKING, the live online tutoring program that connects with you with an algebra expert who has a copy of your textbook. Plus, you'll get the powerful web-based iLrn Homework program that makes your assignments a breeze. Get the grade you want with ELEMENTARY ALGEBRA.
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Teaching Geometry is the companion text to Essential Geometry. This isn't your standard "teacher's edition". Rather than being just a copy of the student's version with the answers added,... More > it's intended as a teaching guide. Each section lists teaching suggestions for the corresponding section in the student's text along with supplemental material and complete solutions to every exercise question. The complete text, except for the exercise solutions, can be found on the White Crane Education website. This version is offered for customers who want a physical copy of the material.< Less
This workbook has the entire practice set for the Geometry curriculum, followed by the answer keys. This is a valuable learning aid for teachers and parents who want to supplement classroom... More > instruction. All these books are available from Simplified Solutions for Math on LULU. Contact Simplified at ss4math@gmail.com for more information and a complete set of PowerPoint presentations for each lesson, free with purchase of curriculum. Completely self-contained, ideal for home schooling as well as traditional classrooms.< Color Hardcover< black & white paperback< Less
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the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject.
A comprehensive and authoritative text that treats some of the main topics of modern analysis
A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables
Key results in each area discussed in relation to other areas of mathematics
Highlights the organic unity of large areas of analysis traditionally split into subfields
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Each module was designed to improve students' understanding and desire to continue mathematics, with the goal of increasing enrollment in Calculus. During the discussion phase of elevating the role of history of mathematics, it was decided to move beyond the level of history seen in even the most progressive of textbooks. Each week, a significant essay was written about both the development of mathematics as a tool to improve society, as well as the need for each generation to improve their mathematics skills to ensure the further advancement of society. The modules helped motivate the student on the topic of the week, but also was connected with previous lessons so that each lesson increased understanding of the effort required to be successful in mathematics, and also gave the students a greater appreciation for the need of mathematics in their lives.
The modules tell solid stories at manageable lengths. Students were asked to read two to three pages of mathematics history each week. Every teacher of every section of College Algebra implemented the historical modules beginning in 2005. The first nine history lessons are outlined below.
Introductory Lesson: Introduces the term "algebra" and its Arabic origin. It then briefly gives a timeline of the movement through Europe, including the addition of the Cartesian coordinate system, the introduction of the function nomenclature by Leibniz, and the popularization by Euler of the symbolic notation \(f(x)\) for a function (The Function Concept, 2007). The goal was to introduce both the longevity of the subject and the amount of effort required to invent the subject as it is known today.
Quadratics and Parabolas: Looks at the development of quadratic equations (as an application of finding areas for quadrilaterals) and parabolas. The goal is to further extend the notion of the fluidity of mathematics and the time span required to develop today's mathematics. Also, this module introduces the need for vocabulary and the process in which vocabulary was developed.
D. Goodwin (Black Hills State University) and G. W. Hagerty (Black Hills State University) and S. Smith (Black Hills State University), "The Unique Effects of Including History in College Algebra - The Modules (1)," Loci (June 2010), DOI:10.4169/loci002530
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Algebra, Revised Edition describes the history of both strands of algebraic thought. This updated resource describes some of the earliest progress in algebra as well as some of the mathematicians in Mesopotamia, Egypt, China, and Greece who contributed to this early period. It goes on to explore the many breakthroughs in algebraic techniques as well... more...
Looking closely at algebra, its historical development, and its many useful applications, Algebra examines in detail the question of why this type of math is so important that it arose in different cultures at different times. The book also discusses the relationship between algebra and geometry, shows the progress of thought throughout the centuries,... more...
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'Over 100 math formulas at high school level. The covered areas include algebra, geometry, calculus, trigonometry,...
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'Over 100 math formulas at high school level. The covered areas include algebra, geometry, calculus, trigonometry, probability and statistics. Most of the formulas come with examples for better understanding. Use the powerful search function to find what you are looking for and mark your favorites for easier access. A convenient tool for students and teachers and a handy reference for anyone interested in math!'This app costs $0.99
We are developing a unique approach that uses affordable handheld IR cameras (under $900) to visualize invisible energy flows...
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We are developing a unique approach that uses affordable handheld IR cameras (under $900) to visualize invisible energy flows and transformations in easy-to-do science experiments. Using this "desktop remote sensing" approach, thermal energy can be readily "seen." Other types of energy that convert into thermal energy can be inferred from thermal signals. Hence, many invisible physical, chemical, and biological processes that absorb or release heat can be visualized, discovered, and investigated.
NOTE: Must create an account in order to download book.A book of free economics notes based on more than thirty years'...
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NOTE: Must create an account in order to download book.A book of free economics notes based on more than thirty years' experience of teaching and supervising students on three continents.The contentsr:Chapter 1 An Introduction to Economics in 5,000 Words and a BitChapter 2 Trying to Make Sense of Economic Policy—Part 1: What Do Governments Try to Do?Chapter 3 Trying to Make Sense of Economic Policy—Part 2: Why is it so Difficult to Get it Right?Chapter 4 Business Cycles, Recessions and Economic BoomsChapter 5 Understanding Economics: a Summary of the Advantages and Disadvantages of the Price MechanismChapter 6 Notes on the Difference Between "Economic Growth" and "Economic Development"
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This is at least partly true. The problems you encounter in algebra 1 are more challenging than those you encounter in arithmetic. However, you often use the same techniques you used in arithmetic to solve algebra 1 problems!
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offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the most powerful and influential branch of all Mathematics. Its influence is strongly felt in almost all scientific and artistic disciplines (in Music, in particular) and in Mathematics itself. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears. Given a non-empty set, a binary operation is defined on it such that certain axioms hold, that is, it possesses a structure (the group structure). The concept of structure, and the concepts related to structure such as isomorphism, play a decisive role in modern Mathematics.The general theory of structures is a powerful tool. Whenever someone proves that his objects of study satisfy the axioms of a certain structure, he immediately obtains all the valid results of the theory for his objects. There is no need to prove each one of the results in particular. Indeed, it can be said that the structures allow the classification of the different branches of Mathematics (or even the different objects in Music (! )).The present text is based on the book in Spanish "Teoría de Grupos: un primer curso" by Emilio Lluis-Puebla, published by the Sociedad Matemática Mexicana This new text contains the material that corresponds to a course on the subject that is offered in the Mathematics Department of the Facultad de Ciencias of the Universidad Nacional Autónoma de México plus optional introductory material for a basic course on Mathematical Music Theory.This text follows the approach of other texts by Emilio Lluis-Puebla on Linear Algebra and Homological Algebra. A modern presentation is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, among other disciplines, is introduced.This work consists of four chapters. Each section contains a series of problems that can be solved with creativity by using the content that is presented there; these problems form a fundamental part of the text. They also are designed with the objective of reinforcing students' mathematical writing. Throughout the first three chapters, representative examples (that are not numbered) of applications of Group Theory to Mathematical Music Theory are included for students who already have some knowledge of Music Theory.In chapter 4, elaborated by Mariana Montiel, the application of Group Theory to Music Theory is presented in detail. Some basic aspects of Mathematical Music Theory are explained and, in the process, some essential elements of both areas are given to readers with different backgrounds. For this reason, the examples follow from some of the outstanding theoretical aspects of the previous chapters; the musical terms are introduced as they are needed so that a reader without musical background can understand the essence of how Group Theory is used to explain certain pre-established musical relations. On the other hand, for the reader with knowledge of Music Theory only, this chapter provides concrete elements, as well as motivation, to begin to understand Group Theory.'
This is a free textbook offered by BookBoon.'Essential Group Theory is an undergraduate mathematics text book introducing the...
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This is a free textbook offered by BookBoon.'Essential Group Theory is an undergraduate mathematics text book introducing the theory of groups. It has been aimed primarily at mathematics students but those studying related disciplines such as computer science or physics should also find it useful. The first part summarizes the important points which will be found in most first undergraduate courses in group theory in brief concise chapters.The second part of the book forms an introduction to presentations of groups.'
This is a free textbook offered b BookBoon.'In this book, which is basically self-contained, we concentrate on partial...
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This is a free textbook offered b s a free textbook offered by BookBoon.'This book is a guide through a playlist of Calculus instructional videos. The...
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This is a free textbook offered by BookBoon.'The workbook is designed as a supplement for a Calculus II course taught at most...
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This is a free textbook offered by BookBoon.'The workbook is designed as a supplement for a Calculus II course taught at most American universities.Instructors are required to cover a lot of material in a short period of time and this schedule only allows for one or two examples for each topic which is not sufficient for most students.The workbook provides many more examples with solutions videos to help students master the material and prepare for exams and quizzes.The author used these examples and videos in the Fall 2012 Calculus II course at the University of Illinois at Chicago with significant improvement in exam and quiz scores from previous semesters.'The table of content is:Area ProblemsVolume by Cross-SectionDisk/Washer MethodMethod of Cylindrical ShellsIntegration by PartsTrigonometric IntegralsTrigonometric SubstitutionMethod of Partial FractionArc LengthInfinite Series Test for DiverganceInfinite Series Geometric SeriesInfinite Series Telescoping SeriesInfinite Series Integral TestLimit Comparison Test
This is a free textbook offered by BookBoon.'This book is the exercise companion to A youtube Calculus Workbook (part II)....
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This is a free textbook offered by BookBoon.'This book is the exercise companion to A youtube Calculus Workbook (part II). Its structures in modules mirrors that of the workbook. The book includes, for 31 topics, a worksheet of exercises without solutions, which are typically meant to be either worked out in class with the help of the teacher or assigned, a homework set consisting of exercises similar to those of the worksheet, and the complete solutions of the homework sets. It also contains four mock tests with solutions, and a sample final exam with solutions.Additionally, a brief discussion of the use of the Workbook and the exercise book in a flipped classroom model is included.'
This is a free textbook from BookBoon.'״Free ebooks + free videos = better education" is the equation that describes this...
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This is a free textbook from BookBoon.'״Free ebooks + free videos = better education" is the equation that describes this book's commitment to free and open education across the globe. Download the book and discover free video lessons on the Author's YouTube channel.״Engineering Mathematics: YouTube Workbook" takes learning to a new level by combining free written lessons with free online video tutorials. Each section within the workbook is linked to a video lesson on YouTube where the author discusses and solves problems step-by-step.The combination of written text with interactive video offers a high degree of learning flexibility by enabling the student to take control of the pace of their learning delivery. For example, key mathematical concepts can be reinforced or more deeply considered by rewinding or pausing the video. Due to these learning materials being freely available online, students can access them at a time and geographical location that suits their needs.'The table of contents includes:Partial derivatives & applicationsPartial derivatives & partial differential equationsPartial derivatives & chain ruleTaylor polynomial approximations: two variablesError estimationDifferentiate under integral signs: Leibniz ruleSome max/min problems for multivariable functionsHow to determine & classify critical pointsMore on determining & classifying critical pointsThe method of Lagrange multipliersAnother example on Lagrange multipliersMore on Lagrange multipliers: 2 constraintsA glimpse at vector calculusVector functions of one variableThe gradient field of a functionThe divergence of a vector fieldThe curl of a vector fieldIntroduction to line integralsMore on line integralsFundamental theorem of line integralsFlux in the plane + line integralsDouble integrals and applicationsHow to integrate over rectanglesDouble integrals over general regionsHow to reverse the order of integrationHow to determine area of 2D shapesDouble integrals in polar co-ordinatesMore on integration & polar co-ordinatesOrdinary differential equationsSeparable differential equationsLinear, first–order differential equationsHomogeneous, first–order ODEs2nd–order linear ordinary differential equationsNonhomogeneous differential equationsVariation of constants / parametersLaplace transforms and applicationsIntroduction to the Laplace transformLaplace transforms + the first shifting theoremLaplace transforms + the 2nd shifting theoremLaplace transforms + differential equationsFourier seriesIntroduction to Fourier seriesOdd + even functions + Fourier seriesMore on Fourier seriesApplications of Fourier series to ODEsPDEs & separation of variablesDeriving the heat equationHeat equation & separation of variablesHeat equation & Fourier series.'
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Woodacre PrecalculusIn Algebra 1 we also study graphical methods in order to visualize functions as straight lines or parabolas. Further we learn about factorization and the solutions of quadratic equations. Seeing many advanced students who struggle with algebra 1 concepts makes me feel good about my algebra 1 students because I help them to learn it properly from the beginning
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MAA Bookstore - Mathematical Association of America
A searchable list of books, with descriptions, in the following categories: Algebra; Analysis; Applied Mathematics; Calculus; Career Information; Computing and Computers; Elementary Models; Games, Puzzles, and Popular Exposition; Geometry and Topology;
...more>>
Math-Assist - Bernd Schultheiss
Math shareware from Germany (English, French, and German versions are available) for secondary level or high school students and teachers. Math-Assist helps in solving most of the tasks of algebra, geometry, analysis, stochastics, and linear algebra.
...more>>
Mathematica in Higher Education - Wolfram Research
Lessons, resources, books, and classroom packs for making Mathematica software an integral part of math education in university and college classrooms. Also features Mathematica versions geared and priced for students, as well as flexible academic purchase
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Mathematical Analysis II - Elias Zakon
This is the final text in the Zakon Series on Mathematical Analysis, containing nearly 500 exercises. The work is free to students using it for self-study. Find contents, index, and purchasing information on the site.
...more>>
Mathematical Publications - ZIB/Math-Net
A page on electronic publishing in mathematics, with sections on mathematical journals and bibliographies, separated into references to E-journals, General Journals and Bibliographies, and Subject Specific Journals and Bibliographies. Also Preprint Archives,
...more>>
Mathematica: Tour of Features - Wolfram Research, Inc.
Pages that guide you through an interactive demonstration of some of Mathematica's capabilities. New features; using the program as a calculator; power computing; accessing algorithms; building up computations; handling data; visualization; Mathematica
...more>>
Math - Science Search
Science Search is a directory for scientific topics, including this subsection of Math. Individual entries include description, category, and a user rating of the site.
...more>>
maths online - University of Vienna, Austria
A modern mathematics learning site on the Web: details of the project, persons and institutions participating, or project proposals (only in German). The Gallery consists of interactive multimedia learning units (Java applets), each of which includes
...more>>
Maxwell's Demon - Edmund Harriss
Harriss, a mathematician and artist of substitution tilings, tilings with a scaling symmetry like the Penrose Tiling, writes that "the major themes of this blog revolve around mathematics communication and mathematics art." His posts, which date back
...more>>
m@th IT
A "platform to promote, propagate, and mediate applied mathematics and computer sciences," with emphasis on cryptography, number theory, financial mathematics, logic and knowledge representation, and quantum computation. In particular, m@th IT offers
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Numericana.com - Gérard P. Michon
The online companion of Numericana, this site contains excerpts from Michon's book, including the entire glossary of scientific terms. Browse an index with pithy summaries, browse by popularity, or search nearly two hundred of his "final answers" of readers'
...more>>
O-Matrix - Harmonic Software, Inc.
An interactive analysis and visualization program for Windows. Provides extensive analysis and graphic capabilities, an integrated debugger, a profiler, a full-screen editor and a matrix-oriented interpreted language, with analysis functions in the following
...more>>
OpenFVM CFD solver
OpenFVM is a general CFD solver released under the GPL license. It was
developed to simulate the flow in complex 3D geometries. Therefore, the
mesh can be unstructured and contain control volumes with arbritrary shape.
The code uses the finite volume
...more>>
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Elementary Geometry for College Students
9781439047903
ISBN:
1439047901
Edition: 5 Pub Date: 2010 Publisher: Brooks Cole
Summary: If you want to rent Elementary Geometry for College Students online, we can help you. This text book, written by Daniel C Alexander and Geralyn M Koeberlein, was published by Brooks Cole in 2010. Now you can get cheap Elementary Geometry for College Students here in its 5th edition for an affordable price. We specialize in providing great deals that are heavily discounted for previously owned copies. You can buy Elem...entary Geometry for College Students online here for a price far lower than you might think, and sell back later on too. We provide the whole deal for every college student.
Alexander, Daniel C. is the author of Elementary Geometry for College Students, published 2010 under ISBN 9781439047903 and 1439047901. Three hundred seventy four Elementary Geometry for College Students textbooks are available for sale on ValoreBooks.com, one hundred twenty six used from the cheapest price of $26.39, or buy new starting at $153.83.[read more]
Ships From:Lincoln, NEShipping:StandardComments:A FEW LOOSE PAGES, LOOSE BINDING. This item may not include any CDs, Infotracs, Access cards or o... [more]A FEW LOOSE PAGES, LOOSE BINDING this book was getting across the basics of geometry. I found this book very effective because it gave you review and test questions/answers which was very helpful when preparing for a test. Most of the time teachers will use problems from here for quizzes or test so practicing these problems is crucial. The examples in each chapter are very helpful as well because they give a break down of each problem.
If I could change one thing about this book it would be to provide all the answers for every other problem. Sometimes in certain chapters, answers to the odd problems would be missing. But other than that this book was very helpful in helping me pass with an A this semester!
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College Trigonometry 6e
9780618825073
061882507X
Summary: Accessible to students and flexible for instructors, "College Trigonometry," Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses th...at allow the option of using graphing calculators. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs.The authors' proven "Aufmann Interactive Method" allows students to try a skill as it is presented in example form. This interaction between the examples and "Try Exercises" serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition, "Review Notes" are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts."Updated!" End-of-chapter exercises--"Assessing Concepts"--have been revised to include more question types including fill-in-the-blank, multiple choice, and matching."Revised!" "Prepare for This Section" exercises, formerly "Prepare for the Next Section," have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered."New!" "Calculus Connection" icons have been added to indicate topics that will be revisited in subsequent courses, laying the groundwork for further study."New!" AQuantitative Reasoning feature demonstrates math solutions to real-world problems and is compliant with MAA Guidelines and AMATYC 2006 Crossroads Revisited."Applications" require students to use problem-solving strategies and new skills to solve practical problems. Covering topics from many disciplines, including agriculture, business, chemistry, education, and sociology, these problems demonstrate to students the practicality and value of algebra.Noted by a pie chart icon, "Real Data" examples and exercises require students to analyze and construct mathematical models from actual situations.Appearing throughout the text, "Integrating Technology" notes offer relevant information about using graphing calculators as an alternative way to solve a problem. Step-by-step instructions allow students to use technology with confidence."Exploring Concepts with Technology," an optional end-of-chapter feature, uses technology (graphing calculators, CAS, etc.) to explore ideas covered in the chapter. These investigations can be used in a variety of ways, such as group projects or extra-credit assignments. Together with "Integrating Technology" tips, this feature makes the text appropriate for courses that allow the use of graphing calculators.
Aufmann, Richard N. is the author of College Trigonometry 6e, published 2007 under ISBN 9780618825073 and 061882507X. Six hundred sixty four College Trigonometry 6e textbooks are available for sale on ValoreBooks.com, one hundred twenty nine used from the cheapest price of $83.15, or buy new starting at $103061882507X BRAND NEW. We are a tested and proven company with over 900, 000 satisfied customers since 1997. Choose expedited shipping (if available) for much faster delivery. [more]
061882507X
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Lesson 10: Functions and Level Sets
by Matthew Leingang, Clinical Associate Professor of Mathematics at New York University on Feb 27, 2008
5,552 views
A contour plot is a nice way to visualize the graph of a function of two variables. If the function is a utility function, this is nothing more than the set of indifference curves. More generally, ...
A contour plot is a nice way to visualize the graph of a function of two variables. If the function is a utility function, this is nothing more than the set of indifference curves. More generally, it's like a topographical map of the surface
| 677.169 | 1 |
9780321442321
ISBN:
0321442326
Edition: 9 Publisher: Pearson
Summary: Addison Wesley Staff is the author of Problem Solving Approach to Mathematics for Elementary School Teachers - Rick Billstein - Hardcover, published under ISBN 9780321442321 and 0321442326. One hundred nineteen Problem Solving Approach to Mathematics for Elementary School Teachers - Rick Billstein - Hardcover textbooks are available for sale on ValoreBooks.com, fifteen used from the cheapest price of $5.37, or buy ne...w starting at $175Textbook-Sound copy, mild reading wear. May or may not have untested CD or Infotrac. May contain highlighting, underlining or writing in text. No international shipping. Purc [more]
Textbook-Sound copy, mild reading wear. May or may not have untested CD or Infotrac. May contain highlighting, underlining or writing in text. No international shipping. Purchasing this item helps us provide vocational opportunities to people with barriers to employment1442321
ISBN:0321442326
Edition:9th
Publisher:Pearson
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Course Listings
Math
MATH 102X Problem-Solving (.25)
The course will offer students the opportunity to solve challenging mathematical problems unlike standard homework problems in any course. Class time will be spent studying problems, discovering solutions, writing up solutions formally, and discussing the important ideas of each solution. Most problems will be of the kind appearing on the Putnam Exam, an annual international mathematics competition. This course may be repeated for credit.
Offering: Fall
Instructor: Staff
MATH 130 (QA*) Contemporary Mathematics (1)
A survey of contemporary topics in mathematics such as: voting systems and power, apportionment, fair division of divisible and indivisible assets, efficient distribution, scheduling and routing, growth and decay in nature and economics, symmetry and fractal geometry, probability and statistics. MATH 130 may not be taken for credit after any Mathematics course numbered above 140 has been completed.
MATH 141 (QA*) Calculus I (1)
A first course in calculus-differential and integral calculus of algebraic and exponential functions, with applications. (MATH 141 counts for only .5 credit if the student has completed MATH 139 Brief Calculus.)
MATH 142 (QA*) Calculus II (1)
A second course in calculus: review of differential and integral calculus via trigonometric and logarithmic functions, techniques and applications of integration, polar coordinates and parametric equations, infinite series.
MATH 220 (QA) Mathematics for Elementary Teachers (1)
The objective of the course is to present mathematics in a format that prepares teachers to teach elementary school mathematics. Teachers need a firm foundation in the theory of mathematics as it pertains to the elementary school curriculum. They also need ideas and methods for teaching that will generate interest and enthusiasm among the students. Topics to be covered will include problem solving, mathematics as a method of communication, mathematics as a method of reasoning, and specifics of elementary school mathematics such as whole number operations, geometry and spatial sense, measurement and estimation, fractions and decimals, and patterns and relationships.
MATH 251 (W) Foundations of Advanced Mathematics (1)
This course is intended as the first course after calculus for those students intending to major or minor in mathematics. It provides an introduction to logic and the methods of proof commonly used in mathematics. Applications covered in the course are the foundations of set theory, the real number system, elementary number theory and other basic areas of mathematics.
MATH 325 (QA) Mathematics for Teachers (1)
The objective of this course is to present mathematics in a format that prepares teachers to teach mathematics in the public schools. Teachers need a firm foundation in the theory of mathematics as it pertains to their particular curricula. They also need ideas and methods for teaching that will generate interest and enthusiasm among the students. The course will emphasize mathematics as a method of communication and reasoning. Topics selected to be relevant to elementary, middle, and/or high school curricula will depend on the interests of the students, but will have a strong problem-solving emphasis. The course will require an extensive early field experience in the public school classroom.
MATH 366 (QA) Applied Mathematics: Optimization (1)
Formulation of problems in mathematical terms, solutions of the problems, interpretation and evaluation of the solutions. Topics will be chosen from inventory problems, growth and survival models, linear programming, scheduling, Markov chains, game theory and queuing problems.
MATH 446 Advanced Calculus (1)
A study of the concepts of calculus from an advanced standpoint. Includes the real numbers, real valued functions, differentiation and integration, vector valued functions, line and surface integrals. Other topics may be chosen from point set topology, measure and integration, differential geometry and calculus of variations.
MATH 486 Topics in Mathematics (1)
This course offers timely exposure to topics in mathematics which are not part of the regular curriculum. Examples of topics which might be offered: Cryptology, Differential Geometry, Vector Analysis, Topology.
Offering: On demand
Instructor: Staff
MATH 490 Independent Research (.5)
Directed research to investigate topics of special interest under the guidance of a faculty member. Topics chosen on the basis of the background and interests of the individual student.
Prerequisite: Consent of instructor
Offering: On demand
Instructor: Staff
MATH 491 Advanced Independent Study (.5)
A course of directed research designed to enable the exceptional student to continue the investigation of topics of special interest under the guidance of a faculty member.
Prerequisite: Consent of instructor
Offering: On demand
Instructor: Staff
MATH 499 Seminar in Mathematics (1)
Study selected in consultation with the mathematics faculty and presented to the class. The seminar serves as the Senior Year Experience and involves oral and written presentation of research and reading topics. Required for Mathematics majors.
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More About
This Textbook
Overview
This is an easy-to-follow tutorial on the most popular text processing system used in the academic community. It explains formatting fundamentals and the more complex techniques for typesetting mathematical formulas. It is useful as a resource for those with access to the previous version (LATEX 2.09) who want to update themselves on the latest version - LATEX 2.
The book is aimed at anyone interested in text processing and in particular those wanting to use LATEX to produce high quality documents. LATEX 2e is suitable for people with no previous LATEX experience.
Written from the users point of view, this edition features many entirely new commands, replacing obsolete material as well as an appendix describing the main differences between old version LATEX 2.09 and the new version. There is also a glossary of all basic LATEX 2 commands.
Many of the typesetting examples from the book are coded as templates and are available on the accompanying Website
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MTHS 632
Linear Algebra through Geometry
Fieldsteel,Adam
01/24/2005 - 05/07/2005
Wednesday -
Special Schedule: July 4th Holiday makeup class will be held Friday, July 8 from 9:00-12:00
Linear algebra is a subject with a dual nature; the central ideas are both algebraic and geometric. While the power of the subject comes from the algebra, the ideas are perhaps best understood by emphasizing their geometric content, which is the geometry of lines, planes, and their higher dimensional analogues.
In this course, we will develop the subject first in two dimensions, where the geometry and algebra are simplest, and then in three dimensions, where it is still possible to visualize the geometry. Once the subject is understood in these settings, we will see how (and how easily) the subject extends to higher dimensions. In particular, we will see how the algebra we develop with the aid of geometry can then be used to investigate geometric objects that we are unable to visualize.
Regular homework will be assigned and will be an essential part of the learning process.
No mathematical background is required beyond high school algebra and geometry
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Calculus for Business, Economics, Life Sciences and Social Sciences, Books a la Carte Edition, 12th Edition
Description
This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook.
This accessible text is designed to help readers help themselves to excel. The content is organized into two parts: (1) A Library of Elementary Functions (Chapters 1—2) and (2) Calculus (Chapters 3—9). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of teaching and learning when readers' prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today's students and instructors.
Table of Contents
Part One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs
1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
1-4 Quadratic Functions
Chapter 1 Review
Review Exercise
Chapter 2: Functions and Graphs
2-1 Functions
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Polynomial and Rational Functions
2-5 Exponential Functions
2-6 Logarithmic Functions
Chapter 2 Review
Review Exercise
Part Two: Calculus
Chapter 3: Limits and the Derivative
3-1 Introduction to Limits
3-2 Infinite Limits and Limits at Infinity
3-3 Continuity
3-4 The Derivative
3-5 Basic Differentiation Properties
3-6 Differentials
3-7 Marginal Analysis in Business and Economics
Chapter 3 Review
Review Exercise
Chapter 4: Additional Derivative Topics
4-1 The Constant e and Continuous Compound Interest
4-2 Derivatives of Exponential and Logarithmic Functions
4-3 Derivatives of Products and Quotients
4-4 The Chain Rule
4-5 Implicit Differentiation
4-6 Related Rates
4-7 Elasticity of Demand
Chapter 4 Review
Review Exercise
Chapter 5: Graphing and Optimization
5-1 First Derivative and Graphs
5-2 Second Derivative and Graphs
5-3 L'Hopital's Rule
5-4 Curve Sketching Techniques
5-5 Absolute Maxima and Minima
5-6 Optimization
Chapter 5 Review
Review Exercise
Chapter 6: Integration
6-1 Antiderivatives and Indefinite Integrals
6-2 Integration by Substitution
6-3 Differential Equations; Growth and Decay
6-4 The Definite Integral
6-5 The Fundamental Theorem of Calculus
Chapter 6 Review
Review Exercise
Chapter 7: Additional Integration Topics
7-1 Area Between Curves
7-2 Applications in Business and Economics
7-3 Integration by Parts
7-4 Integration Using Tables
Chapter 7 Review
Review Exercise
Chapter 8: Multivariable Calculus
8-1 Functions of Several Variables
8-2 Partial Derivatives
8-3 Maxima and Minima
8-4 Maxima and Minima Using Lagrange Multipliers
8-5 Method of Least Squares
8-6 Double Integrals Over Rectangular Regions
8-7 Double Integrals Over More General Regions
Chapter 8 Review
Review Exercise
Chapter 9: Trigonometric Functions
9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integration of Trigonometric Functions
Chapter 9 Review
Review Exercise
Appendixes
Appendix A: Basic Algebra Review
Self-Test on Basic Algebra
A-1 Algebra and Real Numbers
A-2 Operations on Polynomials
A-3 Factoring Polynomials
A-4 Operations on Rational Expressions
A-5 Integer Exponents and Scientific Notation
A-6 Rational Exponents and Radicals
A-7 Quadratic Equations
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Basic Geometric Formulas
Table II Integration Formulas
Answers
Index
Applications Index
A Library of Elementary Functions
This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.
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The primary objective of the Brookdale Math Club is to foster a community of students around a common interest in mathematics. Club members will have opportunities to apply and improve math skills by participating in math competitions and learning circles. Members will also be able to engage with colleagues in the discipline by attending math conferences and will participate in social gatherings aimed at advancing interactions with their cohort.
The Brookdale Math Club members will learn about interesting careers in math related fields and engage in activities that promote the appreciation and pursuit of mathematics.
The goal at most meetings is to learn about some area of math that you would not typically see in your Brookdale coursework. Topics have included:
| 677.169 | 1 |
4492770 / ISBN-13: 9780534492779
Precalculus: Mathematics for Calculus
This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling ...Show synopsisThis best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, thisHide synopsis
...Show more' attention to detail and clarity, as in James Stewart's market-leading Calculus text, is what makes this text the market leader.Hide
Description:Acceptable. With CD! Shows definite wear, and perhaps...Acceptable. With CD! Shows definite wear, and perhaps considerable marking on Precalculus: Mathematics for Calculus, Fifth Edition. This...Good. Precalculus: Mathematics for Calculus, Fifth Precalculus: Mathematics for Calculus
Book is actually pretty good, I like the fact that its first chapter is a review of stuff from intermediate algebra...if you are using this book...and you have just finished intermediate/college algebra...get this book and do each section of ch. 1...this will set you up for a good foundation for the ...
More
A beautiful presentation and treatment of all math required before studying calculus. Comprehensive, and a strong focus on theory. Lots of problems to test yourself. Get through this and then star in your calculus study, as you are now VERY well prepared.
More
This book is one of the best out there in the current markets. Dr. Stewart explains this subject with geometrical shapes to better understand the subject. For example he explains and proves the the phytogorean theorem, laws of sines and cosines, and alot more. Highly recommend this book as well as
| 677.169 | 1 |
Algebra and Trigonometry
9780470222737
ISBN:
0470222735
Edition: 2 Pub Date: 2009 Publisher: Wiley, John & Sons, Incorporated
Summary: Young bridges the gap between algebra and trigonometry by utilising an innovative method that clearly helps them learn and apply the material. The book is graphing optional, providing very few integrated screen shots and little keystroke instruction.
Young, Cynthia Y. is the author of Algebra and Trigonometry, published 2009 under ISBN 9780470222737 and 0470222735. Five hundred twenty six Algebra and Trigono...metry textbooks are available for sale on ValoreBooks.com, one hundred fifty used from the cheapest price of $48.39, or buy new starting at $82.67.[read more]
| 677.169 | 1 |
ALEX Lesson Plans
Title: A Piece of Pi
Description:
This 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6]
Subject: Mathematics (9 - 12) Title: A Piece of Pi Description: This
Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities.
Description:
ThisStandard(s):MA2013] AL2 (9-12) 13: Use the structure of an expression to identify ways to rewrite it. [A-SSE2] [MA2013] AL2 (9-12) 34: Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
[F-BF (9 - 12), or Technology Education (9 - 12) Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities. Description: This Graphing Stations
Description:
ThisSubject: Mathematics (8 - 12) Title: Graphing Stations Description: This
Title: Math is Functional
Description:
This ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) AL1 (9-12) 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [F-LE1 14: Use digital tools to defend solutions to authentic problems. [MA2013] AL1 (9-12) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]
Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: Math is Functional Description: This
Title: You Mean ANYTHING To The Zero Power Is One?
Description:
This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
Standard(s): [TC2] CA2 (9-12) 5: Utilize advanced features of spreadsheet software, including creating charts and graphs,
sorting and filtering data, creating formulas, and applying functions. ALC (9-12) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] AL1 (9-12) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2] [MA2013] AL1 (9-12) 131 (9-12) 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] 1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. [N-RN1] [MA2013] AL1 (9-12) 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* [A-SSE3]
Title: Apple Pie Recording Chart
Description:
This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects.
Standard(s): [MA2013] (6) 1: Understand the concept of a ratio, and use ratio language to describe a ratio relationship between two quantities. [6-RP1 20: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. [7-SP4] [MA2013] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association Title: Apple Pie Recording ChartTitle: Gallery Walk
Description:
In from Gallery Walk
Title: Think of a Graph
Description:
This reproducible transparency, from an Illuminations lesson, asks students to sketch a graph in which the side length of a square is graphed on the horizontal axis and the perimeter of the square is graphed on the vertical axis 1: Create algebraic models for application-based problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama) [MA2013] ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics Title: Think of a GraphTitle: Graph Chart
Description:
This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.
Standard(s): 2: Recognize and represent proportional relationships between quantities. [7-RP2] represented 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1 Graph ChartTitle: Bathtub Water Levels
Description:
In quantities Bathtub Water LevelsTitle: Automobile Mileage: Comparing and Contrasting
Description:
In variables Automobile Mileage: Comparing and ContrastingTitle: Graph Chart
Description:
Using
Subject: Mathematics Title: Graph Chart Description: Using Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Title: How Should I Move?
Description:
In
Subject: Mathematics Title: How Should I Move?Title: Numerical Analysis
Description:
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3] [MA2013] AL1 (9-12) 34: Write a function that describes a relationship between two quantities.* [F-BF1] [MA2013] ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) [MA2013] DM1 (9-12) 3: Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama) Mathematics,Science Title: Numerical Analysis Description: In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Interactives/Games
Title: Karl's Function Plotter
Description: plotting
ALTKarl's Function Plotter plotting
Thinkfinity Learning Activities
Title: Tube Viewer Simulation
Description:
This student interactive, from Illuminations, simulates the effect of viewing an image through a tube. As students move the location of the person or change the length of the tube, the image and measurements also change Tube Viewer Simulation
| 677.169 | 1 |
Math Help
An Engineers Quick References to Mathematics
Algebra Help Math Sheet
This algebra reference sheet contains the following algebraic operations addition, subtraction, multiplication, and division. It also contains associative, commutative, and distributive properties. There are example of arithmetic operations as well as properties of exponents, radicals, inequalities, absolute values, complex numbers, logarithms, and polynomials. This sheet also contains many common factoring examples. There is a description of the quadratic equation as well as step by step instruction to complete the square.
Geometry Math Sheet
This geometry help reference sheet contains the circumference and area formulas for the following shapes: square, rectangle, circle, triangle, parallelogram, and trapezoid. It also includes the area of a circular ring as well as the area and segment length of a circular sector. This reference sheet contains formulas for area and volume of rectangular box, cube, and cylinder. This math help sheet also includes the area, side length, and volume of a right circular cone, as well as the volume of a frustum of a cone.
Trigonometry Definition Math Sheet
This trigonometry definition help sheet contains right triangle definitions for sine, cosine, tangent, cosecant, secant, and cotangent. It also contains the unit circle definitions for all trig functions. This sheet describes the range, domain and period for each of the trig functions. There is also a description of inverse trig function notation as well as domain and range.
Trigonometry Laws and Identities Math Sheet
This trigonometry laws and identities help sheet contains the law of cosines, law of sines, and law of tangents. It also contains the following identities: tangent identities, reciprocal identities, Pythagorean identities, periodic identities, even/odd identities, double angle identities, half angle identities, product to sum identities, sum to product identities, sum/difference identities, and cofunction identities.
Calculus Derivatives and Limits Math Sheet
This calculus derivatives and limits help sheet contains the definition of a derivative, mean value theorem, and the derivative's basic properties. There is a list of common derivative examples and chain rule examples. The following derivative rules are also described: product rule, quotient rule, power rule, chain rule, and L'Hopital's rule. This sheet also contains properties of limits as well as examples of limit evaluations at infinity. A limit evaluation method for factoring is also included.
Calculus Integrals Math Sheet
This calculus integral reference sheet contains the definition of an integral and the following methods for approximating definite integrals: left hand rectangle, right hand rectangle, midpoint rule, trapezoid rule, and Simpson's rule. There is a list of many common integrals. Also included in this reference sheet is nice table for trigonometric substation when using integrals. Integration by substitution is defined as well as the integration by parts.
Integrals
The integral is a mathematical analysis applied to a function that results in the area bounded by the graph of the function, x axis, and limits of the integral. Integrals can be referred to as anti-derivatives, because the derivative of the integral of a function is equal to the function.
Limits Math Help
The limit is a method of evaluating an expression as an argument approaches a value. This value can be any point on the number line and often limits are evaluated as an argument approaches infinity or minus infinity. The following expression states that as x approaches the value c the function approaches the value L.
Trig Definition Math Help
To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:
The circle is a shape where all points along the shape are equal distance from a specific point. This point is the center of the circle and the distance to the center of the circle is the radius. The circumference of a circle of radius r is:
The sphere is a 3 dimensional object, whose surface is continuous and all points of the surface are an equal distance from a fixed point, the center. The surface area of a sphere, where r is the radius, is:
The cylinder, also know as the right circular cylinder, is formed by rotating a line, of length h, around a fixed axis parallel to that line. A cylinder has two ends that are equally sized circles parallel to one another and the circular side is at a right angle to these circular ends. The surface area of cylinder is:
The frustum of a cone is a portion of cone with the top removed. The top and bottom surfaces are parallel to one another. The volume of a frustum of a cone, where the top radius is r and the bottom radius is R, is:
Algebra Math Help
Addition is the operation of combining two numbers. If more than two numbers are added this can be called summing. Addition is denoted by + symbol. The addition of zero to any number results in the same number. Addition of a negative number is equivalent to subtraction of the absolute value of that number.
Multiplication is the product of two numbers and can be considered as a series of repeat addition. Multiplication of a negative number will result in the reciprocal of the number. Multiplication of zero always results in zero. Multiplication of one always results in the same number.
The law of distribution allows operations in some cases to be broken down into parts. The property is applied when multiplication is applied to a group of division. This law is applied in the case of factoring.
Complex Numbers
Complex numbers are an extension of the real number system. Complex numbers are defined as a two dimension vector containing a real number and an imaginary number. The imaginary unit is defined as:
The complex number format where a is a real number and b is an imaginary number is defined as:
Unlike the real number system where all numbers are represented on a line, complex numbers are represented on a complex plane, one axis represents real numbers and the other axis represents imaginary numbers.
Logarithms
A logarithm is a function that for a specific number returns the power or exponent required to raise a given base to equal that number. Some advantages for using logarithms are very large and very small numbers can be represented with smaller numbers. Another advantage to logarithms is simple addition and subtraction replace equivalent more complex operations. The definition of a logarithms is:
Factoring
A polynomial is an expression made up of variables, constants and uses the operators addition, subtraction, multiplication, division, and raising to a constant non negative power. Polynomials follow the form:
The polynomial is made up of coefficients multiplied by the variable raised to some integer power. The degree of a polynomial is determined by the largest power the variable is raised.
Completing the square is a method used to solve quadratic equations. Algebraic properties are used to manipulate the quadratic polynomial to change its form. This method is one way to derive the quadratic formula.
The steps to complete the square are:
Divide by the coefficient a.
Move the constant to the other side.
Take half of the coefficient b/a, square it and add it to both sides.
Factor the left side of the equation.
Use the square root property.
Solve for x.
Functions and Graphs
Expressions evaluated at incremental points then plotted on a Cartesian coordinate system is a plot or graph.
Calculate the required internal trace width for a specified current
Trace Width Calculator
Choose Type
Stripline Trace Width Calculator
Inputs
Additional Inputs
Ambient Temperature
Tamb
Length
L
Output
Trace Width required trace width for a specified current
Trace Width Calculator
Choose Type
Microstrip Trace Width Calculator
Inputs
Additional Inputs
Ambient Temperature
Tamb
Length
L
Output
Trace Width maximum current of an internal trace
Trace Max Current Calculator
Choose Type
StriplineImpedance Matching Circuits
Choose Type
PI Network Impedance MatchingPI Match Impedance Calculator
The Pi match circuit gets its name because the circuit topology can look like a pi symbol.PI piImpedance Matching Circuits
Choose Type
T-Match TopologyT Match Impedance Calculator
The T match circuit gets its name because the circuit topology looks like the letter "TT
The outputs of this tool give you the component values as well as a graph of the impedance looking into theL-Match
Impedance Matching Circuit
Impedance Matching Circuits
Choose Type
L-Match Topology
Inputs
Frequency
F
Source Resistance
RS
Ohm
Source Reactance
XS
Ohm
Load Resistance
RL
Ohm
Load Reactance
XL
Ohm
Circuit DC Current
Outputs
L:
C:
Q:
Plots:
Mag & Phase
Real & Complex
Freq:
Mag:
Phase:
L Match Impedance Calculator
The L match circuit gets its name because the circuit topology can look like the letter "LL Match Circuit Description
There are some important items to understand when using this tool. The circuit topology can change depending on the inputs. In all topologies there is one inductor and one capacitor, but the location of these components changes LExternal PCB Trace Max Current
Calculate the maximum current of a trace
Trace Max Current Calculator
Choose Type
MicrostripIf the nominal value was 345 Ohm and the 5th band of the resistor was gold (5%) the value range would be nominal +/- 5% = 327.75 to 362.25
Resistance Temperature Coefficient
Resistors values can change with temperature. The 6th band represents the temperature coefficient or tempco and is represents the amount the resistance value will change with temperature. It is in units of ppm/degree C. The band colors represents the following:
If the nominal value was 34 Ohm and the 4th band of the resistor was gold (5%) the value range would be nominal +/- 5% = 32.3 to 35.7
RF Unit Converter
Make conversions between common RF units
EEWeb
Rf Unit Converter
Impedance
Ohm
Voltage
Vpeak
Vrms
uV
uV EMF
uV PD
dBuV
dBuV EMF
dBuV PD
Power
W
mW
uW
dBm
dBuW
dBuW EMF
dBuW PD
dBpW
dBpW EMF
dBpW PD
Enter value in Voltage or Power field and all other values will be calculated
RF Unit Converter Introduction
This tool is a unit converter for voltage and power. There is an input for impedance that allows the relationship between power and voltage.
Ohm
The unit for resistance or impedance. Resistance can define the relationship between voltage and current and voltage and power. Based upon ohms law the voltage and current relatinship is:
r = \frac{v}{i}
and power is
power = \frac{v^{2}}{r}
Vpeak – Peak Voltage
Peak voltage of an AC signal is the peak amplitude.
Vrms – RMS Voltage
The Root Mean Square Voltage or Vrms is:
V_{rms}=\frac{V_{peak}}{\sqrt{2}}
uV – Microvolt (RMS)
This value is the RMS voltage in microvolts.
\mu V=\frac{V_{peak}}{\sqrt{2}}\cdot 10^{-6}
uV EMF
This value is microvolt with no termination or load.
\mu V_{emf}=\frac{2\cdot V_{peak}}{\sqrt{2}}\cdot 10^{-6}
uV PD
This value is microvolt with with a load. When a signal has a matched load then half of the voltage is droped across the load. This value is the same value as uV, The unit is just explicitly defined as having the load.
\mu V_{pd}=\frac{V_{peak}}{\sqrt{2}}\cdot 10^{-6}
dBuV – dB Microvolts RMS
This unit is the decible of RMS microvolt.
dB\mu V=20\log \left ( \mu V \right )
dBuV EMF – dB Microvolts EMF
This unit is the decible of EMF microvolt.
dB\mu V_{emf}=20\log \left ( \mu V_{emf} \right )
dBuV PD – dB Microvolts PD
This unit is the decible of EMF microvolt.
dB\mu V_{pd}=20\log \left ( \mu V_{pd} \right )
W – Watts
Watts is a unit of power.
W=\frac{V_{rms}^{2}}{Z_{o}}
mW – Miliwatts
One thousandth of a watt.
mW=\frac{W}{10^{3}}
uW – Microwatts
One millionth of a watt.
\mu W=\frac{W}{10^{6}}
dBm
dBm is a power measurement and is the decibal of the power in mW.
dBm=10\log \left ( mW \right )
dBuW
dBuW is a power measurement and is the decibal of the power in uW.
dBm=10\log \left ( \mu W \right )
dBuW EMF
dBuW EMF is a power measurement and is the decibal of the power in uW. In a system with no termination or load.
dBm=10\log \left ( 2\cdot \mu W \right )
dBuW PD
dBuW PD is a power measurement and is the decibal of the power in uW. In a system with a matched load.
dBm=10\log \left (\mu W \right )
dBpW
dBpW is a power measurement and is the decibal of the power in pW.
dBm=10\log \left ( \mu W\cdot 1e6 \right )
dBpW EMF
dBpW EMF is a power measurement and is the decibal of the power in pW. In a system with no termination or load.
dBm=10\log \left ( 2\cdot \mu W\cdot 1e6 \right )
dBpW PD
dBpW PD is a power measurement and is the decibal of the power in pW. In a system with a matched load.
Broadside Coupled Trace Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
The broadside coupled trace is a common technique for routing differential pair signals.
Broadside Trace Inductance Description
The inductance of a broadside coupled trace is easy to calculate. Broadside coupled traces are on adjacent planes and the return is identical to the trace in width and length. It is important to note that in industry we can find that some differential pairs are routed this way for a strong coupling, but the actual return for the signal is on a power plane. This calculator is for the case where the signal return is on the adjacent trace. The geometry inputs are:
Coil Inductance
Calculate the Inductance of a Coil
Coil Inductance Calculator
Choose Type
Coil Inductance Calculator
Inputs
Number of Turns
N
Loop Diameter
D
Wire Diameter
d
Relative Permeability
μR
Outputs
Inductance:
Introduction
A coil inductance formula is based upon the basic loop inductance. Inductance is the ability to store energy in a magnetic field, and coils are a very common way to create inductance. Many magnetic field coupling circuits, like chokes and transformers take advantage of a coil's magnetic storage properties.
Wire Loop Inductance Description
The inductance of a wire loop is a common example of a circuit with inductance. The variables used in this tool are the diameter of the wire conductor and the diameter of the wire loop, number of turns, and the relative permeability. Coil inductance is related to individual loop inductance by the square of the number of turns.
Wire Loop Inductance Calculator
Choose Type
Loop Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
A wire loop creates inductance. Inductance is the ability to store energy in a magnetic field.
Wire Loop Inductance Description
The inductance of a wire loop is a common textbook example of a circuit with inductance. The variables used in this tool are the diameter of the wire conductor and the diameter of the wire loop. This calculation is for loop and self inductance they are the same for this example.
Wire Over Plane Inductance Calculator
Inputs
Outputs
Introduction
The wire over plane is a transmission line that is common. One place that it is used is in modifications to existing circuit boards. In some instances one might be interested in only the inductance.
Description
The inductance calculated in this tool is the loop inductance created with the wire and its return path on the ground plane. It is important to notice this is not the self inductance of the wire but a closed loop. The inductance allows one to understand the amount of energy that can be stored in magnetic fields. The only variables used in this calculation are the height of the wire from the reference plane, the radius of the wire, and the relative permeability of the medium around the wire. The permeability of air is 1 for all practical purposes. The permeability of a vacuum is exactly 1.
Coax Inductance
Calculate the Inductance of a Coax Cable
Coax Cable Inductance Calculator
Choose Type
Coax Inductance Calculator
Inputs
Outer Diameter
D
Inner Diameter
d
Length of Wire
L
Relative Permeability
μR
Outputs
Inductance:
Introduction
A coax is a common transmission line construction and most rf cables are coax. The impedance of the coax is a relationship of the capacitance per unit length and the inductance per unit length. This tool will help you find the inductance for a given length of coax cable.
Coax Inductance Description
The inductance of a coax cable can be useful to know. The variables needed in calculating this inductance are center conductor diameter, distance to outer shield, and length. You might notice that the diameter of the outer shield is not required. It is assumed that this shield is sufficiently thick. This calculation is for a loop inductance where the outer shield is the return path for the center conductor.
Coax Inductance Model.
The inductance of the loop created with the center conductor and outer shield.
Parallel Wire Inductance Calculator
Inputs
Outputs
Inductance:
Introduction
The inductance of two parallel conductors can be computed. It is assumed that one of the conductors is the return path for the other wire.
Self Inductance Description
The inductance for the two wire inductance might be useful in measuring the inductance for a signal and ground on a ribbon cable. The inputs to this calculator are length distance between the two conductors and diameter of the wire. These two signals make a complete loop.
Choose Type
Wire Self Inductance Calculator
Inputs
Outputs
Introduction
The inductance of a single conductor is called self inductance. Self inductance is not typically measured, since it is only part of a complete circuit loop.
Self Inductance Description
The inductance calculated in this tool is the self inductance. This self inductance is used in some simulations and is really only part of a total loop inductance. In this tool the variables required are length, and wire diameter. Notice that there is not a return path referenced in this inductance estimator. When calculating a loop inductance the self inductance as well as the mutual inductance to the return path and the return paths self inductancec is accounted for.
Differential Stripline Impedance Calculator
Choose Type
Edge Coupled Stripline symmetric stripline edge couple differential stripline transmission line.
Description
An edge couple differential symmetric stripline transmission line is constructed with two traces referenced to the same reference planes above and below the tracesDifferential Microstrip Impedance Calculator
Choose Type
Edge Coupled Microstrip microstrip differential microstrip transmission line.
Description
An edge couple differential microstrip transmission line is constructed with two traces referenced to the same reference planeThe source for these formulas are found in the IPC-2141A (2004) "Design Guide for High-Speed Controlled Impedance Circuit Boards" and Wadell, Brian C. Transmission Line Design Handbook. Norwood: Artech House Inc, 1991
Wire Stripline Impedance Calculator
Choose Type
Wire Stripline stripline transmission line is similar to a standard stripline transmission line, but with a round conductor. Modeling approximation can be used to understand the impedance of the wire stripline transmission line.
Description
A wire stripline is constructed with a round conductor suspended between two ground planes. The conductor and ground planes are separated with a dielectric. This calculator assumes the distance between the two reference planes to be an equal distance.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Wire Microstrip Impedance Calculator
Choose Type
Wire Microstrip microstrip transmission line is similar to a standard microstrip transmission line, but with a round conductor. Modeling approximation can be used to understand the impedance of the wire microstrip transmission line.
Description
A wire microstrip is constructed with a round conductor suspended over a ground plane. The conductor and ground plane are separated with a dielectric. As with the standard microstrip trace, an effective dielectric constant is calculated because air is on one side of the trace where another dielectric is between the wire and the ground plane.
Example
An example of a wire microstrip might most often be found in prototypes or reworked boards where a wire is used over the top of pcb or copper clad material. If there is an insulator around the wire then this calculator will be an estimate. Include both the pcb dielectric thickness as well as the wire insulation in the height calculation.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Asymmetric Stripline Impedance Calculator
Choose Type
Asymmetric Stripline asymmetric stripline transmission line is most commonly found in a pcb where the distance from trace to planes is not the same distance above and below. The ability to model this impedance is nice because it can often be found in designs. Modeling approximation can be used to design the asymmetric stripline trace. By understanding the asymmetric The distance between the conductor and the planes is not the same for both reference planes. This structure will most likely be manufactured with the printed circuit board process.
Example
An example of an asymmetric stripline is a 4 layer pcb were a trace on layer 3 is referenced to both layer 1 and layer 4. The trace is closest to layer 4 and layer 4 has the dominant effect on the transmission line impedance, but layer 1 would still affect the characteristic impedance of this trace.
Asymmetric Stripline Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Stripline Impedance Calculator
Choose Type
Symmetric Stripline Impedance Calculator
Inputs
Trace Thickness
T
Substrate Height
H
Trace Width
W
Substrate Dielectric
Er
Outputs
Impedance (Z):
Introduction
The symmetric stripline is reliable method for creating a transmission line. The stripline is a TEM (transverse electromagnetic) transmission line. Modeling approximation can be used to design the microstrip trace. By understanding the One advantage of the stripline is that there is an improve isolation between adjacent traces when compared with the microstrip.
Stripline Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Embedded Microstrip Impedance Calculator
Choose Type
Embedded Microstrip embedded microstrip is a similar in construction to the microstrip transmission line. Modeling approximation can be used to design the embedded microstrip trace. By understanding the embedded microstrip transmission line, designers can properly build these structures to meet their needs.
Description
An embedded microstrip is constructed with a flat conductor suspended over a ground plane. The conductor and ground plane are seperated by a dielectric. There is also a layer of dielectric material above the conductor. One case of an embedded microstrip transmision line is a microstrip trace with soldermask.
Embedded Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the embedded microstrip transmission line.
Microstrip Impedance Calculator
Choose Type
Microstrip Impedance Calculator
Inputs
Trace Thickness
T
Substrate Height
H
Trace Width
W
Substrate Dielectric
Er
Output
Impedance (Z):
Introduction
The microstrip is a very simple yet useful way to create a transmission line with a PCB. There are some advantages to using a microstrip transmission line over other alternatives. Modeling approximation can be used to design the microstrip trace. By understanding the microstrip transmission line, designers can properly build these structures to meet their needs.
Description
A microstrip is constructed with a flat conductor suspended over a ground plane. The conductor and ground plane are seperated by a dielectric. The suface microstrip transmission line also has free space (air) as the dielectric above the conductor. This structure can be built in materials other than printed circuit boards, but will always consist of a conductor seperted from a ground plane by some dielectric material.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Outputs
Introduction
Crosstalk is unwanted coupled energy between traces. There are two types of crosstalk: forward and backward crosstalk coefficient as well as the coupled voltage, both can be useful in crosstalk analysis.
Stripline Transmission Line Crosstalk Models
The following models approximate the forward crosstalk in stripline transmission lines.
Microstrip Crosstalk
PCB Microstrip Crosstalk Calculator
Microstrip Crosstalk Calculator
Choose Type
Microstrip Crosstalk Calculator
Inputs
Source Rise Time
Tr
ns
Source Voltage
V
Volts
Length of Parallel Routes
L
Substrate Height
H
Trace Spacing
S
Substrate Dielectric
Er
Outputs
Cross Talk Coeff:
Coupled Voltage:
Introduction
Crosstalk is unwanted coupled energy between traces. There are two types of cross talk forward and backward crosstalk cross talk coefficient as well as the coupled voltage, both can be useful in crosstalk analysis.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the forward crosstalk in microstrip transmission lines.
Coax
Coax Impedance Calculator
Coaxial Impedance Calculator
Choose Type
Coax Calculator
Inputs
Inner Conductor Diam.
D1
Inner Surface Shield Diam.
D2
Substrate Dielectric
Er
Outputs
Impedance (Z):
Delay:
Inductance per inch:
Capacitance per inch:
Introduction
Perhaps the most common type of transmission line is the coax. The coax is a very nice way to create a transmission line. Understanding coax can be helpful when working with it. The nice part about coax is that it can be bent and flexible unlike most pcb transmission lines.
Description
The basic coax cable is constructed with an inner trace and a shield separated by dielectric. The property of coax that is nice is the transverse electric magnetic (TEM) mode, which means that the magnetic and electric fields are perpendicular to the direction of the wave propagation. The characteristic impedance is primarily determined by the distance from the conductor to the shield as well as the dielectric constant of material separating them.
Microstrip Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Twisted Pair
Twisted Pair Cable Impedance Calculator
Twisted Pair Impedance Calculator
Choose Type
Twisted Pair Calculator
Inputs
Diameter of Wire
D
Seperation Between Wires
S
Substrate Dielectric
Er
Outputs
Impedance (Z):
Delay:
Inductance per inch:
Capacitance per inch:
Introduction
Two conductors can create a transmission line. To make an effect transmission line with two wires it is best to create a twisted pair. Often when working with wires it is easy to create large return path loops if one is not paying close attention. The twisted pair helps create a more uniform inductance and capacitance per unit length of wire to ensure a constant impedance, by keeping the return path as close to the signal as possible.
Description
The geometries of the twisted pair that we should pay close attention too are the distance between the two conductors (center to center) and the diameter of the conductive wire. The effective permittivity of the material between the two conductors will be somewhere between the permittivity of the insulation on the wires and the relative permittivity of air (1).
Characteristic Properties of the Twisted Pair
Characteristic Impedance The characteristic impedance of the twisted pair is the impedance a signal will see as it travels down the conductor.
Propagation Delay The propagation delay of the signal is the time it takes for the signal to travel a specific distance. This tool calculates the time delay in inches per nanosecond.
Inductance Per Unit Length The inductance of the signal is valuable to know. Especially when creating a model for the transmission line in a simulation tool. This tool calculates the inductance in nano-henrys per inch
Capacitance Per Unit Length The capacitance of the signal is often need when creating a model for the transmission line in a simulation tool. This tool calculates the capacitance in pico-farads per inch
Twisted Pair Transmission Line Models
Models have been created to approximate the characteristics of the microstrip transmission line.
Example Template With Sidebar
Tool Template
Choose Type
Tool Title
Inputs
Outputs
Javascript Code:
Place all your javascript code in the tools weblog entry at the bottom of the "tool_html" field. Javascript code can be in the html file or included via a standard js include link
[geshify]
[/geshify]
Event Driven Calculations:
Tool keyboard events are driven by the following bindings that work off of all fieldInput and fieldSelect classes. This will alleviate harcoding events into your tool's html.
[geshify lang="javascript"]
// Tool onkeyup and onchange events for updating output values
$(".fieldInput").keyup(function(event){
testMe();
});
$(".fieldSelect").change(function(event){
testMe();
});
[/geshify]
Trace Resistance
PCB Trace Resistance Calculator
EEWeb
Trace Resistance Calculator
Trace Resistance
Inputs
Trace Width
W
Trace Length
L
Trace Thickness
T
Temperature
Temp
Output
Resistance (R):
Introduction
The purpose of this calculator is to solve the resistance of a copper conductor based upon physical dimensions. The resistance of a trace can be useful in many ways. The power dissipation in a trace is calculated after one has determined the trace resistance. The trace resistance can also be helpful if a circuit requires precision resistors and the pcb traces cab effect the resistance value.
| 677.169 | 1 |
This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical... more...
This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9th-17th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus? Arithmetica. more...
Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is a suitable topic to lead college students and talented high school students to a better appreciation of the power of mathematical technique. more...
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and Understanding Mathematics: A Quantitative Reasoning Approach
Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics ...Show synopsisMost students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they'll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of mathThe book itself is clearly written and suitable for self study.
No quadratics, though............ :(
But the book itself was in much poorer condition than I had expected. It was nearly completely separated from its bindiong.
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I am not a math major yet I was challenged by the content in this book. It did not create the impulse to turn tail and head for the hills. Its simple, straightforward language, clear examples, and helpful real-world context provide an excellent rationale as to why one should embrace the comprehensive ...
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This book covers a lot of ground but does it very well. The content covers real-world situations: finances, currency conversion, power usage, statistics, and more. The writing is very clear, and there are little overview sections that help refresh old math skills and explain advanced calculator functions
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Full Search
I'm not a professional bowler nor a professional bowling coach, and I suggest that if any of you have the time and the money you should take advantage of one of the many excellent clinics that are available today. However, me not being a pro is the very reason I think this book will work for many average league bowlers like myself.
This book is for you if you would like to be involved in your school-going kid's math education and need to get your own basics right, or if you decided to extend your education, may be involving some computer programming, or statistics and want to be up to speed in junior high school math before taking the next step. This is not on teaching techniques.
This eBook introduces the subject of handling data, considers both information and data, probability and chance as well as the various styles of tables, pictograms, graphs, charts along with the concept of average text explains in a simple way how to make a chart from a group of measurements (or data) resuting in a graphical picture of an average. Properties of this average will be discussed. Presented are twoexample groups of data we recorded about length of a group of persons and the number of stairs needed to arrive at a classroom in a complicated building.
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Calculus textbook is a college-level, introductory textbook that covers the fascinating subject of Calculus. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Building Blocks of Calculus -- Precalculus Review, Functions and Models, LimitsDerivatives and Integrals -- Derivatives, Applications of Differentiation, Integrals, Applications of IntegrationInverse Functions and Advanced Integration -- Inverse Functions: Exponential, Logarithmic, and Trigonometric Functions, Techniques of Integration, Further Applications of IntegrationDifferential Equations, Parametric Equations, and Sequences and Series -- Differential Equations, Parametric Equations and Polar Coordinates, Infinite Sequences and SeriesAdvanced Topics in Single-Variable Calculus and an Multivariable Calculus -- Vectors and the Geometry of Space, Vector Functions, Partial Derivatives, Multiple Integrals, Vector Calculus, Second-Order Linear Equations Statistics textbook is a college-level, introductory textbook that covers the fascinating subject of Statistics, a branch of mathematics often highly relevant to everyday situations. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:Statistics and Statistical Thinking – OverviewStatistics in Practice -- Observational Studies, Controlled ExperimentsVisualizing Data -- The Histogram, Graphing DataFrequency Distributions -- Frequency Distributions for Quantitative Data, Frequency Distributions for Qualitative DataDescribing, Exploring, and Comparing Data -- Central Tendancy, Measures of Relative Standing, The Law of Averages, Further Considerations for DataMeasures of Variation -- Describing VariabilitySampling -- Populations and Samples, Sample Surveys, Sampling Distributions, Errors in Sampling, Sampling ExamplesProbability -- What Are the Chances?, Probability Rules, More About ChanceProbability and Variability -- Discrete Random Variables, The Binomial Random Variable, Other Random VariablesContinuous Random Variables -- The Normal Curve, Normal Approximation for Data, Measurement Error, Expected Value and Standard Error, Normal Approximation for Probability HistogramsCorrelation and Regression -- Correlation, More About Correlation, Regression, The Regression Line, R.M.S. Error for Regression, Multiple RegressionEstimation and Hypothesis Testing -- Estimation, Confidence Intervals, Hypothesis Testing, Hypothesis Testing with Two Samples, Comparing More than Two Means, The F-Test, Analysis of Variance (Repeated Measures)Other Hypothesis Tests -- The T-Test, The Chi-Squared Test, Tests for Ranked Data, Nonparametric StatisticsA Closer Look at Tests of Significance -- Which Test?, A Closer Look at Tests of Significance Algebra I Second Edition is a clear presentation of algebra for the high school student. Volume 1 includes the first 6 chapters and covers the following topics: Equations and Functions, Real Numbers, Equations of Lines, Graphs of Equations and Functions, Writing Linear Equations, and Linear Inequalities 1 includes the first Basic Probability and Statistics – A Short Course is an introduction to theoretical probability and data organization. Students learn about events, conditions, random variables, and graphs and tables that allow them to manage data 2 includes the last Advanced Probability and Statistics-Second Edition is a clear presentation of the basic topics in statistics and probability, but finishes with the rigorous topics an advanced placement course requires. Volume 1 includes the first 6 chapters and covers the following topics: Analyzing Statistical Data, Visualizations of Data, Discrete Probability Distribution, Normal Distribution, and Experimentation.'
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978078796598 Teacher's Activities Kit is a unique resource that provides 150 ready-to-use algebra activities designed to help students in grades 6-12 master pre-algebra, Algebra I, and Algebra II. The book covers the skills typically included in an algebra curriculum. Developed to motivate and challenge students, many of the activities focus on real-life applications. Each of the book's ten sections contains teaching suggestions that provide teachers with strategies for implementing activities and are accompanied by helpful answer keys. The activities supply students with quick feedback, and many of the answers are self-correcting.
Each activity stands alone and can be applied in the manner that best fits your particular teaching program. Algebra Teacher's Activities Kit can be used as a supplement to your instructional program, to reinforce skills and concepts you've previously taught, for extra credit assignments, or to assist substitute teachers.
For quick access and easy use, the activities are printed in a big 8 1/2" x 11" lay-flat format for photocopying and are organized into ten sections.
GRAPHING LINEAR EQUATIONS AND INEQUALITIES is packed with 15 activities, including Graphing Points on the Coordinate Plane . . . Finding the Slope of a Line . . . Solving Systems of Equations by Graphing.
BASIC OPERATIONS WITH MONOMIALS AND POLYNOMIALS offers 12 activities, such as Using the Terms of Polynomials . . . Finding Powers of Monomials . . . Finding Cubes of Binomials.
FACTORS OF MONOMIALS AND POLYNOMIALS features 12 exercises, such as Finding the Missing Factor . . . Factoring Trinomials . . . Factoring the Sum and Difference of Cubes.
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Algebra - Wikipedia, the free encyclopedia
Algebra (from Arabic al-jebr meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such ...
Praveen used algebra to write 'Chandamamaa' screenplay Vancouver Desi "To allocate equal screen space for the lead characters, I used algebraic equations to distribute time. The biggest challenge was distributing equal time for all these actors and their respective stories," Praveen told IANS. "It was very important that ... and more »
Pinellas ninth-graders might get summer help with algebra Tbo.com While Summer Bridge is meant to help students who are falling behind grade level, the new Algebra Boot Camp specifically targets incoming ninth-graders who have not taken an Algebra 1 course. During the six-week course, students will learn the skills ...
Algebra Nation To Add Teacher Training T.H.E. Journal A "design and build" shop for education at the University of Florida just received a $250,000 grant to build a teacher network to go along with a new tool introduced in 2013 to help students with algebra. The Lastinger Center for Learning, which ... and more »
An algebra election The Maravi Post "I'm surprised none of you has not discussed the role of the Northern Region in these elections." Everyone become quite briefly. "The North, yes." "But we have only 1.1 million votes here." "Which is why the North will be a decider in these elections ...
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More than a hundred scientific societies, universities, research institutes, and organizations all over the world have banded...
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More than a hundred scientific societies, universities, research institutes, and organizations all over the world have banded together to dedicate 2013 as a special year for the Mathematics of Planet Earth.Our planet is the setting for dynamic processes of all sorts, including the geophysical processes in the mantle, the continents, and the oceans, the atmospheric processes that determine our weather and climates, the biological processes involving living species and their interactions, and the human processes of finance, agriculture, water, transportation, and energy. The challenges facing our planet and our civilization are multidisciplinary and multifaceted, and the mathematical sciences play a central role in the scientific effort to understand and to deal with these challenges.
We have deveoped and provide access to an extensive, interactive self-review library covering 26 lecture modules in general...
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We have deveoped and provide access to an extensive, interactive self-review library covering 26 lecture modules in general astronomy to give students instruction tailored to their rate of learning and mathematical abilities, with personal feedback, as they integrate new knowledge into their existing view of the universe. Students typically complete 1,600 problems over a semester, drawing from an archive of over 12,000 questions presenting both conceptual and mathematically-focused challenges.A companion instructor analysis tool for reviewing student work archives copies of each exercise completed by every student, including the details of incorrect answers, and reveals trends with topic and time for individuals and groups. Instructors are able to monitor individual and group progress, tracking every facet of student action and the global response to individual topics of study.Individual accounts are available by request to both students and to intructors and their classes of students.
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what is the different between TI-86 and TI-84 plus silver
i m taking plane trigonometry, and in the classes schedule book, it says that the TI-85/86 will be used, but i have a question that could i use the TI-84 plus silver for my class and what is the different between TI-86 and TI-84 plus silver ?
Replies to: what is the different between TI-86 and TI-84 plus silver
The TI-82 was the lesser of the two. It evolved into the TI-83, TI-83 Plus, and more recently the TI-84 series (plus, silver, etc).
The TI-85 was a more advanced calculator with more advanced functions. It was eventually replaced by the TI-86.
These have always been two seperate calculators. The TI-84 is essentially a TI-83 Plus in a new case with more RAM and a few new features. The TI-86 is a higher powered machine that will always do more than a TI-84 no matter how plus or silver you can get it.
So the answer to your question is...no. You want a TI-86 (or a used TI-85).
Plane trig sounds to me like it will need more than a TI-84 will provide, but don't take my word for that (I've never taken plane trig and probably never will).
maybe you should go ask your professor about that...
I personally think an TI-84 Silver works completely fine... I've taken AP Calculus with an TI-84 and it didn't slow me donw or anything.
but again, maybe the professor knows better or just look for an upper class student who have taken the same class you are currently taking...
Don't forget that textbooks sometimes are set up to one particular calculator. I used a TI-89 for stats and had to translate everything into terms for it since the book (Triola's text) was set up for a TI-83. (That text is one of my personal favorites, by the way).
| 677.169 | 1 |
For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's...An introduction to risk assessment that utilizes key theory and state-of-the-art applications With its balanced coverage of theory and applications along with standards and regulations, Risk Assessment: Theory, Methods, and Applications serves as a comprehensive introduction to the topic. The book serves as a practical guide to current risk analysis... more...
The fun and easy way to learn pre-calculus Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.... more...
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The Applied Mathematics assessment measures a person's
skill in using mathematics reasoning to solve work-related problems.
As a test taker, you will have to set up and solve problems like
those that actually occur in a workplace. Calculators are permitted.
A formula sheet will be provided.
The assessment contains 33 multiple choice questions at
five levels of complexity with Level 7 being the most complex.
Although Level 3 is the least complex, it still assesses a level
of mathematical skill well above no skill at all. The levels
build on each other by incorporating the skills assessed at the
preceding levels.
Regardless of the skill level, most of these problems will involve
one or more of the following applications.
Quantity: Employees often need to determine the number of items sold, produced, or purchased,
or to figure totals on a per unit basis.
Money: Working with monetary units is a central part of business and is tangential to virtually every job,
if in no other way than to understand a paycheck. Tasks involving monetary units include figuring sales, costs, wages and expenses.
Time: Some tasks involve figuring elaspsed time. Other problems are also frequently figured in terms of time
( e.g., production, sales, costs, distance, area). In many of these tasks, employees must be familiar with conversion of time units.
Measurement: Calculating distance, area, weight, and volume is crucial to most work situations. Again, employees must be familiar with conversions, as well as the appropriate degree of accuracy needed for different situations.
Proportions and Percentages: Proportions can be used in many tasks that require making predictions (e.g., if this is the amount for X units, how much is needed for Y units?). Percentages are used in the workplace to calculate commisions, dicounts, taxes, price increases, changes in sales, and wage changes.
Averages: Many records in the workplace are expressed in terms of averages (e.g., those involving sales records, wages, costs, hours worked). These averages become tools in the decision making processes of the business.
This level measures a person's skill in performing basic
mathematical operations (addition, subtraction, multiplication,
division) and conversions from one form to another using whole
numbers, fractions, decimals or percentages.
1. In your job as a cashier, a customer gives you a $20
bill to pay for a can of coffee that costs $3.84. How much change
should you give back?
A) $15.26
B) $16.16
C) $16.26
D)$16.84
E) $17.16
2. It took you 1 hour to unpack, price and shelve 3 boxes
of jeans at work. On the average, how many minutes did it take
to unpack, price and shelve 1 box of jeans?
A) 15
B) 20
C) 30
D) 40
E) 50
3. You work in a music shop and a customer wants to purchase
3 cassette tapes costing $8.99 each. Excluding any taxes, how much does the customer owe?
A) $27.00
B) $26.97
C) $26.98
D) $27.03
E) $27.99
4. A customer in the music shop where you work purchases 3 cassette tapes.
One costs $8.99, one costs $7.99, and one is on sale for $3.99. Excluding taxes, how much does the customer owe?
Calculate on your own. Check answer below.
5. Calculate the missing values so as to complete the chart.
UNIT
NO. OF UNITS
VALUE
TOTAL VALUE
crate of items
__?__
12 items per crate
36
purchased item
5
$__?__ per item
$6.25
distance (mile)
7
2 hrs per mile
__?__ hrs
6. You must keep track of inventory in an office supply warehouse. This week,
8 computers of a particular model have been shipped out of the warehouse to a local store, while
4 more computers of the same model have been received by the warehouse from the factory.
What is the overall change in the number of these computers in inventory this week?
A) down 8
B) up 4
C) down 4
D) up 8
E) down 12
7. Calculate the missing values so as to complete the chart.
FRACTION
DECIMAL
PERCENT
½
__?__
__?__
__?__
0.85
__?__
__?__
__?__
40%
Level
4
This level measures a person's skill in performing one
or two mathematical operations, such as addition, subtraction,
or multiplication, on several positive or negative numbers. Problems
may require adding commonly known fractions, decimals or percentages
or adding three fractions that share a common denominator. The
test taker is also required to calculate averages, simple ratios,
proportions, and rates, using whole numbers and decimals.
8. In the hospital where you work, one of your duties is to take pulse counts.
One patient has a pulse count of 21 beats in 15 seconds. At this rate, what should this
patient's pulse count be for 60 seconds?
A) 84
B) 315
C) 126
D) 42
E) 105
9. You use 3 gallons of concentrated cleaner to mix 10 gallons of usable
solution. How much concentrated cleaner should be used to make 30 gallons of usable solution?
10. On July 1, you opened a new checking account for your
lawn-care business. Based on the check register below, how much
is in the account on August 1?
Check #
Date
Memo
Check Amount
Deposit Amount
Balance
7/1
Deposit
$581.22
$
101
7/3
Rake yard
$52.81
$
102
7/5
Van Repair
$265.80
$
103
7/5
New Mower
$10.00
$
104
7/6
Gas
$27.91
$
7/31
Deposit
$330.67
$
A) $330.67
B) $356.52
C) $555.37
D) $581.22
E) $911.89
11. If it takes 2 yards of interfacing to make 4 suits, how many yards of interfacing should it take
to make 20 suits?
Calculate the result and check your answer below.
12. If you can print 800 copies of a letter in 16 minutes, how long should it take to print 2400 copies
of the same letter?
Calculate the result and check your answer below.
13. A customer purchased clothing totaling $54.00 from the clothing store you work for.
The state sales tax rate is 5%. How much tax should you charge the customer for this purchase?
Calculate the result and check your answer below.
14. During a routine inspection, a quality control officer found three defective parts out
of every 150 parts inspected. If 24 defective parts were found, how many parts were inspected?
A) 72
B) 450
C) 1200
D) 2200
E) 3600
15. Over the last five days, you made the following number of sales calls: 8, 7, 9, 5, and 7.
To help in planning staff time, you track the average number of calls you make each day. What was
your average over the last 5 days?
A) 4.1
B) 7.0
C) 7.2
D) 9.0
E) 36.0
16. The discount store where you work is selling a video game for 15% off the
regular price of $21.00. You have to change the price tags for the sale. How much
should you take off from the regular price?
A) $4.15
B) $1.50
C) $0.15
D) $3.15
E) $6.00
17. You need about 1½ hours to set up a computer workstation. At this rate,
how many hours should it take you to set up 7 of these workstations?
A) 4 2/3
B) 8½
C) 10
D) 10½
E) 11 2/3
Level
5
Questions at Level 5 require the test taker to look
up and calculate single-step conversions within the English or
non-English system of measurement (e.g. converting from ounces
to pounds or from centimeters to meters) or between systems of
measurement (e.g. centimeters to inches) Problems at this level
contain several steps of logic and calculations. The test taker
must determine what information, calculations, and unit conversions
are needed to find a solution.
18. Quik Call charges 18¢ per minute for long distance
calls. Econo Phone totals your phone usage each month and rounds
the number of minutes to the nearest 15 minutes. It then charges
$7.90 per hour of phone usage, dividing this into 15-minute segments
if you used less than a full hour. If your office makes 5 hours
3 minutes worth of calls this month using the company with the
lower price, how much will these calls cost?
A) $39.50
B) $41.48
C) $41.87
D) $54.00
E) $54.54
19. The drug store where you work marks up the price of
batteries by 35%. You must price some batteries that cost the
store $1.80 per package. What price should you put on each package?
A) $0.63
B) $2.15
C) $2.43
D) $2.77
E) $3.50
20. In your job at the kennel, you groom dogs. It takes
you 1 hour 15 minutes to groom an average sized dog. Large dogs,
however, take 1 hour 45 minutes to groom. Today you have to groom
3 average sized dogs and 2 large dogs. How much time should it
take you to groom all 5 dogs?
21. You are the new maintenance person for the local school and need to calculate how much
wax will be required for the cafeteria floor based on its square footage. The cafeteria is 120 feet by
45 feet. What is the square footage you should use to figure the amount of wax needed for the
cafeteria floor?
Calculate and check your result below.
22.You have been asked to ship a package that weighs 41 pounds;
however, the freight company wants to know the weight in kilograms.
What is the closest approximation of the package's weight in kilograms?
A) 18.64
B) 43.20
C) 82.00
D) 90.20
E) 100.00
23. You must set up tables for a wedding reception in the restaurant where you work.
There will be 24 individuals and 40 couples attending.
Each table seates 8 persons.
How many tables should you set up?
Calculate and check your result below.
24. The shoe store where you work is having a ¼ off sale.
A customer purchases a pair of shoes that regularly costs $48.50.
How much should you deduct from the regular price?
Calculate and check your result below.
25. As a teacher's aide, you must figure percentage scores on student tests.
If a student has 72 points out of 87 possible points, what percent of the total points possible did this student obtain?
Calculate and check your result below.
26. You work in the gift wrap section of a department store.
You can wrap 15 average-sized packages in 2 hours.
About how many of these packages should you be able to wrap in 5 hours?
Calculate and check your result below.
Level
6
Questions at Level 6 measure a person's skill in using
negative numbers, fractions, ratios, percentages, and mixed numbers
in calculations. The test taker may have to find the areas of
rectangles or circles and volumes of rectangular solids or to
solve problems that compare production rates and pricing schemes.
Questions may require considerable translation from verbal to
mathematical expression and require considerable setup with multiple
step calculations.
27. You are preparing to tile the floor of a rectangular
room that is 15½ feet by 18½ feet in size. The
tiles you plan to use are squares, measure 12 inches on each
side, and are sold in boxes that contain enough tiles to cover
25 square feet. How many boxes of tiles should you order to complete
the job?
A) 11
B) 12
C) 34
D) 59
E) 287
28. The production line where you work can assemble 5 amplifiers
every 30 minutes. At this rate, how long should it take the line
to assemble 125 amplifiers?
29. You must figure the amount of fabric necessary to make a drape for an office window.
The finished drape must be 7½ feet long and 5 feet wide.
The fabric is wide enough to allow for side hems, but you must determine the length needed.
You must allow 8 inches extra at the top and at the bottom to fold under for the hems.
How many linear yards of fabric should you need to make the drape?
Calculate and check your result below.
30. As a cosmetologist, you must schedule you own appointments,
so you need to know how long one haircut takes.
Today you gave 7 haircuts between 1:45 and 4:15 and had no breaks.
Approximately how long did it take you to give each haircut?
Calculate and check your answer below.
31. In the machine shop where you work, you are required to keep production records
on each part for each day. On Wednesday, 45 pieces of a particular part were machined in 3 hours.
On Thursday, 52 pieces of the same part were machined in 3.5 hours. On Friday, 112 pieces of the
same part were machined in 7 hours. On which day did the shop have the best production rate (the most
pieces machined per hour)?
Calculate and check your answer below.
Level
7
Questions at Level 7 require multiple steps of logic
and calculations. Questions may involve more than one unknown,
nonlinear functions and applications of basic statistical concepts.
At this level, question content or format may be unusual, and
the information presented may be incomplete or implicit, requiring
the test taker to derive the information needed to solve the
problem from the setup.
32. You operate a machine that stamps bottle caps out of
2-inch-by-2-inch aluminum squares. Occasionally, the machine
produces an unusable cap, a reject, that must be recycled. The
number of rejects made at different production rates is shown
below. Today you have been told to produce 600 caps per hour.
Approximately how many caps total should you have to produce
to end up with your quota of 2,400 good ones?
A) 2,400
B) 2,448
C) 2,500
D) 2,548
E) 2,616
33. In your job at a company that makes bowling balls,
you are doing a quick check of how much plastic resin has been
used this week by the machine that molds the balls. Each ball
is a sphere with a radius of 4 inches (the finger holes are drilled
out after the ball has been molded). Production records show
that 1,200 balls were made this week. Ignoring waste, about how
many cubic feet of resin were used in the machine this week?
A) 46
B) 186
C) 268
D) 2,233
E) 321,536
34. The farm where you just started working has a vertical
cylindrical oil tank that is 2.5 feet across on the inside. The
depth of the oil in the tank is 2 feet. If 1 cubic foot of space
holds 7.48 gallons, about how many gallons of oil are left in
the tank?
A) 37
B) 59
C) 73
D) 230
E) 294
35. Your job with the Department of Parks and Recreation requires you to plant
Ginkgo trees along the streets of your city. You have 500 of the trees that are ready for planting.
You are to plant the trees along the blocks as shown by the dashed lines on the map below.
The trees must be planed 30 feet apart. Each block is 3/8 mile long. How many
trees, if any, do you need to complete the job?
A) None; you have 236 extra trees
B) None; you have exactly enough
C) You need 20 more trees.
D) You need 908 more trees.
E) You need 15,340 more trees.
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This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic point-set topology. The first chapter provides a comprehensive overview of differentiable manifolds. The following two chapters are devoted to fiber bundles and homotopy theory of fibrations. Vector bundles have been emphasized, although principal bundles are also discussed in detail. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. Chapter 5, with its focus on the tangent bundle, also serves as a basic introduction to Riemannian geometry in the large. This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry.
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Advanced Mathematics for Theoretical Chemistry
"The interplay between mathematics
and physics needs no emphasis. What may need to be emphasized is that mathematics
is not merely a tool with which the presentation of physics is facilitated,
but the only medium in which physics can survive. Just as language is the
means by which humans can express their thoughts and without which they
lose there unique identity, mathematics is the only language through which
physics can express itself and without which it loses its identity. And
just as language is perfected due to its constant usage, mathematics develops
in the most dramatic way because of its usage in physics."
-from the preface
of Mathematical Physics: A modern introduction
to its foundation by Sadri Hassani
diagonalization.nb: Some
basic matrix manipulation
eulerangles.nb: Construction
of the Euler rotation matrix and visualiztion of its action on a vector
in three-space
mapping.nb: Maps lines from the
complex z-plane to the complex w-plane.
phasecolor.nb: Displays the
modulus of a function colored according to the phase of the function. Several
examples.
viewcomplex.nb: Displays the
real, imaginary, modulus and phase of a complex function. Sevaral examples.
showfourier.nb: Displays the
real and imaginary parts of both the original function and its Fourier
transform.
causal.nb: Superimposes the real
and imaginary parts of causal functions and their Fourier transforms.
chirp.nb: Investigates linearly
chirped pulses and their Fourier transforms.
doubleexp.nb: Illustrates the
complementary nature of time and frequency domain techniques for biexponential
decay.
2dnmr: Generates COSY free induction
decay signals and the corresponding COSY spectra.
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Alviso SAT endeavor to create a learning environment that meets the varied needs of students.Algebra 1 is the study of variables, equations, graphs, property of real numbers, writing and solving linear equations and functions, exponents and exponential functions, quadratic equations, polynomials, and conn
| 677.169 | 1 |
ALEX Lesson Plans
Title: Parent Functions and Their Children
Description:
InStandard(s):) Title: Parent Functions and Their Children Description: In
Title: Investigating Parabolas in Standard Form
Description:
Students AL2 (9-12) 17: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. [A-APR), or Technology Education (9 - 12) Title: Investigating Parabolas in Standard Form Description: Students
Title: I'm Lovin' It: Finding Areas Between Curves
Description:
Students
Subject: Mathematics (9 - 12) Title: I'm Lovin' It: Finding Areas Between Curves Description: Students
Title: We Are Family (Analyze Families of Functions)
Description:
Students 23: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. [A-CED4] [MA2013] ALT (9-12) 15: Understand that polynomials form a system analogous to the integers; namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. [A-APR1]
Subject: Mathematics (9 - 12) Title: We Are Family (Analyze Families of Functions) Description: Students
Title: "Woody Sine"
Description:
The studentsStandard(s): 37: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. [F-TF1] [MA2013] ALT (9-12) 38: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. [F-TF2] [MA2013] ALT (9-12) 40: Choose trigonometric functions [MA2013] PRE (9-12) 30: (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. [F-TF4]
Subject: Mathematics (9 - 12) Title: "Woody Sine" Description: The students
Title: Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Description:
After
Title: Exponential Growth and Decay
Description:
ThisStandard(s): [MA2013] AL1 (9-12) 7: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1] [MA2013] AL1 (9-12) 9: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.* [A-SSE 39: Observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. [F-LE3 ALC (9-12) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] ALT (9-12) 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE
Thinkfinity Lesson Plans
Title: What's the Function?
Description:
This
Standard(s): [MA2013] AL1 (9-12) 40: Interpret the parameters in a linear or exponential function in terms of a context. [F-LE5 Title: What's the Function? Description: This Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Title: Do You Hear What I Hear?
Description:
In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension.
Standard(s): [S1] (8) 12: Classify waves as mechanical or electromagnetic. [S1] PHS (9-12) 9: Compare methods of energy transfer by mechanical and electromagnetic waves. [S1] PHY (9-12) 6: Describe wave behavior in terms of reflection, refraction, diffraction, constructive and destructive wave interference, and the Doppler effect. 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [F-IF8] [MA2013] ALT (9-12) 32: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] [MA2013] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1 40: Choose trigonometric functions
Subject: Mathematics,Science Title: Do You Hear What I Hear?,Science Title: Sound Wave Description: This student interactive, from Illuminations, helps students understand the mathematical models used to represent sound. Students come to understand the origins of the terms pitch, tone, frequency, and intensity, as well as explore the dynamics of a sound wave. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
| 677.169 | 1 |
I really like pretty much all Dover's serie on Mathematics and this is one of the best books in the collection. It is concise and it might require a knowledge of basic Mathematics but it covers really important topics such as random variables, limit theorems and MCMC with enough details. The book is a revised translation of Y,A Rozanov's original book. I deeply suggest to anyone who want a good introduction on the topic of modern probability theory.
| 677.169 | 1 |
Beginning Pre-Calculus for Game Developers
9781598632910
ISBN:
1598632914
Edition: 1 Pub Date: 2006 Publisher: Course Technology
Summary: Beginning Pre-Calculus for Game Developers provides entertaining, hands-on explanations of topics central to calculus as related to game development. It explains the mathematics and programming involved in developing nine computer programming applications furnished with the book's CD-ROM. Begin by working your way through first semester calculus topics and then use your new math skills to create programs that apply e...ach topic. Beginning Pre-Calculus presents math topics in a method that is direct, easy-to-understand, and pertinent to all studies related to calculus math.
Flynt, John P. is the author of Beginning Pre-Calculus for Game Developers, published 2006 under ISBN 9781598632910 and 1598632914. Two hundred forty four Beginning Pre-Calculus for Game Developers textbooks are available for sale on ValoreBooks.com, one hundred four used from the cheapest price of $4.21, or buy new starting at $22
| 677.169 | 1 |
MATH20212 - Algebraic Structures 2
Requisites
Aims
The course unit aims to introduce the algebraic structures of rings and fields; describe the quotient structure and its connection with homomorphisms of rings; present important examples rings and develop some of their properties with particular emphasis on polynomial rings and factorisation in rings.
Brief Description
This course builds on Algebraic Structures 1, which is a prerequisite, and continues the strong emphasis on examples.
The algebraic structures of rings and fields will be introduced. The construction of quotient rings and the relationship with homomorphisms is one of the main themes. These ideas will be used to construct roots of polynomials in extension fields. Factorisation in polynomial rings and rings of integers of number fields will also be studied.
Learning Outcomes
On completion of this unit successful students will have:
practical knowledge of a range of iterative techniques for solving linear and nonlinear systems of equations, theoretical knowledge of their convergence properties, an appreciation of how small changes in the data affect the solutions and experience with key examples arising in the solution of differential equations;
practical knowledge of quadrature schemes and theoretical knowledge of their associated approximation properties.
Syllabus
1.Definitions and examples of rings (rings of numbers, rings of matrices, quaternions, rings of endomorphisms, group rings, rings of polynomials, subrings); [4 lectures]
2.Domains, fields and division rings; nilpotent and idempotent elements, products of rings; (many) examples; with students gaining familiarity with the ideas and examples through attempting exercises. [4]
3.Isomorphisms and homomorphisms (of rings): what is preserved and reflected; kernel of a homomorphism, ideals; principal ideals, operations on ideals. [4]
| 677.169 | 1 |
This website presents the news, events, and research of one of the UK and Ireland's leading astronomical research institutes, Armagh Observatory. Users can learn about the Observatory's many research projects in topics...
Provided by Iowa State University, the Partnerships to Advance Learning in Science: Java Simulations Web site contains several interactive science simulations. Visitors can explore advection, the energy budget,...
Syllabus, course notes, and various proofs, in PDF, PostScript and dvi format. The course assumes that students know about groups, rings, and vector spaces, and covers all the topics in algebra commonly used by analysts...
A shortened version of the notebook Polyhedra.ma from Illustrated Mathematics [Gloor/Amrhein/Maeder95]. Uniform polyhedra have regular faces and congruent vertices. Allowing for non-convex faces and vertex figures,...
A non-traditional Algebra text (high school and early college levels) placed on the Web by the Science Education Team at Los Alamos National Laboratory. Browse it on the Web or download a PDF version. Chapter headings...
| 677.169 | 1 |
Summary: Also available as a two-volume set, this text is intended to give students depth and perspective in their knowledge of the mathematics taught in elementary school. The author believes that some key elements in achieving this depth and perspective are for students to write clear, logical explanations, for students to enhance their intuition by working with examples and by looking for patterns and connections, and for students to use mathematics in a variety of applica...show moretions. The book is centered around "class activities," which are designed for students to work on in class in small groups. The class activities foster engagement, exploration and discussion of the material, rather than passive absorption. Many exercises and problems are included at the end of each chapter. Working on these exercises and problems and justifying their solutions carefully and clearly is crucial to achieving depth of understanding of the material. Both students and instructors should find this material fun, interesting, and rewarding. ...show less
The Concept of Measurement. Measurable Attributes. Converting From One Unit of Measurement to Another. The Moving and Combining Principles About Area. The Pythagorean Theorem. More Ways to Determine Areas. Areas of Triangles. Areas of Parallelograms. Areas of Circles and the Number Pi. How are Perimeter and Area Related? Principles for Determining Volumes. Volumes of Prisms, Cylinders, Pyramids, and Cones. Areas, Volumes, and Scaling.
4. Functions and Algebra.
Patterns, Sequences, Formulas, and Equations. Functions.
5. Statistics.
Designing Investigations and Gathering Data. Displaying Data. The Center of Data: Average and Median. The Spread of Data: Percentiles, Range.
6. Probability.
Some Basic Principles of Probability. Fraction Multiplication and Probability.
Appendix A: Cutouts for Exercises and Problems.
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2002 Other Good
| 677.169 | 1 |
Chantilly ACT MathThis means that they have to master a new level of abstraction in math. This can be challenging and take time, but it's worth it. They'll use algebra in every future math class and throughout their lives, so it's important to build a strong foundation in this class
| 677.169 | 1 |
Product Information
Product Reviews
BJU Geometry Teacher's Guide Grade 10, Third Edition
4
5
1
1
If you are looking for a Geometry Text that has many examples and ways to teach the principles this is the book. The down side is that there are many ways to teach the principles and it is hard to decide which way to teach the lesson. The key is to know the student(s).
November 2, 2008
| 677.169 | 1 |
More About
This Textbook
Overview
Ooten Back Cover Copy
With over 50 combined years teaching basic math through calculus as well as consulting with math anxious students, Cheryl Ooten and Kathy Moore offer a wealth of creative ideas for all math students to overcome negative perceptions about math and develop the needed math study skills for success.
Managing the Mean Math Blues teaches students how to develop their own power to produce the desired proficiency in math. Students turn failure into success as they uncover secrets of successful math students and practice these new techniques with universal basic math concepts.
The second edition offers:
--Stronger and more math study skills content
--Added chapter to practice new skills on algebra
--Increased focus on the powerful "flow with math" technique
--The best strategies for overcoming math anxiety
--Teacher Resource Booklet
Watch students flourish as they put these cutting-edge techniques into practice and achieve a new level of confidence in the math abilities in the classroom."
"It's a great book! I hope math. faculty will take advantage of having a book available that combines the cognitive and affective combined approaches to teaching math."
Joan TottenFerris State University
"This is the book that I wish I had 35 years ago when I first started teaching math. The book neatly packages ideas, strategies, and tools in a way that readers understand, accept, and apply to learning math and any other challenging topic….Managing the Mean Math Blues, 2e is first book to clearly incorporate psychology, cognitive behavioral therapy, neuroplascity, visualization, relaxation, study skills, into a book that addresses and offers tools and strategies to overcome math anxiety."
Justine Wong
"The content is sound, the tone of the book is very supportive, and there is just enough content but not too much."
Related Subjects
Meet the Author
Cheryl Ooten , Mathematics Professor Emeritus, Santa Ana College, has taught all levels of mathematics from basic math through calculus counseling math anxious students for over 30 years. A licensed psychotherapist, Cheryl is currently a Ph.D. student at Claremont Graduate University pursuing her continuing interest in student success and math education.
Kathy Moore, Mathematics Professor, Santiago Canyon College, enjoys sharing her love of mathematics with the math anxious student. Outside of teaching people mathematics, she trains and shows her five dogs in obedience competitions around the country. Kathy lives in Norco, California with her husband and the canine pack
| 677.169 | 1 |
crete Mathematics: A Foundation for Computer Science
This book, updated and improved, introduces the mathematics that support advanced computer programming and the analysis of algorithms. The book's ...Show synopsisThis book, updated and improved, introduces the mathematics that support advanced computer programming and the analysis of algorithms. The book's primary aim is to provide a solid and relevant base of mathematical skills. It is an indispensable text and reference for computer scientists and serious programmers in virtually every discipline201558025 WE HAVE NUMEROUS COPIES. HARDCOVER....Very Good. 0201558025 WE HAVE NUMEROUS COPIES. HARDCOVER. Library book in new condition. Light shelf wear to cover, edges, and corners. School barcode on/in book. Library sticker on binding and library stamps inside book as well as on outside edge of pages. Checkout sleeve inside front cover. Pages appear free of markings/writing.
Reviews of Concrete Mathematics: A Foundation for Computer Science
I am trying to catch up on lost ground on computer programming. For me there were some concepts in my knowledge of maths which fell into two categories. Either I did not know or had forgotten. This book has easily filled both of these gaps. The text is fun to read and takes the strain out of the ...
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This book should be read by everyone who's serious about computers. It will give you the necessary background to work on optimization software, cryptographic algorithms, analysis of algorithms and several other subjects that are far beyond just "writing programs".
It is not an easy book, however. You
| 677.169 | 1 |
More About
This Textbook
Overview
The content and character of mathematics needed in applications are changing rapidly. Introduces students of engineering, physics, mathematics and computer science to those areas that are vital to address practical problems. The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability; problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra sections; added and improved examples 2001
Good as a reference but not as a learning tool
I used this book for a second year engineering course in differential equations. I found this book extremely difficult to use due to the lack of plain english examples and explanations. It is chock full of information though, it's good as a reference. The majority of my class felt the same way about this book.
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2-1 Using Inductive Reasoning to Make ConjecturesInductive Reasoning Conjecture Exercise A Find the next item in each pattern, or make a conjecture. 1 ...
pages: 2 size: 56.00 KB
What are Reasoning/Aptitude Tests?Reasoning tests or aptitude tests as they are also called are tests designed to test the test takers abilities in certai ...
pages: 20 size: 489.00 KB
Title: Nutrition, Exercise, and Mathematics Brief Overview: Students will use algebraic formulas to gain an understanding of how the body stores and uses ene ...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the most powerful and influential branch of all Mathematics. Its influence is strongly felt in almost all scientific and artistic disciplines (in Music, in particular) and in Mathematics itself. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears. Given a non-empty set, a binary operation is defined on it such that certain axioms hold, that is, it possesses a structure (the group structure). The concept of structure, and the concepts related to structure such as isomorphism, play a decisive role in modern Mathematics.The general theory of structures is a powerful tool. Whenever someone proves that his objects of study satisfy the axioms of a certain structure, he immediately obtains all the valid results of the theory for his objects. There is no need to prove each one of the results in particular. Indeed, it can be said that the structures allow the classification of the different branches of Mathematics (or even the different objects in Music (! )).The present text is based on the book in Spanish "Teoría de Grupos: un primer curso" by Emilio Lluis-Puebla, published by the Sociedad Matemática Mexicana This new text contains the material that corresponds to a course on the subject that is offered in the Mathematics Department of the Facultad de Ciencias of the Universidad Nacional Autónoma de México plus optional introductory material for a basic course on Mathematical Music Theory.This text follows the approach of other texts by Emilio Lluis-Puebla on Linear Algebra and Homological Algebra. A modern presentation is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, among other disciplines, is introduced.This work consists of four chapters. Each section contains a series of problems that can be solved with creativity by using the content that is presented there; these problems form a fundamental part of the text. They also are designed with the objective of reinforcing students' mathematical writing. Throughout the first three chapters, representative examples (that are not numbered) of applications of Group Theory to Mathematical Music Theory are included for students who already have some knowledge of Music Theory.In chapter 4, elaborated by Mariana Montiel, the application of Group Theory to Music Theory is presented in detail. Some basic aspects of Mathematical Music Theory are explained and, in the process, some essential elements of both areas are given to readers with different backgrounds. For this reason, the examples follow from some of the outstanding theoretical aspects of the previous chapters; the musical terms are introduced as they are needed so that a reader without musical background can understand the essence of how Group Theory is used to explain certain pre-established musical relations. On the other hand, for the reader with knowledge of Music Theory only, this chapter provides concrete elements, as well as motivation, to begin to understand Group Theory.'
In four voices fugues there are 24 possible combinations in the order of voice entries in the exposition. This system of...
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In four voices fugues there are 24 possible combinations in the order of voice entries in the exposition. This system of classification according to the order of voice entries in the expositions summarizes all possible combinations using a few simple circles.
An interactive music theory quiz that helps students improve their ability to identify errors in pitch or time. A piece of...
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An interactive music theory quiz that helps students improve their ability to identify errors in pitch or time. A piece of music is displayed and students must press the play button to hear the correct way it is played. They must select the measure number in which the written error occurs. A 'Show Answer' button can help themWe have created a computer program that simulates a vibrating string, and allows the user to perform experiments similar to...
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We have created a computer program that simulates a vibrating string, and allows the user to perform experiments similar to those performed with an actual vibrating string apparatus used in physics lab experiments. Our simulation is unique in several respects: it produces the sound due to the vibrating string, it has a high-quality 3d display, it runs on multiple platforms (Linux, MacOS, and Windows), and it computes and displays the frequency spectrum of the sound. It allows for interactive control of the string parameters, which can be set to mimic the conditions seen by students in the real-world lab experimentThe Music Animation Machine provides visual reference for musical lines, from very simple to complex. The developer of this...
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The Music Animation Machine provides visual reference for musical lines, from very simple to complex. The developer of this system states that the program was developed from his own personal interest in being able to visualize multiple musical lines at one time, hearing and seeing together the progression of musical material. There are many offerings on this YouTube channel, and one can see the development of the program as well, as visualizations have become more granular. Some include bar lines, some show impingment of notes, and decay of sound. Colors indicate individual voices within multiple lines, and the viewer/listener is able to practice following one line, move out to view the overall musical fabric and to gain skill in micro and macro viewing/listening. I use these visualization videos in Introduction to Music, and find students fascinated by the visual display. I have also shared many of these with my professional musician colleagues who are equally fascinated.Selections include a wide range of musical repertory from piano solo, chamber, and orchestral literature.For an interesting YouTube video from the author of these many musical visualizations, that outlines his development of this musical tool, see:
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More About
This Textbook
Overview
Following a unique approach, this innovative book integrates the learning of numerical methods with practicing computer programming and using software tools in applications. It covers the fundamentals while emphasizing the most essential methods throughout the pages. Readers are also given the opportunity to enhance their programming skills using MATLAB to implement algorithms. They'll discover how to use this tool to solve problems in science and engineering.
Related Subjects
Meet the Author
Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gilat's main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat's research has been supported by the National Science Foundation, NASA, Department of Energy, Department of Defense, and various industries.
Vish Subramaniam, Ph.D., is Professor of Mechanical Engineering & Chemical Physics at The Ohio State University. Dr. Subramaniam's main research interests are in plasma and laser physics and processes, particularly those that involve non-equilibrium phenomena. Dr. Subramaniam's research is both experimental and computational, and has been supported by the Department of Defense, National Science Foundation, and numerous
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This algebra lesson from Illuminations involves slope as a rate of change. Distance-time graphs for three bicyclists climbing a mountain are compared and contrasted. The material will help students understand how to...
This algebra lesson helps students connect how logarithms work to the real world example of financing a car. Students will use a formula to calculate the number of months it will take them to pay off a car loan based on...
How financial institutions use the monthly mortgage payment and mortgage amortization formulas can be a confusing concept to grasp. This lesson asks students to find a current interest mortgage rate for their city and...
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The Calculus 2 Advanced Tutor: Learning By Example DVD Series teaches students through step-by-step example problems that progressively become more difficult. This DVD covers L'Hospital's Rule in Calculus, including what L'Hospital's Rule is, how it is used to take derivatives, and why it is a central topic in Calculus. Grades 9-12. 70 minutes on DVD.
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Quick Reference Guide: Table of Standards and Expectations
Product Details
Stock #
12493
ISBN #
Published
1/1/2002
Pages
Folded to 9" x 11"
Grades
_Pre-K-2, Grades 3-5, Grades 6-8, Grades 9-12,
See What's Inside
Product Description
This easy-to-use format presents the goals and expectations for the six Principles and ten Standards. Produced from the Table of Standards and Expectations of the appendix of the Principles and Standards, this practical guide includes three 11" x 17" sheets to display the expectations across the four grade bands for each of the five Content Standards: Number and Operations, Algebra, Geometry, Data Analysis and Probability, and Measurement. Allowing readers to see how the same mathematical idea grows and develops from one grade band to the next, this document also summarizes the Principles and Process Standards. The guide can be used as a checklist or tool for teachers or administrators, a resource for professional development workshops, or as supplementary material for college methods courses.
This CD contains a variety of presentations, handouts, and video clips
designed to enable you to speak to teachers, parents, administrators, and the
wider community about the messages of Principles and Standards.
This CD contains a variety of presentations, handouts, and video clips
designed to enable you to speak to teachers, parents, administrators, and the
wider community about the messages of Principles and Standards.
This book examines the study of geometry in the middle grades as a pivotal point in the mathematical learning of students and emphasizes the geometric thinking that can develop in grades 6–8 as a result of hands-on exploration.
This book focuses on algebra as a language of process, expands the notion
of variable, develops ideas about the representation of functions, and extends
students' understanding of algebraic equivalence and change.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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Find a Pearland Statistics also study linear, quadratic, exponential, and inverse functions. Methods for graphing, analyzing, and solving systems of equations and inequalities can also be covered. As needed, we can reinforce pre-algebra concepts such as negative numbers, fractions, and calculator and computational skills
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Mathematical Excursions - 3rd edition
Summary: MATHEMATICAL EXCURSIONS, Third Edition, teaches students that mathematics is a system of knowing and understanding our surroundings. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a math...show moreematical form. Students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world. We hope you enjoy the journey1111578494 Instructors edition! Item has some cover wear but otherwise in good condition!!Used texts may not include supplemental matieral. All day low prices, buy from us sell to us we do it all!!
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Oakwood_EMB Kernersville, NC
2012 Hardcover Good Covers show moderate wear. Pages show little or no marking/ highlighting. THIS ITEM IS OVERSIZED. PLEASE, NO INTERNATIONAL ORDERS.
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2012 Hardcover Good BOOK ONLY-no supplemental materials included. Covers show moderate wear. Pages show some marking/ highlighting. THIS ITEM IS OVERSIZED. PLEASE, NO INTERNATIONAL ORDERS.52.45 +$3.99 s/h
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Magus Books WA Seattle, WA
2012 Hardcover Very Good 1111578494. THIS ITEM IS LARGE/HEAVY AND MAY REQUIRE EXTRA SHIPPING FOR INTERNATIONAL OR EXPEDITED DELIVERY; used hardcover with no dust jacket. light shelfwear; corners/edg...show morees are lightly bumped and rubbed. binding and pages remain straight and solid. no marks to text. boards and page edges are lightly scuffed but clean.; 10.90 X 8.50 X 1.40 inches; 1008 pages. ...show less
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Has minor wear and/or markings. SKU:9781111578497-3-0
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High School Pre-Calculus Tutor
9780878919109
ISBN:
0878919104
Publisher: Research & Education Assn
Summary: Algebra * Biology * Chemistry * Earth Science Geometry * Physics * Pre-Algebra * Pre-Calculus * Probability Trigonometry * Math Skills for SAT * Verbal Skills for SAT "With the Tutor Books, it's Easy to learn difficult subjects." The best help in preparing for homework and exams Includes every type of problem that may be assigned by your teacher or given on a test Guides you by working out problems in step-by-step de...tail Each "Tutor" helps you understand the subject fully, no matter which textbook you use.
Fogiel, M. is the author of High School Pre-Calculus Tutor, published under ISBN 9780878919109 and 0878919104. Two hundred sixteen High School Pre-Calculus Tutor textbooks are available for sale on ValoreBooks.com, one hundred eight used from the cheapest price of $0.01, or buy new starting at $12.46
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'Chemistry Maths 1 teaches Maths from a "chemical" perspective and is the first of a three part series of texts taken during...
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'Chemistry Maths 1 teaches Maths from a "chemical" perspective and is the first
PC-based software and interactive tutorial to learn how to write mathematical proofs. Makes use of innovative proof-checking...
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PC-based software and interactive tutorial to learn how to write mathematical proofs. Makes use of innovative proof-checking technology to provide instant feedback to students/users. Free, full-version download available at website.
'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum...
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'Mathematical Reasoning: Writing and Proof is designed to be a text for the first course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:To help students learn how to read and understand mathematical definitions and proofs;To help students learn how to construct mathematical proofs;To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; andTo provide students with material that will be needed for their further study of mathematics.'
Assists teachers in understanding and interpreting the properties of numbers and provides a background to the numerous proofs...
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Assists teachers in understanding and interpreting the properties of numbers and provides a background to the numerous proofs and solutions to various mathematical equations. Material is crucial for the teaching of secondary school mathamatics.Compulsory Readings for Mathematics II: Number Theory (PDF)
3 KS3 and KS4 mathematic lesson plans covering the following topics:KS3 - MEAN, MEDIAN, AND MODAL AVERAGES - Learners will be...
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3 KS3 and KS4 mathematic lesson plans covering the following topics:KS3 - MEAN, MEDIAN, AND MODAL AVERAGES - Learners will be able to recognise the difference between different types of average, i.e. mean, median, and mode, and know how to calculate each variant accurately. They will be able to understand the statistical implications of the different types of average, and assess their usefulness/appropriateness in different situations.KS3 - PERCENTAGES - Learners will be able to calculate percentage decreases and increases.KS4 - AREA, PERIMETER AND VOLUME - Learners will be able to estimate/calculate the Area and Perimeter of 2D shapes and Volume of 3D shapes.Each 1 hour with a range of activities and national cirriculum level descriptors.
This power point presentation, in kiosk mode, allows the user to explore rows, columns, and cells of a 4x4...
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This power point presentation, in kiosk mode, allows the user to explore rows, columns, and cells of a 4x4 matrix. Images, speech, and text guide users through the presentation and concludes with a short 5 question independent assessment. Learners are provided feedback as the questions increase in difficulty.
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Preface.- Introduction and Historical Remarks.- Basic Number Theory.- The Infinitude of Primes.- The Density of Primes.- Primality Testing: An Overview.- Primes and Algebraic Number Theory.- Exercises.- Bibliography and Cited References.- Index.
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The MathWorks interactive, video-based MATLAB? tutorial gets students up to speed in using MATLAB for homework and course projects.
MATLAB On-Ramp Tutorial (30 minutes)
Learn the basics of MATLAB in the context of using it as a powerful graphical calculator.
Tutorial 1 - Navigating the MATLAB Desktop (6:10)
Tutorial 2 - Using MATLAB as a Graphical Calculator (22:55)
This course reviews the basics of MATLAB and additional advanced topics: object-oriented programming, Handle graphics and GUIs, and MATLAB/C interface (MEX functions). It also covers basics of Simulink. Material created by Prof. Andrew Packard.
This site contains a number of different MATLAB tutorials collected from universities across the United States. These tutorials are intended for the new MATLAB user and provide a quick introduction to programming in MATLAB.
This course uses MATLAB to introduce the elements of procedural and object-oriented programming. Topics include: MATLAB functions, relational operators and control flow, recursion, debugging, data structures, object-oriented programming, and use of Handle graphics. The course also covers basic numerical analysis and numerical methods for calculus, with examples drawn from science and engineering. Material created by Prof. Andrew Packard.
The objective of this tutorial is to provide the basics of using MATLAB. Topics covered include math functions, plot curves, optimizations, manipulation of vectors and matrices, linear systems, data analysis, loops and conditions, and logical operators. Examples using real world applications, such as the deformation of a system of springs, are provided.
Material created by Professor Marc Buffat.
This course material is in French.
The goal of the tutorials here is to provide a simple overview and introduction to matlab. The tutorials are broken up into some of the basic topics. The first includes a few examples of how Matlab makes it easy to create and manipulate vectors. Submitted: Sep 03, 2008
A group of 6 MATLAB tutorials which cover, in addition to the basics of MATLAB, using MATLAB in linear algebra, numerical linear algebra, numerical analysis with MATLAB, and linear programming with MATLAB.
Material created by Edward Neuman.
Purdue University teaches a MATLAB based introductory computing class, ENGR 106: Engineering Problem Solving and Computer Tools, to more than 1,600 first year students in order to help them develop a logical problem solving process for fundamental engineering problems. Students are introduced to the problem solving method in the lecture component of the course, while in lab they practice using MATLAB syntax by solving simple problems. Homework and projects allow students to use MATLAB to solve more complex, open-ended problems. The flexibility of the software allows professors to create interesting, authentic engineering problems. By using MATLAB, students can focus on problem solving rather than coding, a skill that proves useful in upper-level classes and industry.
Georgia Tech has developed a practical introductory course to computer science for engineers (CS1371-Computing for Engineers) which uses the MATLAB programming language. Over 1,000 students take this class per semester as it is a requirement for all engineering students and a prerequisite for many upper-level courses. The course covers three broad topics: basic procedural programming, writing applications, and dynamic data structures. MATLAB provides an ideal environment for engineering computation because it allows students to focus on the big picture rather than wasting time writing low-level functions. Using MATLAB allows the course to combine computer science theory and concepts with problem solving in engineering.
This is a brief tutorial that focuses on basic computer science principles. Topics covered include debugging programs and optimization. Executable files in MATLAB are included.
Material created by Michel Bercovier and Olivier Ricou.
This material is in French.
Northeastern University's computer-based discovery lab, which teaches computer programming and engineering concepts to freshmen by providing hands-on experience with test and measurement instrumentation, uses MATLAB as its programming environment. Using MATLAB as the programming language allows professors to introduce programming and engineering concepts in simple, observable, and sequential steps. MATLAB and various MathWorks toolboxes allow students to use a single, efficient software tool to control their instruments and analyze their data.
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Graham, WA GeometryThe use of numbers and symbols, which may be frightening to students, has already begun in the use of numerals, for example, 1, 2, 3, etc., in arithmetic. Algebra uses additional symbols, which can easily learned by using the basic rules of arithmetic, such as addition, subtraction, multiplication, and division. Algebra has these same rules and also others to be learned.
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Web Resources
Lesson Plans
Title: Growth Rate (Slope)
Description:Standard(s): 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]
Growth Rate (Slope)
Title: Pedal Power
Description:
In this lesson, students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain (8) 15: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. [8-F5] [MA2013] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]
Pedal Power
In this lesson, students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain.
Podcasts
Title: Math in Video Games
Description:
The teams use algebra to save their spaceship in the Asteroids game 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8-SP3] [MA2013] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]
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Mathematics With Infotrac A Good Beginning
9780534529055
ISBN:
0534529054
Publisher: Thomson Learning
Summary: More than just a textbook, this is a complete instructional program that serves a multitude of curriculum needs. This edition is solidly grounded in the latest research on how children learn mathematics and how teachers develop attitudes, beliefs, and knowledge that promote successful teaching.
Troutman, Andria P. is the author of Mathematics With Infotrac A Good Beginning, published under ISBN 9780534529055... and 0534529054. Twenty two Mathematics With Infotrac A Good Beginning textbooks are available for sale on ValoreBooks.com, twenty one used from the cheapest price of $5.35, or buy new starting at $114.51.[read more]
Missing components. May include moderately worn cover, writing, markings or slight discoloration. SKU:9780534529055-4-1-3 Orders ship the same or next business day. Expedited [more]
Missing components. May include moderately worn cover, writing, markings or slight discoloration. SKU:9780534529055 Hassle free 14 day return policy. Contact Customer Service for questions.[less]
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978007066 With Applications
This text is designed for the one-term calculus course taken by students in business, economics, management and the social, biological and environmental sciences. Some knowledge of intermediate algebra is assumed. In courses where college algebra is the prerequisite, much of Chapter One may be omitted. For students that need additional work in algebra, an algebra review is provided in Appendix A. Since the students this book addresses aspire to become users of mathematics rather than makers of mathematics, this text includes few mathematical proofs. The author introduces a deducible statement through a concrete situation that either illustrates the statement or involves steps that parallel those in a general proof. The focus is on problem-solving and the author includes exercise sets so that the student can practise these skills. Exercise sets include problems that ask the student to discuss, write, explore and use technology. Many sections include graphing calculator problems and a few of these sections contain subsections that serve as a basis for the problems. These problems are clearly identified with an icon. In addition, this book integrates nine BASIC computer language programs. The sections where these programs appear also include problems that take advantage of the computer
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Calculus And Its Applications - 2nd edition
Summary: Building on the proven success of its previous edition, Calculus and Its Applications, Second Edition helps students across the curriculum discover the excitement and relevance of applied calculus. Retaining his integrated problem-solving approach, the author engages students in the learning process by carefully discussing key questions, determining equations, and demonstrating the relation between the final solution and the original problem.
6.1. Antidifferentiation 6.2. Some Applications of Antidifferentiation 6.3 The Definite Integral as the Area Under a Curve 6.4 The Fundamental Theorem of Calculus 6.5 Some Applications of the Definite Integral 6.6. Surplus 6.7. Area in the PlaneWonder Book Frederick, MD
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bargainforce Naperville, IL
0395776848 New. Looks like an interesting title!
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Books Revisited Chatham, NJ
Brand New Item.
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9781568812 by Experiment: Plausible Reasoning in the 21st Century
This new approach to mathematics---the utilization of advanced computing technology in mathematical research---is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments---analyzing examples, testing out new ideas, or searching for patterns. This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended
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Students will learn about function definition and proper notation, domain and range, continuity, increasing and decreasing, boundedness,local and absolute extrema,symmetry, asymptotes, and end behavior. There is a SmartBoard Lesson, a Foldable, and all answer keys included.
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Statistics for Non-Mathematicians We intoduce statistics to the complete beginner. Topics will include: measures of central tendency, dispersion and numerous continous and discrete probability distributions.
Introduction to Topology We will study the basic theory and the topological properties of the Möbius bands, the torus and the Klein bottles to explain why a topologist cannot distinguish between a doughnut and a tea cup.
Learning to Program in C An introductory course on programming with an emphasis on general programming and algorithm design, using the popular C language.
You Can Count on It - Maths in Finance In this brief course we shall look at how mathematics contributes to finance and business. Our course is suitable for people with previous experience of mathematics at the sixth-form level and aims to provide an elementary introduction to the mathematics.
Alternatively you can perform a keyword search on all our courses using the 'Find courses' box on this page.
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Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing "secrets."... more...
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities.... more...
Just about everyone takes a geometry class at one time or another. And while some people quickly grasp the concepts, most find geometry challenging. Covering everything one would expect to encounter in a high school or college course, Idiot's Guides: Geometry covers everything a student would need to know. This all-new book will integrate workbook-like... more...
This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational... more...
Presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities. This book contains a treatment of equisingular deformations of plane curve singularities including a proof for the smoothness of the mu-constant stratum which is based on deformations of the parameterization. more...
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DJVUThis book follows the successful Mathematical Activities by the same author and has been written to provide teachers with further ideas to enrich their teaching of mathematics. It contains 127 investigations, puzzles, games and practical activities together with a commentary which provides solutions and additional ideas. These activities are suitable for use with children from age nine upwards to stimulate their interest and encourage mathematical thinking. ...
This book is a collection of 375 completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book consisting of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-memoire, especially for teachers and researchers on these topics. The book includes 50 figures. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.
This popular First Certificate course has been updated to prepare students for the new examination syllabus introduced from December 2008. A clear organisation and fresh approach have already made it a popular route to success at FCE in many countries: thirty short units provide thorough training in exam skills, solid language development, and lively class discussion. The course is written by experienced authors who have an in-depth knowledge of the FCE exam, and understand the needs of both students and teachers alike.
A complete preparation course for IELTS offers topic development to encourage students to think critically. A Language for Writing syllabus covers grammar and vocabulary. Help Yourself pages with activities to support self-study are provided.
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The TI-86 can be thought of as the tier among various Texas Instruments calculators directly above the TI-83 and TI-84 line. In addition to having a larger screen than the TI-83, the TI-86 also allows the user to type in lower case and Greek letters and features five softkeys, which improve menu navigation and can be programmed by the user for quick access to common operations such as decimal-to-fraction conversion. The calculator also handles vectors, matrices and complex numbers better than the TI-83. One drawback, however, is that the statistics package on the TI-83 range doesn't come preloaded on the TI-86. However, it can be downloaded from the Texas Instruments program archive and installed on the calculator using the link cable.[1]
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ISBN: 0387963685 / ISBN-13: 9780387963686
An Outline of Set Theory
An innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to ...Show synopsisAn innovative introduction to set theory, this volume is for undergraduate courses in which students work in groups and present their solutions to the class. Complete solutions. 1986 edition.Hide synopsis
...Show more groups of students each week. With all the necessary assistance from the instructor, the groups complete their projects, carefully write a short paper for their classmates, and then, in the single weekly class meeting, lecture on their results. While the em- phasis is on the student, the instructor is available at every stage to assure success in the research, to explain and critique mathematical prose, and to coach the groups in clear mathematical presentation. The subject matter of set theory is peculiarly appropriate to this style of course. For much of the book the objects of study are familiar and while the theorems are significant and often deep, it is the methods and ideas that are most important. The necessity of rea- soning about numbers and sets forces students to come to grips with the nature of proof, logic, and mathematics. In their research they experience the same dilemmas and uncertainties that faced the pio- neers An Outline of Set Theory (Problem Books in Mathematics)...Good. An Outline of Set Theory (Problem Books in
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Modules Explore Real-Life Calculus
04/01/96
Calculus Connections explores mathematical theory and its applications in the world around us through richly produced video, sound and interactive simulations. Each volume consists of eight multimedia modules and a corresponding workbook. Modules begin by presenting a real-life application of a calculus concept -- a plane taking off, a bridge collapsing, a skydiver jumping, etc. Students discover how changing variables or conditions will affect the model and consequently the physical application. Predefined routes through the material take approximately 45 minutes to complete. One can also plot, manipulate and save 2D or 3D graphs, or obtain additional information through online references. John Wiley & Sons, New York, NY, (800) 225-5945,
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ABC de Matlab y Simulink para Ciencias Aplicadas e Ingeniería
Written for introductory science courses, this book is intended for use as a supplementary guide for using mathematical calculations and graphical displays in a variety of uses.The book shows how MATLAB and Simulink can be used to provide rapid generation of mathematical calculations and graphs. Topics covered include operations with matrices, boolean analysis with arrays, complex numbers, and polynomials.
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Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed.
Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed.
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Contains the keyword Mathematics--Study and teaching--Handbooks
"The overall goal of the handbook is to address the question of how to develop innovators in general and how to develop the innovative potential of today's young people with exceptional talents in science, technology, engineering, and maths (STEM) disciplines in particular."
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Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and... more...
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active... more...
Systems and their mathematical description play an important role in all branches of science. This book offers an introduction to mathematical modeling techniques. It is intended for undergrad students in applied natural science, in particular earth and environmental science, environmental engineering, as well as ecology, environmental chemistry, chemical... more...
Maths Problem Solving – Year 6 is the sixth book in the Maths Problem Solving series. The books have been written for teachers to use during the numeracy lesson. They cover the ?solving problem' objectives from the numeracy framework. This book contains three chapters; Making decisions, Reasoning about numbers or shapes and Problems involving... more...
Dig into problem solving and reflect on current teaching practices with this exceptional teacher's guide. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they... more...
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Fundamentals of Trigonometry - 9th edition
Summary: Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry.
Step-by-step ...show moreexplanations accompany the examples and help students better understand the material.
Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology.
The book features more than 1,000 pieces of mathematically precise artwork and figures.
This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired.
The appendix contains problem-solving exercises using the TI-82/83.
Chapter one has been reworked as a stand-alone, optional review chapter.
Expanded discussion exercises. New "Discussion Exercises" have been added at the end of each chapter to promote further exploration of concepts and group work.
Increased number of modeling applications.
Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels.
New discussion exercises at the end of each chapter to promote further exploration of concepts and group work.
Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications.
The Law of Sines. The Law of Cosines. Trigonometric Form for Complex Numbers. De Moivre's Theorem and nth Roots of Complex Numbers. Vectors. The Dot Product. Chapter 4 Review Exercises. Chapter 4 Discussion Exercises.
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THE COMPETITION
The contest consists of two parts: a two-stage individual competition
called FERMAT
(Fundamental
Exams of
Remarkable
Mathematical
Ability
and Talent),
and a Math Bowl
team competition. All questions and problems assume preparation in
Algebra I, Algebra II, and Geometry. Calculators are not permitted.
The day will also include recreational mathematical activities, campus tours,
and opportunities to gather information about majors, departments, the university,
and careers in mathematics and the mathematical sciences.
All contest participants begin the day by completing a one-hour multiple-choice
exam called FERMAT I, which is then machine graded.
During FERMAT I, the Department of Mathematics will offer a presentation of interest to
high school teachers and chaperones. The participants who score in the top 50 on FERMAT I
advance to the second stage of the competition, FERMAT II,
after lunch. FERMAT II consists of essay-type mathematical problems which demand uncommon
creativity and originality in their solutions. These exams are hand-graded by members of
the Mathematics Department faculty.
The Math Bowl team competition is an exciting double
elimination tournament in the style of the Scholars Bowl. In each match of the
competition, two three-member teams compete against one another by using a
buzzer system to answer 10 questions. A point is awarded to a team each time it
answers a question correctly in the time allotted after its buzzer sounds.
Each team must lose 2 matches before it is eliminated from the tournament.
Teams will be classified according to the size of their high school (large or small).
Awards will be given to two divisions of teams, based on school size,
but schools will compete against one another regardless of division. Here
are some Math Bowl example problems. Calculators
may not be used during the Math Bowl. This competition will take place between the
FERMAT I and FERMAT II competitions and after FERMAT II, while the grading of each exam
takes place.
The Awards
Immediately following the championship round of the Math Bowl (about 4:00
p.m.), awards are presented as follows:
Engraved Plaques to students who score in the top 5 on FERMAT I,
Engraved Plaques and four-year, in-state scholarships at $6,000 per year
to the University of Tennessee, Knoxville, to students who score in
the top 10 on FERMAT II,
Trophies and Individual Medals to the top two teams in each of two divisions
(based on school size) of the Math Bowl.
Previous winners of scholarships may compete again, but they will
not deprive another participant of a scholarship. Certificates of Participation
for each student, an award for the top FERMAT I scorer from each high school,
and Certificates of Merit for the top 50 finalists of FERMAT I are mailed
to each school along with statistical results of the exams.
Enrollment
The size of the contest will be limited to 1,000 students and 64 math bowl
teams. Each high school may register up to 30 students, and three of its
participants may form a math bowl team. If 64 math bowl teams have
not registered and paid their fees by October 30th 2014, each high
school will be permitted to enter a second team in the tournament.
At the time of registration, each high school should indicate the number
of teams it would like to enter. The tournament bracket is filled
based on the date each team was registered. You will be notified by
mail of the number of teams which were entered for you into the tournament.
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is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference. less
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Starting at $80Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students.
Table of Contents
1 Operations with Real Numbers and a Review of Geome
1.1 Preparing for an Algebra Class
1.2 The Real Number Line
1.3 Addition of Real Numbers
1.4 Subtraction of Real Numbers
1.5 Multiplication of Real Numbers and Natural Number Exponents
1.6 Division of Real Numbers
1.7 Order of Operations
2 Linear Equations and Patterns
2.1 The Rectangular Coordinate System and Arithmetic Sequences
2.2 Function Notation and Linear Functions
2.3 Graphs of Linear Equations in Two Variables
2.4 Solving Linear Equations in One Variable by Using the Addition-Subtraction Principle
2.5 Solving Linear Equations in One Variable by Using the Multiplication-Division Principle
2.6 Using and Rearranging Formulas
2.7 Proportions and Direct Variation
2.8 More Applications of Linear Equations
3 Lines and Systems of Linear Equations in Two Variables
3.1 Slope of a Line and Applications of Slope
3.2 Special Forms of Linear Equations in Two Variables
3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically
3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method
3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method
3.6 More Applications of Linear Systems
Cumulative Review of Chapters 1-3
4 Linear Inequalities and Systems of Linear Inequalities
4.1 Solving Linear Inequalities by Using the Addition-Subtraction Principle
4.2 Solving Linear Inequalities by Using the Multiplication-Divison Principle
4.3 Solving Compound Inequalities
4.4 Solving Absolute Value Equations and Inequalities
4.5 Graphing Systems of Linear Inequalities in Two Variables
5 Exponents and Operations with Polynomials
5.1 Product and Power Rules for Exponents
5.2 Quotient Rule and Zero Exponents
5.3 Negative Exponents and Scientific Notation
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products of Binomials
5.7 Dividing Polynomials
Diagonostic Review of Beginning Algebra
6 Factoring Polynomials
6.1 An Introduction to Factoring Polynomials
6.2 Factoring Trinomials of the Form x2 + bxy + cy2
6.3 Factoring Trinomials of the Form ax2 + bxy + cy2
6.4 Factoring Special Forms
6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials
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Handbook of mathematical functions with formulas, graphs, and mathematical tables
2014 Reprint of 1964 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Despite the increasing use of ...Show synopsis2014 Reprint of 1964 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation {6); miscellaneous functions {9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over 100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication. Preface by A. V. Astin. Foreword by Advisory Committee, Conference on Mathematical Tables. Editors' Introduction. Indices to Subjects, Notations Handbook of mathematical functions with formulas, graphs, and mathematical tables
This book offers numerous tables, graphs, and high-level function descriptions that no other text has offered from modern publishers. Even though the information is expansive, it offers solution techniques which are already standard on calculators and mathematical programs. Essentially, this book is what people would have used before Matlab and the Ti-85 and above calculators
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This is a collection of 339 videos that work out typical exercises that first, second and third semester calculus students...
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This is a collection of 339 videos that work out typical exercises that first, second and third semester calculus students are asked to solve. The lengths of the videos range from a couple of minutes to up to seven minute depending on the complexity of the exercise. They are all closed captioned, and graphs and other diagrams accompany the words and equations when applicable.
Funded by the National Science Foundation, the Learning Matrix collection provides access to about a 1,000 online resources...
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Funded by the National Science Foundation, the Learning Matrix collection provides access to about a 1,000 online resources useful to faculty teaching introductory science and mathematics courses as well as providing instructional and pedagogical trainingThis site is all about magic squares and magic cubes, with an overview of number patterns. It provides the...
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This site is all about magic squares and magic cubes, with an overview of number patterns. It provides the history of the square, the math behind it, and provides numerous examples of magical squares. With each square example he gives an overview of the square including its history and mathematical basis. There are some great examples that show the number patterns within the square by using color. There is also a page dedicated to Franklin's squares which is very comprehensive. This site has a large variety of squares that include anti-magic squares and 3-D cube squares that give you a totally different perspective on the magic square. It is a very easy to navigate site and is most helpful in understanding the basics of the magic square, although he does include sections for the advanced learner as well.
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Elementary and Intermediate Algebra - 4th edition
Summary: Ideal for lecture-format courses taught at the post-secondary level, ELEMENTARY AND INTERMEDIATE ALGEBRA, Fourth Edition, makes algebra accessible and engaging. Author Charles ''Pat'' McKeague's passion for teaching mathematics is apparent on every page, and with many years of experience teaching mathematics, he knows how to write in a way that you will understand and appreciate0840064195 -used book - book appears to be recovered - has some used book stickers - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front ...show moreor back840064196-5-0
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This college-prep physics course is designed for the student who has completed algebra and has had an introduction to the definitions of sine, cosine, and tangent. It provides a detailed introduction to the methods and concepts of general physics. Heavily emphasizing vector analysis, this text is ideal preparation for a university-level physics course. It provides the student with a strong background in one-dimensional and two-dimensional motion, Newton's laws and their application, gravity, work and energy, momentum, periodic motion, waves, optics, electrostatics, electrodynamics, electrical circuits, and magnetism. Grade 11
I have liked the whole Exploring Creation series. We've studied General Science, Physical Science, Biology, Chemistry, and now this Physics text. I appreciate the Christian worldview. My son is doing well with this course, even though he is just now in Algebra 2/Trig and hasn't had a lot of experience with the sin, cos, and tan functions yet. I was a little concerned that it might be too difficult at first, but the book explains it well. It is challenging, though!
The Apologia science curriculum is the best I have found for sound science information in a biblical world view, and the high school sciences are a superior preparation for more difficult college science classes.
I changed publishers, and this one is much better. It is written in Christian perspective. It is very easy to understand. The author explains why you must do certain things with the equations, and what you are actually doing. He also makes sure that you clearly understand the topics before he moves on to the next. He also lists other sources for additional information if you need it.
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The materials in this book lay a conceptual foundation for understanding mathematical ideas; promote reasoning and problem solving; and show contemporary applications of mathematics using contemporary methodologiesOne of a series of books that support NCTM's Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day.
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The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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Genius Maker contains 32 educational softwares covering the subjects Mathematics, Physics and Chemistry for High school students. Out of the 32 softwares, 9 softwares are provided as Free and the remaining are for Trial.
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Your products will look more modern and attractive with Science Icon Set. Color formats include Windows XP and 8-bit formats. Available sizes are 16x16, 24x24, 32x32, 48x48 and 256x256. This icon set includes mathematics, chemical and biology icons
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Tilghman SATIn computer programming, I have had to apply my knowledge of math to create a wide variety of programs. Precalculus is a course involving college-level algebra concepts and trigonometric concepts. It serves as a preparation for calculus and includes the following topics:
1
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This classic book continues to provide a foundation for mathematical literacy in business, economics, and the life and social sciences. Covers concepts ranging from introductory equations and functions through curve sketching, integration, and multivariable calculus. Helps readers connect concepts with the world around them through genuine applications, covering such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Updates exercises, problems, and Mathematical Snapshots throughout. Improves writing style and mathematical derivations without sacrificing the book's signature flavor. For anyone interested in learning more about introductory mathematical analysis.
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Suggest me a good book to study math and physic
Re: Suggest me a good book to study math and physic
Hi;
What kind of math are you doingI am not the author, MIF is. He also is the creator of the forum. I do not think he will convert it to a book but any user can download it page by page and probably convert to a pdfFor physics I do heartily recommend the Giancoli book. As a mater of fact I used for practicing math problem solvingHmm... I found all algebra-based physics books to be nonsensical, mainly because all of it is memorization. He/she can go through something like Giancoli, but if I were him I would wait a bit and learn calculus and then move on to The Feynman Lectures or Kleppner * Kolenkow.
Re: Suggest me a good book to study math and physic
Memorization is been getting a bad name lately perhaps a bit undeserved. Where would any of us be if we went to bed tonight and forgot everything we have ever learned? Without a memory we can not build on what is already known.
I found his book to be excellent practice for problem solving in the real world. Taught me how to use trig and then vectors and finally DE's. Granted you should move on when you can.
We both are using the same line in our signature. It means that even a Von Neuman sometimes has to just memorize the technique without understanding it well. I have to do it more because I am less talented then he is. For instance I can use a PSLQ a lot easier than I can explain it.
My second line in my signature is from Gauss who often had the answer before he had the math! Over here it is not uncommon to be given the answer and to have to come up with a method, sort of back engineering things.
I would suggest the the OP hang in here for awhile and work so we can see where he is atWhat I mean is blindly memorizing formulas without no knowledge of where it came from, derivation, proof etc. Without no justification at all, it becomes history, not science. Of course, memorization is very important since we have to memorize certain things.
How did you learn differential equations from an algebra-based physics book?
Re: Suggest me a good book to study math and physic
Actually that is a funny story. I never was very good at sticking to the curriculum. I use the math that I know which is usually different then the test or the chapter in the book. I solved lots of his problems using what I knew rather than what he may have intended.
Funny thing was that some teachers would mark me wrong if I did not do it the way they had just taught. or if I used another branch of math that was different then what the subject of the courseExceptional? No. Different? Yes. The hardest thing about the world is surviving when you are different.
Most people just see formula, take 10 minutes to memorize and then plug numbers in.
You are right about that, that is not mathTry daydreaming rather than sleeping. It activates the brain to produce delta wavesYikes, I will not see you for yearsRe: Suggest me a good book to study math and physic
You will be too busyHmmm, perhaps decadesRasnick Halliday
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An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; and the ... ...
This book presents the basic mathematics underlying the subject of Celestial Mechanics.
Keyed to an audience with an interest in mathematics, the book includes four major topics. Chapter 1, The Central Force Problem, deals with Kepler's first and second laws, orbits under non-Newtonian attraction, elements of an orbit, the two-body system, the solar system, and disturbed motion. Chapter 2 introduces the n-body problem and includes the ...
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.
Most Helpful Customer Reviews
I was not a mathematics major, and only in recent years have I ventured into abstract mathematics. I was motivated to learn about topology as an aid to understanding a particular 3-D earth modeling application.
I read Introduction to Topology in three stages: as a review of set theory and metric spaces (chapters 1 and 2), then as an introduction to topology (chapter 3), and lastly as a detailed look at two important topological properties, connectedness (chapter 4) and compactness (chapter 5). I had previously read (and reviewed) another book titled Metric Spaces by Victor Bryant, but Mendelson is my first serious look at topology.
My reading of Mendelson - a 200-page text - required about 100 hours, substantially longer than the 40 to 60 hours estimated by an earlier reviewer. No solutions are provided for the section problems, which are generally proofs, not explicit problems.
The first chapter provides a concise overview of set theory and functions that is essential for Mendelson's later chapters on subsequent set-theoretic analysis of metric spaces and topology.
The second chapter is a solid introduction to metric spaces with good discussions on continuity, open balls and neighborhoods, limits from a metric space perspective, open sets and closed sets, subspaces, and equivalence of metric spaces. Chapter 2 concludes with a brief introduction to Hilbert space.
The third chapter introduces topological spaces as a generalization of metric spaces, and many theorems are largely restatements of the metric space theorems derived in chapter 2. I was thankful for this approach.Read more ›
This book is ideal for self-study. If you have not had the luxury of taking a topology course during your undergraduate studies, but you need to know some topology and you have to study it by yourself, this is the book you need. It is very readable and it explains carefully every concept. However, it is just an introductory text and it contains only basic material. You don't have to invest a lot of time to study the material in this book: let's say 40-60 hours of study are enough to grasp everything. I reccomend it especially to those graduate students of applied mathematics, finance, statistics or economics, who need to use some basic result from topology in their work.
I bought this book for my own enlightenment after already having a course in Topology here at Penn State University. What I find most interesting about this book is that the author explains the philosophy on the ideas and what we are really trying to say with these definitions and theorems. The book I used in my course didn't explain much at all so it would have been much more difficult to teach yourself from this book. Topology is somewhat abstract so if you're looking to study Topology this is a great book to start. A word of advice, read over a theorem and proof and try to reproduce it on paper from your mind. Help yourself from the book a bit along the way if necessary. You will learn much more this way as opposed to following along the proofs in the book as you read. You might also be interested in Counterexamples in Topology, a book with thousands of counterexamples.
I highly recommend this book. The problems are excellent. They really hit home and force you to truly understand the content. They get to the crux of the issues (some problems specifically test to make sure you didn't misinterpret a definition for example) and they're also interesting.
The book is carefully written in a simple style. It's a bit hard to explain... For lack of a better explanation, an analogy would be to how Mac computers are simple to use but not lacking in function. One specific example that I can pinpoint is that the author avoids using symbols excessively.
It is not a "layman" book at all however. Some problems take a lot of thinking. Some of them take me a few hours of scribbling in my notebooks and some of them take a few days of mulling over on top of that. But I'm not a math student or math practitioner (only a hobby at this point) so mathematicians-to-be should have an easier time than I.
Intended for the advanced undergraduate student with a respectable level of mathematical maturity, Mendelson begins with the necessary review of set theory. From there the book delves into metric spaces, topological spaces, connectedness, and compactness. In short, it presents the basics of topology in a clear, linear, very readable fashion.
Readers would be well advised to be familiar with the elements of proof, set theory, linear algebra, and abstract algebra in addition to analysis. A knowledge of geometry is also helpful, as one might expect.
Weighing the price of this book against the depth and breadth of other texts, this volume offers more to the student who is studying topology on a budget. Unfortunately, as with most books in this category, there is no solution guide provided for the exercises. A selection of hints for the exercises would have been a nice addition but otherwise does not detract from the purpose of the work: to give the beginning topologist an overview of the subject.
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Pre-Algebra Online with Books (2nd. ed.)
Pre-Algebra for Distance Learning
Pre-Algebra (2nd edition) eases the transition from arithmetic to algebra. Algebraic expressions and linear equations are applied throughout a thorough review of operations on integers, fractions, decimals, percentages, and radicals. Students explore relations and functions using equations, tables, and graphs. Chapters on statistics and geometry extend foundational concepts in preparation for high school courses. Problem solving and real-life uses of math are featured in each chapter. Dominion through Math exercises regularly illustrate how mathematics can be used to manage God's creation to His glory.
For Distance Learning students, Mr. Harmon teaches this course.
This course includes an abridged electronic version of the teacher's edition and student textbook that can be viewed while logged on to bjupressonline.com.Mr. Bill Harmon, BS
Bill Harmon has loved science for as long as he can remember. After completing his B.S. in Chemistry, he returned to Florida where he gained experience teaching a variety of subjects: science, math, Latin, and computer courses. Now he works as a chemist in the Safety Services Office at BJU, teaches Distance Learning Physics and Algebra, and teaches Chemistry at Bob Jones Academy. He is currently pursuing an M.Ed. in Secondary Education. He and his wife Mary Ann have two children, Brian and Janette. His favorite Bible verse is II Timothy 3:14.
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Finite Mathematics - 2nd edition
Summary: The Second Edition of this engaging text for the one-semester finite mathematics course continues to use intriguing, real-world applications to capture the interest of business, economics, life science, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.
Summaries and reviews appear freque...show morently throughout the text to support students' mastery of mathematical concepts. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.
Graphing Calculator Examples and Exercises located throughout the text explore new topics, guide students through "messy" calculations, or show technology pitfalls. These are optional and may be omitted without disrupting the flow or cohesion of the text.
Application Previews place mathematics in a real-world context and motivate students' interest in the material. Some examples of the diversity of applications covered include sports, genetic engineering, spread of disease, gambling, business, and environmental issues.
Annotations beside many formulas and solution steps emphasize the importance of being able to "read mathematics" by restating much of the mathematics in words.
Hardcover Very Good 0618372210 Ships quickly from KY, USA. 100% of the proceeds go toward International Book Project's mission of promoting literacy in the developing world. 100% of proceeds help s...show moreend books overseas to schools and libraries throughout the developing world. ...show less
$40.39
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Synopses & Reviews
Publisher Comments:
Students and teachers will welcome the return of this unabridged reprint of one of the first English-language texts to offer full coverage of algebraic plane curves. It offers advanced students a detailed, thorough introduction and background to the theory of algebraic plane curves and their relations to various fields of geometry and analysis.
The text treats such topics as the topological properties of curves, the Riemann-Roch theorem, and all aspects of a wide variety of curves including real, covariant, polar, containing series of a given sort, elliptic, hyperelliptic, polygonal, reducible, rational, the pencil, two-parameter nets, the Laguerre net, and nonlinear systems of curves. It is almost entirely confined to the properties of the general curve rather than a detailed study of curves of the third or fourth order. The text chiefly employs algebraic procedure, with large portions written according to the spirit and methods of the Italian geometers. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace.
Readers will find this volume ample preparation for the symbolic notation of Aronhold and Clebsch.
Synopsis:
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Algebra and Trigonometry, 4th Edition
Description
Beecher, Penna, and Bittinger's Algebra and Trigonometry is known for enabling students to "see the math" through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text's approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the authors.
Table of Contents
R. Basic Concepts of Algebra
R.1 The Real-Number Systemeal Numbers
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring Terms with Common Factors
R.5 The Basics of Equation Solving
R.6 Rational Expressions
R.7 Radical Notation and Rational Exponents
Study Guide
Review Exercises
Chapter Test
¿
1. Graphs; Linear Functions and Models
1.1 Introduction to Graphing
Visualizing the Graph
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
Visualizing the Graph
Mid-Chapter Mixed Review
1.4 Equations of Lines and Modeling
1.5 Linear Equations, Functions, Zeros, and Applications
1.6 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
¿
2. More on Functions
2.1 Increasing, Decreasing, and Piecewise Functions; Applications
2.2 The Algebra of Functions
2.3 The Composition of Functions
Mid-Chapter Mixed Review
2.4 Symmetry and Transformations
Visualizing the Graph
2.5 Variation and Applications
Study Guide
Review Exercises
Chapter Test
¿
3. Quadratic Functions and Equations; Inequalities
3.1 The Complex Numbers
3.2 Quadratic Equations, Functions, Zeros, and Models
3.3 Analyzing Graphs of Quadratic Functions
Visualizing the Graph
Mid-Chapter Mixed Review
3.4 Solving Rational Equations and Radical Equations
3.5 Solving Linear Inequalities
Study Guide
Review Exercises
Chapter Test
¿
4. Polynomial and Rational Functions
4.1 Polynomial Functions and Modeling
4.2 Graphing Polynomial Functions
Visualizing the Graph
4.3 Polynomial Division; The Remainder and Factor Theorems
Mid-Chapter Mixed Review
4.4 Theorems about Zeros of Polynomial Functions
4.5 Rational Functions
Visualizing the Graph
4.6 Polynomial and Rational Inequalities
Study Guide
Review Exercises
Chapter Test
¿
5. Exponential and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions and Graphs
5.3 Logarithmic Functions and Graphs
Mid-Chapter Mixed Review
5.4 Properties of Logarithmic Functions
5.5 Solving Exponential Equations and Logarithmic Equations
5.6 Applications and Models: Growth and Decay; Compound Interest
Study Guide
Review Exercises
Chapter Test
¿
6. The Trigonometric Functions
6.1 Trigonometric Functions of Acute Angles
6.2 Applications of Right Triangles
6.3 Trigonometric Functions of Any Angle
¿ Mid-Chapter Mixed Review
6.4 Radians, Arc Length, and Angular Speed
6.5 Circular Functions: Graphs and Properties
6.6 Graphs of Transformed Sine and Cosine Functions
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test
¿
7. Trigonometric Identities, Inverse Functions, and Equations
7.1 Identities: Pythagorean and Sum and Difference
7.2 Identities: Cofunction, Double-Angle, and Half-Angle
7.3 Proving Trigonometric Identities
Mid-Chapter Mixed Review
7.4 Inverses of the Trigonometric Functions
7.5 Solving Trigonometric Equations
Visualizing the Graph
Study Guide
Review Exercises
Chapter Test
¿
8. Applications of Trigonometry
8.1 The Law of Sines
8.2 The Law of Cosines
8.3 Complex Numbers: Trigonometric Form
Mid-Chapter Mixed Review
8.4 Polar Coordinates and Graphs
Visualizing the Graph
8.5 Vectors and Applications
8.6 Vector Operations
Study Guide
Review Exercises
Chapter Test
¿
9. Systems of Equations and Matrices
9.1 Systems of Equations in Two Variables
Visualizing the Graph
9.2 Systems of Equations in Three Variables
9.3 Matrices and Systems of Equations
9.4 Matrix Operations
9.5 Inverses of Matrices
9.6 Determinants and Cramer's Rule
9.7 Systems of Inequalities and Linear Programming
9.8 Partial Fractions
Study Guide
Review Exercises
Chapter Test
¿
10. Analytic Geometry Topics
10.1 The Parabola
10.2 The Circle and the Ellipse
10.3 The Hyperbola
10.4 Nonlinear Systems of Equations and Inequalities
Visualizing the Graph
Mid-Chapter Mixed Review
10.5 Rotation of Axes
10.6 Polar Equations of Conics
10.7 Parametric Equations
Study Guide
Review Exercises
Chapter Test
¿
11. Sequences, Series, and Combinatorics
11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 geometric Sequences and Series
Visualizing the Graph
11.4 Mathematical Induction
Mid-Chapter Mixed Review
11.5 Combinatorics: Permutations
11.6 Combinatorics: Combinations
11.7 The Binomial Theorem
11.8 Probability
Study Guide
Review Exercises
Chapter Test
¿
Photo Credits
Answers
Index
Index of Applications
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