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In Advanced Mathematics, topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis are interwoven to form a fully integrated text. A rigorous treatment of Euclidean geometry is also presented. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. The graphing calculator is used to graph functions and perform data analysis. Conceptually oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets.
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Mathematics through Paper Folding
Product Details
Stock #
14337
ISBN #
978-0-87353-076-7
Published
1/1/1975
Pages
60
Grades
Grades 3-5, Grades 6-8, Grades 9-12,
See What's Inside
Product Description
By Alton T. Olson
Paper folding not only simplifies the learning of
mathematics–it also builds an experiential base necessary for further learning.
The exercises in this publication, appropriate at various grade levels, lead
students to discover and demonstrate such mathematical relationships as
reflections, transformations, and symmetry.
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TRUNCATED ICOSAHEDRON An icosahedron is one of the five Platonic solids (tetrahedron, cube, octahedron, and dodecadhedron are the others). The 20 faces of the icosahedron are congruent equilateral triangles. If planes sliced the icosahedrons at the 1/3 point of each edge, each triangle would become a hexagon, and a pentagon would replace each vertex of the original icosahedron.
The soccer ball and the ball used in the Olympic sport of team handball is an example of a spherical rounded analog of a truncated icosahedron. The flexibility of the surface of these balls and the air pressure on their contents results in this familiar round shape.
PARABOLA Bridges are physical manifestations of a parabola. The height-versustime graph of falling objects at or near the center of the earth can be modeled by a parabola as well. It is usually the first nonlinear curve that students study in algebra. A parabola can be defined as the locus of points equidistant from a point (called the focus) and a line (called the directrix). The parabola with vertex at the origin and opening upward has the equation 4py = x2, where p is a constant representing the distance from the focus to the vertex (or the vertex to the directrix).
FIBONACCI NUMBERS The Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13, 21, 34, . . . , where the first two terms in the sequence are each 1 and every successive term is the sum of the two previous terms.
The ratio of successive terms approaches the golden ratio, ø = (1 + √5) / 2 ≈ 1.6803399. Fibonacci numbers occur often in nature, in particular in phyllotaxy, the study of leaf arrangement on a stem. The spirals on sunflower seed heads, on pineapples, and in pine cones are invariably Fibonacci numbers or multiples of Fibonacci numbers.
PARABOLOID When a parabola is rotated about its axis of symmetry, the three-dimensional surface thus created is a paraboloid. The general equation of a paraboloid in a three-dimensional space is z=(x2/a2)±(y2/b2)
where a and b are constants. Elliptic paraboloids (in which the terms are added) are used for satellite dishes and in the reflectors in automobile headlights because of the reflective property of a parabola; Pringles potato chips are examples of hyperbolic paraboloids (in which the terms are subtracted).
ROTATIONAL SYMMETRY Starfish, jellyfish, and buttercup flowers are among the natural organisms that demonstrate rotational symmetry. Objects that exhibit rotational symmetry can be rotated (less than 360˚) around a central point and remain the same. A Ferris wheel and many law enforcement badges are common objects that exhibit rotational symmetry. Objects can be classified by the number of times it matches itself while being rotated. The starfish, for example, has five-fold rotational symmetry because as it is rotated, it will appear to match itself five times.
This book focuses on essential knowledge for teachers about proof and the process of proving. It is organized around five big ideas, supported by multiple smaller, interconnected ideas—essential understandings.
HYPERBOLIC COSINE Sometimes called the catenary, the hyperbolic cosine is the function whose equation is y=cosh(x)=(ex+e-x)/2.
The shape of the graph of this function is similar, but not identical, to that of a parabola. To see the difference, students can use their graphing calculators to try to superimpose y = cosh (x) on the parabola y = x2 + 1.
While suspension bridges often take the shape of a parabola, any bridge suspended only from its endpoints with uniform weight throughout will take the shape of a catenary or hyperbolic cosine. The Gateway Arch in St. Louis is an inverted catenary slightly flattened at the top, and Antonio Gaudi and other architects have used inverted catenary arches in their buildings.
18" x 24" inches.
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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Intermediate Algebra : Graphs and Models - 3rd edition
Summary: The Third Edition of the Bittinger Graphs and Models series helps students succeed in algebra by emphasizing a visual understanding of concepts. This latest edition incorporates a new Visualizing the Graph feature that helps students make intuitive connections between graphs and functions without the aid of a graphing calculator.
3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution or Elimination 3.3 Solving Applications: Systems of Two Equations 3.4 Systems of Equations in Three Variables 3.5 Solving Applications: Systems of Three Equations 3.6 Elimination Using Matrices 3.7 Determinants and Cramer's Rule 3.8 Business and Economics Applications89 +$3.99 s/h
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HawkingBooks Lake Arrowhead, CA
0321416163 Good Condition. Has some crinkling. Five star seller - Ships Quickly - Buy with confidence!
$4.99 +$3.99 s/h
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Dream Books Company, LLC Englewood, CO
2007 Hardcover Fair PLEASE NOTE: Binding is damaged and may be loose. All pages are intact. UGLY BOOK! ! ! Still Readable. This is not a book for picky readers. May contain light to heavy markings...show more, water damage, binding damage, missing CDs, and heavy wear and tear. Contains all
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Sachse PrealgebraTopics include simplifying expressions, evaluating and solving equations and inequalities, and graphing linear and quadratic functions and relations. Real world applications are presented within the course content and a function's approach is emphasized. Prealgebra instruction includes a review...
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Take the FEAR OUT of Business Calculus Business Calculus Demystified clarifies the concepts and processes of calculus and demonstrates their applications to the workplace. Best-selling math author Rhonda Huettenmueller uses the same combination of winning step-by-step teaching techniques and real-world business and mathematical examples that... more...
Your INTEGRAL tool for mastering ADVANCED CALCULUS
Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified , there's no limit to how much you will learn.
Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending... more...
Pre-Calculus Demystified leads the reader through all the intricacies and requirements of this essential course Whether you need to pass a class, a college requirement, or get a leg up on more advanced topics, this book provides clear explanation with a wealth of questions, answers and practical examples.
Packed with practical examples, graphs,... more...
LEARNING CALCULUS JUST GOT A LOT EASIER! Here?s an innovative shortcut to gaining a more intuitive understanding of both differential and integral calculus. In Calculus Demystified an experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples, real data, and a totally different... more...... more...
Master the fundamentals of advanced calculus with this high-performance study guide
Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides.
Schaum's Outlines give you the information your teachers expect you... more...
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A brief introduction to Multidimensional Analysis, a generalization of linear algebra that incorporates ideas from dimensional analysis. The central idea is that vectors and matrices as used in science and engineering can be thought of as having elements which are not just real (or complex) numbers, but formally have different types, such as length or voltage. Quantities with different types do not form an algebraic field as they are not closed under addition, e.g., 1 meter + 1 volt is undefined. Traditional linear algebra assumes that vectors and matrices are isomorphic to arrays of elements which are closed under addition, and so traditional linear algebra is not formally valid for many applications in science and engineering.
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The use of graphing calculators and other kinds of technology is prevalent in today's K-12 mathematics classrooms, probably more so than at the collegiate level. Consideration must be given to the amount of reliance students have on this technology. Calculator skills are certainly necessary, and the calculator can be a powerful verification tool for more difficult problems. But a careful distinction is needed between using the calculator as a tool and using a calculator due to deficiency of skills.
Certainly, students should use the calculator to confirm algebraic solutions to equations, reasonability of limits of functions and slopes of tangent lines in calculus. On the other hand, students should be able to solve equations like 36x3 = -4/3 easily without calculators.
It is expected that freshmen entering The University of Iowa are proficient in arithmetic with integers and fractions, without the use of calculators. Deficiency in this area can lead to barriers in acquiring the algebra skills needed for success in college math and math-related classes. Students need good number sense and the kind of familiarity with numbers that comes from use of paper and pencil techniques for acquiring skill in arithmetic.
Efficient use of least common denominators, for example, sets students up for success in the more advanced algebra needed at the calculus level. Students who have been allowed unrestricted use of calculators K-12 may find themselves deficient in the kinds of skills needed in college math. Of particular importance is facility with manipulating fractions – operations and simplifying.
While there are times when conversion from fractions to decimals is appropriate, it is not always productive, so that flexibility to work with fractions is important. Students who have not been expected to develop this flexibility – i.e. students who have been allowed unrestricted use of calculators for such computations – will find college math much more difficult. Also, keep in mind that instructors in mathematics courses at The University of Iowa usually want the exact answer (and how the answer was derived), not a decimal approximation. For example, 2π should be left as 2π and not approximated as 6.2832.
Consequently, students at the K-12 level should have plentiful and continuous exposure to computation in the absence of calculators so that their skills are strong enough for the acquisition of algebra and more advanced skills.
Students will probably find that graphing calculators are less used in their mathematics courses at The University of Iowa than in high school. It is departmental policy that the use of technology in a class is left up to the instructor of that course. This may range from not allowing even a scientific calculator to requiring a certain graphing calculator or that students learn to do assignments in Maple or Mathematica. Most instructors do not allow graphing calculators or calculators doing symbolic algebra on quizzes or exams.
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Often the biggest stumbling block for students beginning algebra and other advanced math subjects is the unfamiliar nomenclature, including specialized definitions of what appear to be familiar terms. The advanced math...
This manual is made available as an aid to supervisors of the Heron Algebra courses.
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Everyday Chemistry is an exciting beginning chemistry book for elementary and middle school students.
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Explores the vocabulary, operations and applications of fractions, mixed numbers, ratios, proportions, percentages, measurements, integers, introduction to algebraic expressions and the solution of basic first degree equations. Designed for students with an Elementary Algebra score of less than 45 and an Arithmetic ACCUPLACER® score of 57-120.
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Fresh Articles
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I meet many students who feel satisfied when they understand a mathematical concept, and feel no need to practise further.
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Perhaps the first question should be, "Why would you want maths?" Well, in order to answer that, we have to realise what maths is. For many people, maths goes something like this:
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Doing Mathematics at A-Level opens the door to a wide range of careers, including medicine, business, computing, geophysics, biosciences, construction and even Formula 1.
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A teacher should have a lot of qualities but most of the qualities mentioned here are those which a good teacher must possess.
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Top tips for exams:
Keep a list of things to remember - problems stressed by the instructor, definitions, terms, diagrams and graphs, formulas.
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Career opportunities for Maths graduates are varied and a student's chosen career will depend on what other subjects they took as well. Industries that use maths however include the stock market, financial analysts, the IT industry and even astronomy - in fact the number of uses for maths is...
Looking back on my maths A-level, fascinated though I was with figures, I often wondered: why do we need algebra? And what is its application in real life!? Well, as it turns out, the polynomials and parenthesis, equations and exponents and matrices and monomials are some of many tools that when...
A number of students are concerned and anxious about the grade will achieve in their Maths exams. Having tutored for more than 8 years and seen students of varied ability levels, my advise to all is actually quite straight forward - practice, practice and more practice. Maths is a skill which...
The transition to A level maths
The transition from GCSE – or even IGCSE maths – to AS levels can come as a shock to many year 12 students. There are many reasons why students fail to cope with AS level maths, which include methods of study, style of teaching, and the type of work. I...
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Scientific calculator performs 469 functions and features Direct Algebraic Logic (DAL) to simplify the entry of equations. DAL allows students to enter the elements of an expression in the exact order they appear in the textbook. The Multi-Line Playback makes scientific equations easier for students to solve because they can "playback" the expressions and substitute new numeric values. Calculator also includes differential and integral Calculus functions; physical constraints; metric conversions; a large 12-digit, two-line LCD numeric screen; and nine independent memories. The hard slide cover protects the calculator so it can withstand frequent use. Calculator is recommended for general math, pre-algebra, algebra, trigonometry and biology. PTA approved tests include AP Chemistry, AP Physics, PSAT/NMSQT, SAT I, SAT II, Math IC, and Math IIC. Twin power calculator runs on solar power and battery power for low-light conditions.
"The EL-506XBWH performs over 449 advanced scientific functions and utilizes a 2-line display and Multi-Line Playback to make scientific equations easier for students to solve. It is ideal for students studying general math algebra geometry trigonometry a
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Computer-Based Math
Computer-Based Math is an educational project started by Conrad Wolfram in 2010[1][2][3][4] to promote the idea that mathematics education should make the greatest possible use of computers for performing computation leaving students to concentrate on the application and interpretation of mathematical techniques.[5] Wolfram also argues that computers are the basis of doing math in the real world and that education should reflect that [6] and that programming should be taught as part of math education.[7]
Wolfram contends that this approach is fundamentally different from most of the use of computers in the math classroom,[8] whose role is to help to teach students to perform hand-calculations, rather than to perform those computations and is also distinct from delivery tools such as E-learning systems.
In 2010 the website was set up to start developing a new curriculum and interactive digital learning materials to support it. It holds an annual conference.
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...
Show More motivation, careful explanations, and numerous examples, with an ongoing focus on real-world problem solving. Pedagogical elements including chapter opening applications, graphing explorations, technology tips, calculator investigations, and discovery projects are some of the tools students will use to master the material and begin applying the mathematics to solve real-world problems. CONTEMPORARY COLLEGE ALGEBRA AND TRIGONOMETRY includes a full review of basic algebra in Chapter 0 and full coverage of trigonometry to prepare students for the standard science/engineering calculus sequence. (The companion volume, CONTEMPORARY COLLEGE ALGEBRA includes all of the non-trigonometry topics, covered in sufficient detail to prepare a student for a business/social science calculus course.) Those who are familiar with the author's CONTEMPORARY PRECALCULUS should note that this book covers topics in a different order, and with a slower, gentle approach. Also, more drill exercises are included.
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More About
This Textbook
Overview
This is a concise and elementary introduction to contemporary measure and integration theory as it is needed in many parts of analysis and probability theory. Undergraduate calculus and an introductory course on rigorous analysis in R are the only essential prerequisites, making the text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included to consolidate what has already been learned and to discover variants and extensions to the main material. Hints and solutions can be found on the authors website, which can be reached at
Editorial Reviews
From the Publisher
"I believe this to be a great book for self-study as well as for course use. The book is ideal for future probabilists as well as statisticians, and can serve as a good introduction for mathematicians interested in measure theory."
MAA Reviews
"...it succeeds in handling the technicalities of measure theory, which is traditionally regarded as dry and inaccessible to students (and, I think, the most difficult material that I have taught at undergraduate level) with a light touch. The book is eminently suitable for a course (or two) for good final year or first-year post-graduate students and has the potential to revitalize the way that measure theory is taught. If it does, the author will deserve our thanks indeed."
Journal of the Royal Statistical Society
"This book will remain a good reference on the subject for years to come."
Peter Eichelsbacher, Mathematical Reviews
"The chapters contain nicely written short blocks of theory followed by good and meaningful exercises, solutions of which are available on the author's home page. This feature makes the book an attractive starting point for an undergraduate course on measure and integration theory. The book is well structured and the presentation is clear; arguments and proofs are detailed and easy to follow."
Filip Lindskog, Journal of the American Statistical
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Peer Review
Ratings
Overall Rating:
This applet draws the graph of y = sin(x) along with its Maclaurin polynomial (Taylor polynomial at c=0). The user can specify the degree of the approximating polynomial and then increment it with a push of a button.
Learning Goals:
To illustrate the concept of Taylor polynomial approximation.
Target Student Population:
Students in Calculus II
Prerequisite Knowledge or Skills:
College Algebra, Calculus I
Type of Material:
Simulation
Recommended Uses:
In-class demonstration
Technical Requirements:
A Java-enabled browser.
Evaluation and Observation
Content Quality
Rating:
Strengths:
This applet does one thing and one thing only: it draws a graph of a Taylor polynomial approximating y = sin(x) in the neighborhood of the point c = 0. A user can change the degree of the polynomial either by manually typing it or by clicking on the "Next" button. The latter method increments the degree by two with each click and allows the user to observe the resulting quality of approximation.
Concerns:
The site could use an introductory paragraph explaining Taylor approximation and perhaps giving a formula for a Maclaurin polynomial for y = sin(x) of degree n.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This applet is a great visual aid for a one-time in-class demonstration in a Calculus course. Traditionally, Taylor approximation is one of the topics that students find hard to absorb. This dynamic applet should help students grasp the concept of Taylor approximation.
Concerns:
The use of the applet is very limited. It would certainly widen the use if one could have a way to change the input function (or at least choose from a list of popular ones) and move the center of approximation.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
The applet is extremely easy to use since it has only two control buttons and one input box.
Concerns:
none
Other Issues and Comments:
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Abstract: Through the study of algebra, students learn to think abstractly, apply various representations, communicate mathematically, and develop the habits of mind that are needed to use mathematics and become lifelong learners. Whether taught within a first-year algebra or an integrated course, algebraic concepts form a core of mathematical knowledge that students need for future success. The Editorial Panel of Mathematics Teacher solicits manuscripts that examine ways to teach the key mathematical concepts students must learn in a beginning algebra course.
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.
| 677.169 | 1 |
MathPlayer2.1
MathPlayer is based on MathML technology and requires Internet Explorer for Windows version 6.0 and later. We make MathPlayer available for free in order to foster the adoption of MathML in the math, science, and education communities.
MathPlayer is a tool that was designed for enhancing the displaying of mathematical notation in Internet Explorer. Just as HTML is the computer language in which web pages are written, the math in a web page is written in the MathML language.
When you browse to a web page containing MathML, Internet Explorer gives it to MathPlayer to display as standard math notation such as you would find in a textbook.MathPlayer's right-click menuCopying equations into other programs The Copy MathML command puts the MathML description of the equation on the clipboard. The MathML text can be pasted into a text editor (eg, Notepad), an HTML editor (eg, Dreamweaver, FrontPage), or computer algebra system (eg, Maple, Mathematica). If your favorite calculation or mathematical program doesn't accept MathML, contact the publisher of that software package and request that MathML support be added.
Opening an equation in MathType or WebEQ The Open with MathType command on the Commands sub-menu will open the equation in a new MathType window. The command will be grayed out if MathType is not installed on your computer or if the equation does not contain MathType information. The Open with WebEQ command will open the equation in a new WebEQ window. The command will be grayed out if WebEQ is not installed on your computer.
MathZoom/Unzoom Choose the MathZoom™ command to get a closer look at the equation. This can be handy to view small scripts and accents. To bring the equation back down to normal size, choose Unzoom (the MathZoom command changes to Unzoom on a zoomed equation). A single mouse click in an equation will toggle the zoomed state. Clicking in a zoomed equation while holding the Shift key down will unzoom all equations in the page. Warning: If the equation contains interactive parts that respond to mouse clicks, zoom/unzoom can only be performed using the menu commands.
Speak Expression The Speak Expression command causes the equation to be spoken through your computer's sound system using Design Science's math-to-speech algorithms. This requires that you have a MathPlayer-compatible text-to-speech engine installed on your computer.
Support for Microsoft Internet Explorer 7, including support for Internet Explorer's security framework, Manage Add-ons feature, and Zoom feature.
Speak Expression command now synchronously highlights the mathematics as it is spoken. Synchronized highlighting is a learning aid for all students, and has been shown to be particularly effective for people with learning disabilities such as dyslexia.
Support for DotsPlus, a Braille math format for use with Tiger Braille printers.
Enhanced Clipboard Support. "Copy MathML to Clipboard" has been enhanced so that users can copy a MathML equation displayed by MathPlayer/Internet Explorer and paste it into Microsoft Office 2007, and other applications that support this new format for exchange of mathematics via the clipboard.
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books.google.com - 3... Math Primer for Graphics and Game Development
3D Math Primer for Graphics and Game Development
3 C++ Classes Illustrate How To Put The Techniques Into Practice, And Exercises At The End Of Each Chapter Help Reinforce The Concepts. This Book Explains Basic Concepts Such As Vectors, Coordinate Spaces, Matrices, Transformations, Euler Angles, Homogenous Coordinates, Geometric Primitives, Intersection Tests, And Triangle Meshes. It Discusses Orientation In 3D, Including Thorough Coverage Of Quaternions And A Comparison Of The Advantages And Disadvantages Of Different Representation Techniques. The Text Describes Working C++ Classes For Mathematical And Geometric Entities And Several Different Matrix Classes, Each Tailored To Specific Geometric Tasks. Also Included Are Complete Derivations For All The Primitive Transformation Matrices.
This book is recommended literature in my class (Simulations in 3D) and so far a very helpful book. It introduces the basic concepts like vectors and matrices in the 2D world (very easy to understand) and then teaches you how to apply it to the 3D world. A good book if you intend to work with 3D simulations (be that movies, games or simulators).
Review: 3D Math Primer for Graphics and Game Development
User Review - Jeremy - Goodreads
Shawn P recommended this book for us non-CIS guys that want to get deeper into 3D. Worked with him on an animated film, before he left to work at a major game studio. Great guy, very knowledgeable... what I'm sayin is, I trust his judgment.Read full review
About the author (2002)
Dunn is currently the principal software engineer for Terminal Reality.
Parberry is a professor of computer science at the University of North Texas in Denton, Texas, where he specializes in a unique curriculum focusing on the computer game industry. Parberry is internationally recognized as one of the top academics in this field.
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College Algebra
Browse related Subjects
...Read More help students learn to think mathematically and to develop genuine problem-solving skills. Comprehensive and evenly-paced, the text has helped hundreds of thousands of students. Incorporating technology, real-world applications, and additional useful pedagogy, the sixth edition promises to help more students than ever build conceptual understanding and a core of fundamental
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What are the benefits of using all the elements of the program to instructors?
Instructors can choose from a variety of media and web-based activities to create a customized set of supplementary materials.
What are the benefits to students?
The program offers a wide variety of resources to enhance the student's learning experience.
Best uses of the whole program
How can the entire program be used in the course?
This integrated text and web program is dedicated to helping instructors and students take advantage of the opportunities created by new instructional technologies. The program provides a variety of student study tools, instructor assessment materials and visual aids, and distance learning solutions.
How can the program be used to support a distance-learning course?
All media and web-based resources are accessible from any computer with a CD-ROM drive and an Internet connection, making them very useful for distance education.
Provide a suggested lesson plan on how to integrate all key pieces as a whole program in support of the course. (e-structors) and independent study resources for core courses and skills. Students can access tutors and resources live during their typical homework hours, four nights a week. View a SMARTHINKING demo at (e-structors) and independent study resources for core courses and skills. Students can access tutors and resourceslive during their typical homework hours, four nights a week. View a SMARTHINKING demo at
Larson eSolutions for Calculus Calculus Learning Tools Student CD-ROM
FREE with every new student text purchased from Houghton Mifflin. This comprehensive, text-specific CD contains an unprecedented quantity of support materials and resources for students.
CAS Open Explorations are investigations of over 100 examples in the text identified by the "IC" icon that have been formatted and written to launch in several computer algebra systems (Maple, Mathematica, Derive, and Mathcad).
MathGraphs offer students easy access to over 125 enlarged, printable graphs that correlate with many of the exercise sets in the text, eliminating the need for students to copy graphs by hand.
Math Articles present a collection of 80 relevant journal articles that reinforce theconcepts found in the text's "For Further Information" sections. (Cross-referenced in the text and also available at matharticles.com.)
Rotatable Graphs provide students with a new level of visualization by offering panoramic, three-dimensional views of 250 key figures and artwork found in the text.
Calculus Labs are a series of technology lab projects designed as extensions of the Chapter Openers to help students appreciate the real-world applicability of calculus while practicing their problem-solving and computer algebra skills.
Math Biographies motivate students with brief historical sketches of more than 50 famous mathematicians who played an important role in the development of calculus.
Appendices D, E, F, and G, plus an additional chapter (15) on Differential Equations provide students with extra sections on Precalculus Review, Rotation and the General Second-Degree Equation, Complex Numbers, and Business and Economics Applications.
Interactive Calculus 3.0 CD-ROM
This comprehensive resource brings Calculus to life in a compelling learning environment. A wide range of features adds strong visual-learning support.
Open Explorations
Section Quizzes
Editable two-dimensional graphs
Rotatable three-dimensional art
Explorations
Simulations
Animations
Additional Try-It examples with step-by-step solutions
Complete solutions to all odd exercises in the text
Internet Calculus 3.0
This online learning center offers the same capabilities and feature as the CD-ROM, plus opportunities for online course management.
CalcChat
This space developed by Ron Larson is one of several ways to deliver step-by-step solutions to all odd-numbered exercises in the text. CalcChat encourages students to interact with peers and a moderator on problem solving in an innovative chat room environment.
Solutions to these same exercises are also available in the print Study and Solutions Guide and on the Interactive Calculus 3.0 CD-ROM.
HM Testing CD-ROM
The new version of the computerized database provides instructors with a wide array of algorithmic test items. In addition to producing an unlimited number of tests for each chapter, including cumulative tests and final exams, HM Testing also offers online testing and gradebook functions.
New Topics in Calculus Video Series
DVD of Calculus videos (coming soon)
The only supplement of its kind, this completely new video series by Dana Mosely provides comprehensive and additional explanations of key concepts, sample problems and applications, and computer-generated animations to help students review essential topics.
REVISED! Graphing Calculator Videotape
For both students and instructors, this tape covers basic capabilities shared by a wide variety of Texas Instruments, Casio, Sharp, and Hewlett-Packard graphing calculators that are required for working calculus problems.
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Get yourself the Casio fx-991ES that calculator is a beast, and it is allowed in all maths-based exams. It will gain you at least a grade across all your exams, and it isn't expensive really (I picked mine up for £15).
The fx-991ES PLUS (I missed the PLUS out in my last comment, and it does make a bit of a difference I guess) has several features not found on the fx-83ES and fx-85GT calculators. They allow for numerical integration, differentiation, summation can solve quite a few forms of equation (quadratics, cubics etc.). It also has the option to calculate in several base-n number systems (namely binary, hexadecimal, decimal (no **** ) and octal. It also has complex number, vector and matrix modes in addition to the standard stat mode. It also has most of (nearly all) the fundamental consants and 40 unit conversions which are damned useful (especially if you study physics, like me!).
Nice, and yeah, in my Further Pure exams it has saved my life more than once by allowing me to get the definite answer - while it doesn't give the method, it at least means the answer is a known value in nearly all cases.
If marks are awarded for method, you still get marks for the answer, which is ALWAYS important. If I could, I would take two calculators in. One for the graphs and complexities, and the other for more basic calculations and in case the battery runs out and they give you one that can't do the work that the upper class calculators do.
Yeah, unfortunately the exam boards have realised that even if students don't know what they're doing, they can get the right answer via their calculator, and it's meant that (at least, it seems to be the case) they are looking more often for exact answers than numerical ones now (the 991ES PLUS can't provide exact answers for things like integrations, so you can only use it for checking).
As for graphs and the like, I haven't needed to mess about with calculators that fancy yet, and the closest I have gotten was a friend's calculator which you could program games on, which was kinda insane, but also definitely banned in the exams I have yet to sit.
Haha, while they may only be capable of games as complex as Pokemon, think about what calculators used to be capable of and it suddenly seems insane how powerful even calculators have become, price vs (absolute) performance of computers is reaching a point where they're just everywhere. One day we'll even be able to speak to our calculators!
I speak to my calculator. It's called Android Voice Recognition. ( **** Apple. I don't support them. Android master race.) It utilizes scientific calculator apps that are linked in, but it's certainly going to become the future. However, voice recognition would never be allowed, because nobody can talk in exams.
By the time it's in, I wouldn't have to worry about that! Unless it is working solidly in the next 4 years, I shouldn't have to sit another exam again (I really hope). What app do you use? I have a Nexus 5 so I should be down with that sorta thing, but when looking on the app store, the most powerful scientific calculators supported seemed oddly none-functional compared to actual calculators.
It's a homebrew program that a friend put on my phone. I don't know how he does it, but it's pretty shaky atm and is hard to operate at times because there are holes in the coding. If he releases it onto the app store, I'll tell you which one it is.
The reason it shows the fraction as an answer, is because that is the most precise answer you can get since the result in irrational, if you have it read up the decimal answer, it will never be completely correct, unless your calculator can show and calculate an infinite ammount of digits.
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Mathematics and Actuarial Science Courses
AR210-MA, Statistically Speaking: Who needs
statistics in the 21st century? Anyone looking critically at
numerical information who does not want to be misled by incorrect
or inappropriate calculations or anyone dealing with issues in
their environment, state/nation or career would benefit from
studying the methodology of statistics. These problems include
finding ways to improve our environment and living standards or
studies conducted in an effort to fight diseases. This course is an
introduction to applied statistics in the natural, social and
managerial sciences through the use of current environmental and
global issues. Topics include sampling, data analysis, experimental
design and the use of computer-based statistical software. (U)(3).
Fall and spring.
AR211-MA, Codes & Secret Messages: How can
sensitive information such as credit card numbers or military
strategy be exchanged between two people without being intercepted
by a third party? Are there ways to detect and correct errors
resulting from a mistyped identification number or a scratched CD?
Can information be exchanged securely among multiple individuals
without anyone revealing his or her own decryption scheme? In this
course, students will investigate various strategies for storing
and transmitting information accurately, efficiently and securely.
Students will design several types of ciphers for sending secret
messages, construct various error detecting and error-correcting
codes, and implement secure public-key cryptosystems for exchanging
messages with classmates. As these issues are explored, students
will discover the need for mathematical notions such as modular
arithmetic, permutations and combinations, probability and
statistics, vectors and matrices, and formal logic. Students will
also become aware of the central role played by cryptology and
coding throughout history and modern society. (U)(3). Fall and
spring.
AR212-MA, Win, Lose or Draw: Why do we play
games? Whatever the reason, games are a big piece of life. The
world has played games for a long, long time - every time period,
every culture. We will study games and gambling in our culture as
well as those in other cultures. To better understand games, the
students will study probability theory and its application to
gaming. Applications include casino games, lotteries, racing,
wagering systems, as well as other games. Some analytical tools
that will arise during the course are counting methods, expected
value, trees, gambler's ruin and distributions. (U)(3). Fall and
spring101, Algebra: Provides students with the
necessary background to continue in mathematics. Topics include the
number system, equations, inequalities, graphs, polynomials,
algebraic functions and exponents. Students who have successfully
completed any other mathematics course will not be given credit for
MA101. Does not satisfy core curriculum requirement. Must not
be taken pass/fail. Prerequisite: high school algebra. (U)(3). Fall
and spring.
MA102, Precalculus: This course provides
students with the necessary mathematical background to successfully
complete a calculus course or a course that has calculus as a major
topic. Topics include solving equations and inequalities,
exponents, factoring, complex numbers, and functions - linear,
quadratic, polynomial, rational, exponential, logarithmic and
trigonometric. Students who have successfully completed any other
mathematics course, MA106 or above, will not be given credit for
MA102. Does not satisfy core curriculum requirement. Must not
be taken pass/fail. Prerequisite: high school algebra and
appropriate score on the Butler Math Placement Exam. (U)(3). Fall
and spring200, Basics of Advanced
Mathematics: Introduces students to the concepts and
methods of higher mathematics with an emphasis on techniques of
mathematical proof. Topics include foundations of logic, set
theory, relations, partial orders, well-ordering, isomorphisms,
induction, equivalence relations, and functions. Prerequisite or
corequisite: MA106 or equivalent. (U)(3). Spring only.
MA301, History of Mathematics: Historical
development of number systems, including contributions from Egypt,
Greece, China, India and medieval to early modern Europe. Topics
may include arithmetic, algebra, theory of equations, geometry,
trigonometry, number theory, combinatorics, probability and the
beginnings of calculus. Prerequisites: MA107 and MA205. (U/G)(3).
Fall only.
MA308, Problem Seminar: A course
emphasizing the process of solving mathematical problems. Problems
will be drawn from various sources. Students and faculty will meet
weekly to exchange ideas and present solutions. Students may earn
up to three credits by repeated registrations. Prerequisite: MA107.
(U/G)(1). Fall and spring.
MA401, 402, 403, Independent
Study: Provides an opportunity for qualified students to
pursue special topics under the guidance of a department staff
member. Prerequisite: permission of department. (U/G)(1, 2 or 3).
Fall and spring.
MA411, Internship:
Supervised work experience directly related to the major area of
study. The student is required to present his or her internship
work in a seminar to a group of students and faculty.
Prerequisites: junior or senior standing and permission of
department. (U/G)(3). Fall and spring.
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How 15.053 differs from 15.058
The subjects are very similar. The primary difference in content are four or five lectures in 15.058 that rely on the first weeks of linear algebra. The amount of homework is approximately the same in both subjects, and the grading is roughly the same. (The grades are not based on a curve.)
The other differences between the classes relate to class composition. 15.058 has approximately half the number of students as 15.053, split roughly equally between graduate students and undergraduates. (Graduate students are not eligible to take 15.053.) This permits more class interaction in 15.058.
Starting in 2013, there will be additional emphasis on optimization modeling in both subjects, and there will be a course project in both subjects.
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Mathematics A Discrete Introduction
9780534398989
ISBN:
0534398987
Edition: 2 Pub Date: 2005 Publisher: Thomson Learning
Summary: With a wealth of learning aids and a clear presentation, this book teaches students not only how to write proofs, but how to think clearly and present cases logically beyond this course. All the material is directly applicable to computer science and engineering, but it is presented from a mathematician's perspective.
Scheinerman, Edward R. is the author of Mathematics A Discrete Introduction, published 2005... under ISBN 9780534398989 and 0534398987. Two hundred sixty five Mathematics A Discrete Introduction textbooks are available for sale on ValoreBooks.com, fifty five used from the cheapest price of $22.87, or buy new starting at $60.00.[read more
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Programmed Mathematics for Nurses - 8th edition
Summary: Provides students with an enjoyable way of learning the math skills requried to solve the many types of problems that may be encountered in the giving of medications and in the preparation of solutions. The secret lies in a small group of psychological principles that make up the reinforced learning system. Unlike an ordinary text that must be studied and memorized, this reinforced learning system asks the student to solve a logical series of problems. Each problem is designed to sti...show moremulate the student to think out the correct answer on the basis of information already learned. After responding to each problem students can immediately check their work against the correct answer. ...show less
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Beginning Algebra - 4th edition
Summary: This text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and4488115125.05 +$3.99 s/h
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...
More About
This Book
hyperbolic geometry in the first chapter rather than in a closing chapter as in other books. An important reference and resource book for any reader who needs to understand the foundations of differential geometry.
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Table of Contents
Preface. How to Use This Book. 1. Surfaces and Straightness.
When Do You Call a Straight Line? How Do You Construct a Straight Line? Local (and Infinitesimal) Straightness. Intrinsic Straight Lines on Cylinders. Geodesics on Cones. Is "Shortest" Always "Straight"? Locally Isometric Surfaces. Local Coordinates for Cylinders and Cones. Geodesics in Local Coordinates. What Is Straight on a Sphere? Intrinsic Curvature on a Sphere. Local Coordinates on a Sphere. Strakes, Augers, and Helicoids. Surfaces of Revolution. Hyperbolic Plane. Surface as Graph of a Function z=f(x,y)
2. Extrinsic Curves.
Introduction. Give Examples of F.O.V.'s. Archimedian Property. Vectors and Affine Linear Space. Smoothness and Tangent Directions. Curvature of a Curve in Space. Curvature of the Graph of a Function. Osculating Circle. Strakes. When a Curve Does Not Lie in a Plane.
The Area of a Triangle on a Sphere. Introducing Parallel Transport. The Holonomy of a Small Geodesic Triangle. Dissection of Polygons into Triangles. Gauss-Bonnet for Polygons on a Sphere. Parallel Fields and Intrinsic Curvature. Holonomy on Surfaces. Holonomy Explains Foucault's Pendulum. Intrinsic Curvature of a Surface
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San Gregorio ACTThe computer programs, the calculator and the understanding of this course are essential components to this course and its applications in our world today. SAT Math is a combination of Algebra, Geometry, Algebra ll and Trig problems. Many say they are tricky but what they are doing is making students think as well as simply remember some procedures
| 677.169 | 1 |
Book Description
The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century. However this classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field. By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry. Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry.
The entire book is available to download (3 Mb PDF file), or download the Preface and Table of Contents for a quick preview (100K PDF file). Note: The published edition of the book is out of print and is no longer available from the original publisher (Academic Press).
Features
Exploring Analytic Geometry with Mathematica, Mathematica and
Descarta2D provide the following outstanding features:
The book can serve as classical analytic geometry textbook with in-line Mathematica dialogs to illustrate key concepts.
A large number of examples with solutions and graphics is keyed to the textual development of each topic.
Hints are provided for improving the reader's use and understanding of Mathematica and Descarta2D.
More advanced topics are covered in explorations provided with each chapter, and full solutions are illustrated using Mathematica.
A detailed reference manual provides complete documentation for Descarta2D, with complete syntax for over 100 new commands.
Complete source code for Descarta2D is available in 30 well-documented Mathematica notebooks.
The complete book is integrated into the Mathematica Help Browser for easy access and reading.
Descarta2D provides a complete software system and mathematical reference.
Descarta2D Notebooks for Mathematica
Descarta2D provides a full-scale Mathematica implementation of the concepts developed in Exploring Analytic Geometry with Mathematica. A reference manual section explains in detail the usage of over 100 new commands that are provided by Descarta2D for creating, manipulating and querying geometric objects in Mathematica. To support the study and enhancement of the Descarta2D algorithms, the complete source code for Descarta2D is provided, both in printed form in the book and as Mathematica notebook files (in a ZIP file available for purchase).
The ZIP file provides the complete text of the book in Abode Portable Document Format (PDF) for interactive reading. In addition, the ZIP file provides the following Mathematica notebooks:
Chapters with Mathematica dialogs, 24 interactive notebooks
Reference material for Descarta2D, 3 notebooks
Complete Descarta2D source code, 30 notebooks
Descarta2D packages, 30 package notebooks
Exploration solutions, 125 notebooks.
These Mathematica notebooks have been thoroughly tested and are compatible with Mathematica Versions 3, 4, 5, 6, 7, 8, and 9. Maximum benefit of the book and software is gained by using Descarta2D in conjunction with Mathematica, but a passive reading and viewing of the book and notebook files can be accomplished without using Mathematica itself.
Purchase Descarta2D Notebooks
The Descarta2D notebooks for Mathematica may be purchased here as a ZIP file downloaded from our web site. We use PayPal to process our internet credit card orders. You may use an existing PayPal account if you have one, but you do not need to have or create a PayPal account to place an order.
| 677.169 | 1 |
Precalculus - Text Only - 5th edition
Summary: Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical...show124.47 +$3.99 s/h
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About the book:
Price is for EA.
Manufacturer Part Number: IP-6124
This Daily Practice series helps your students use their skills, so they won't lose them. There are five problems a day, every day for 36 weeks. The practice activities are set up in a spiraling scope and sequence so that students practice skills at regular intervals. Each week's problems are based on a grade-level appropriate topic so every time a skill shows up, it has a new context requiring students to dig into their memories, recall what they know, and apply it to a new situation. Correlated to state and national standards.
The item can't be shipped to AF, AA, AC, AE, AM, AP in the Unite States. Publications, 2007 Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail Pub, 2007 Used - Good. A great value for the avid reader! GOOD can range from a well cared for book in great condition to average with signs of slight wear. Overall, All text in great shape!
Softcover, ISBN 0865306540 Publisher: Incentive Publications65306540 Publisher: Incentive Publications, 2007 Softcover. Used - Good Good . Book shows minor use. Cover and Binding have minimal wear, and the pages have only minimal creases. Free State Books. Never settle for less.
Softcover, ISBN 0865306540 Publisher: Incentive Pub, 200765306540 Publisher: Incentive Pub Used - Acceptable. A readable copy. All pages and cover are intact. Dust jacket is torn or missing. The book has moderate to heavy wear. This is a used textbook with light wear. Covers have light edge wear.
Softcover, ISBN 0865306540 Publisher: Incentive Publications, 2007 Used - Acceptable, Usually ships in 1-2 business days, A readable copy. All pages and cover are intact. Dust jacket is torn or missing. The book has moderate to heavy wear. This is a used textbook with light wear. Covers have light edge wear.
| 677.169 | 1 |
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Wolfram SystemModeler: Modeling Safety-Critical Systems
Olle Isaksson
Wolfram SystemModeler can be used to model safety-critical systems. This Wolfram Virtual Conference Spring 2013 talk takes a closer look at an aircraft flap system, showing how component faults can be modeled and how their effects on system behavior can be simulated.
Learn how both Mathematica and Wolfram|Alpha can investigate extensive data about the world. This Wolfram Technologies for STEM Education: Virtual Conference for Education talk demonstrates how using ...
Learn more about Wolfram's Programming for Kids programming curriculum. This Wolfram Technologies for STEM Education: Virtual Conference for Education talk shows how to get students started on programming in the Mathematica
Explore interactive and engaging materials for the classroom enriched by Wolfram|Alpha and the Wolfram Demonstrations Project. This Wolfram Technology for STEM Education: Virtual Conference for Education talk gives more ...
See the Wolfram Language being run on a Raspberry Pi. This Wolfram Technology for STEM Education: Virtual Conference for Education talk goes through several interesting examples using the Wolfram Language ...
See the first public viewing of the revolutionary Wolfram Calculator. This Wolfram Technology for STEM Education: Virtual Conference for Education talk demonstrates the basic functionality as well as the predictive ...
Learn how to design interactive digital material for the classroom. This Wolfram Technology for STEM Education: Virtual Conference for Education talk highlights the Wolfram Demonstrations Project and how teachers can ...
The Wolfram Cloud Platform provides a convenient way to use Mathematica, create and share resources, and collaborate with students and colleagues. This Wolfram Technology for STEM Education: Virtual ...
computerbasedmath.org has been engaged in a fundamental rethink of math education. This Wolfram Technology for STEM Education: Virtual Conference for Education talk shares some of the thinking behind the ...
Learn how to incorporate engaging digital content into physics classrooms with Mathematica, Wolfram|Alpha, and other Wolfram technologies. This Wolfram Technology for STEM Education: Virtual Conference for Education ...
Wolfram technologies are the tools for providing interactive and engaging materials for STEM education. In this video, Conrad Wolfram shares examples and explains why Wolfram is uniquely positioned to be ...
| 677.169 | 1 |
Math for Welders is a combination text and workbook that provides numerous practical exercises designed to allow welding students to apply basic math skills. Major areas of instructional content include whole numbers, common fractions, decimal fractions, measurement, and percentage. Provides answers to odd-numbered practice problems in the back of the text.
Related Subjects
Meet the Author
After graduating from Wayne State University, Mr. Marion invested several years working for Chrysler Canada. He then transitioned to a teaching position at St. Clair College, focusing on math and technical drawing. Mr. Marion used his collective knowledge and experience to author Math for Welders as a career capstone
| 677.169 | 1 |
Calculus : Easy Way - 4th edition
Summary: This ingenious, user-friendly introduction to calculus recounts adventures that take place in the mythical land of Carmorra. As the story's narrator meets Carmorra's citizens, they confront a series of practical problems, and their method of working out solutions employs calculus. As readers follow their adventures, they are introduced to calculating derivatives; finding maximum and minimum points with derivatives; determining derivatives of trigonometric functions; ...show morediscovering and using integrals; working with logarithms, exponential functions, vectors, and Taylor series; using differential equations; and much more. This introduction to calculus presents exercises at the end of each chapter and gives their answers at the back of the book. Step-by-step worksheets with answers are included in the chapters. Computers are used for numerical integration and other tasks. The book also includes graphs, charts, and whimsical line illustrations. Barron's Easy Way books focus on both practical and academic topics, presenting fundamental subject matter in clear, understandable language. Equally popular as self-teaching manuals and supplementary texts for classroom use, they are written to help students improve their grades and review subject matter before tests. They are also useful for introducing general readers to a new career-related skill. Easy Way titles cover virtually all subjects that are taught on advanced high school and college-101 levels. New subjects are periodically added, and existing titles are frequently updated to keep them timely and relevant to students' needs. Subject heads and key phrases are set in a second color
| 677.169 | 1 |
0321209540
9780321209542
Elementary Statistics Using the Graphing Calculator:Elementary Statistics Using the Graphing Calculator is written for the introductory statistics course in which the TI-83 or TI-84 Plus graphing calculator is used. It is appropriate for students majoring in any field, and the use of algebra is minimal, although completion of an elementary algebra course is recommended. The hallmarks of Triola's other texts are present here: a friendly writing style, an abundance of relevant exercises with real data, and an emphasis on interpretation of statistical results. In addition, this text provides TI-83 and TI-84 Plus calculator instructions, screen displays and projects.
| 677.169 | 1 |
Applications of Calculus - 93 edition
Summary: Students see how calculus can explain the structure of a rainbow, guide a robot arm, or analyze the spread of AIDS. Each module starts with a concrete problem and moves on to provide a solution. The discussions are detailed, realistic and pay careful attention to the process of mathematical modeling. Exercises, solutions, and references are provided
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Algebra adds value to mathematical biology education
Jul 30, 2009
As mathematics continues to become an increasingly important component in undergraduate biology programs, a more comprehensive understanding of the use of algebraic models is needed by the next generation of biologists to facilitate new advances in the life sciences, according to researchers at Sweet Briar College and the Virginia Bioinformatics Institute (VBI) at Virginia Tech.
In the paper, "Mathematical Biology Education: Beyond Calculus," which is featured in the July 31, 2009 issue of Science, VBI Professor Reinhard Laubenbacher and Sweet Briar College Mathematical Sciences Professor Raina Robeva highlight algebraic models as one of the diverse mathematical tools needed in the professional development of up-and-coming life scientists. Despite this critical need, the authors explain, algebraic models have played a less substantial role in undergraduate curricula than other methods.
Future generations of biologists will routinely use mathematical and computational approaches to develop and frame hypotheses, design experiments, and analyze results. Sound mathematical models are essential for this purpose and are currently used in the field of systems biology to understand complex biological networks. Two types of mathematical models, in particular, have been successfully used in biology to reproduce network structure and dynamics: Continuous-time models derived from differential equations (DE models) focus on the kinetics of biochemical reactions, while discrete-time algebraic models built from functions of finite-state variables focus on the logic of the connections of network variables. According to Laubenbacher and Robeva, while DE models have been included more often in undergraduate curricula integrating mathematics and biology, algebraic models should also be viewed as an important training component for students at all education levels.
"Discrete-time algebraic models created from finite-state variables, such as Boolean networks, are increasingly being used to model a variety of biochemical networks, including metabolic, gene regulatory, and signal transduction networks," says Laubenbacher. "Often, researchers do not have enough of the information required to build detailed quantitative models. Algebraic models need less information about the system to be modeled, making them useful for instances where quantitative information may be missing. All the work that goes into building them can then be used to construct detailed kinetic models, when additional information becomes available. In addition, algebraic models are much more intuitive than differential equations models, which makes them more easily accessible to life scientists."
Using algebraic models is a relatively quick, easy and reliable way for students to integrate mathematical modeling into their life sciences coursework. Creating algebraic models of biochemical networks requires only a modest mathematical background, which is usually provided in a college algebra course. Without the complexities involved in teaching students how to construct more complicated models, algebraic models make the introduction of mathematical modeling into life sciences courses more accessible for faculty members as well.
According to Robeva, "The exciting thing about algebraic models from an educational perspective is that they highlight aspects of modern-day biology and can easily fit in both the biology and mathematics curricula. At the introductory level, they provide a quick path for introducing biology students to constructing and using mathematical models in the context of contemporary problems such as gene regulation. At the more advanced level, the general study and analysis of such models often require sophisticated mathematical theories. This makes them perfect for inclusion into mathematics courses, where the biology can provide a meaningful framework for many of the abstract structures. As educators, we should actively be looking for the best ways to seize this opportunity for advancing mathematical biology."
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Scientists at the Wake Forest University School of Medicine, the University of Manchester in the United Kingdom, and the Virginia Bioinformatics Institute at Virginia Tech have taken the first steps toward constructing a ...
Four researchers at the Virginia Bioinformatics Institute (VBI) at Virginia Tech and their colleagues at the Wake Forest University School of Medicine are advocating the use of systems biology as an innovative clinical approach ...
Timely, accurate prediction or control of complex phenomena – such as predicating the path of a hurricane or controlling a jet -- is the goal of Serkan Gugercin's National Science Foundation Faculty Early Career Development
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Elementary Statistics - Updated Solution Manual - 10th edition
Summary: Addison-Wesley is proud to celebrate the Tenth Edition of Elementary Statistics. This text is highly regarded because of its engaging and understandable introduction to statistics. The author's commitment to providing student-friendly guidance through the material and giving students opportunities to apply their newly learned skills in a real-world context has made Elementary Statistics the #1 best-seller in the market. Students learning from Elementary Statisti...show morecs should have completed an elementary algebra course. Although formulas and formal procedures can be found throughout the text, the emphasis is on development of statistical literacy and critical thinking. ...show less
some creases to soft covers2007 Paperback Our goal with every sale is custo confidence. Every order is shipped the same day or the next day. This is a used book in good condition and may show some signs of use or wear
| 677.169 | 1 |
College Algebra with Modeling & Visualization
...Read More level with "See the Concept" features, where students make important connections through detailed visualizations that deepen understanding. Rockswold is also known for presenting the concept of a function as a unifying theme, with an emphasis on the rule of four (verbal, graphical, numerical, and symbolic representations). A flexible approach allows instructors to strike their own balance of skills, rule of four, applications, modeling, and technology. 0321900456 / 9780321900456 Algebra and Trigonometry with Modeling & Visualization Plus MyMathLab with Pearson eText - Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321826124 / 9780321826121 Algebra and Trigonometry with Modeling & Visualization
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Where can you find answers for Saxon Math problems?
A:It is common for used texts to be resold, especially among home educators, and the lack of an answer key can be inconvenient. Some online sites provide access to Saxon answers with either free or paid registration. It is important to verify that editions match as problems and formats may be changed slightly in later releases. It may also be possible to find used answer books for sale through auction and second-hand book sites.
Sources:
Similar Questions
It is possible to find geometry answer guides online, but it is important to recognize that as mathematics textbooks are updated, details in problems sometimes change. It is necessary to ensure that the editions match.
Answers to MathXL questions are not independently available because of the computer-based nature of the program. However, supplemental materials and tutoring support may be available through the publisher's website.
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Find a Conyers PrealgebraThis barrier can be broken down in minutes with a common sense explanation. Algebraic math is a major stepping stone to multiple sciences and must be mastered to facilitate future academic progress in the sciences. As algebra skills consolidate, we move toward calculus (differential and integration calculus) which employs extremely powerful math skills
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Calculus Early Vectors
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...Read More in their curriculum. Stewart begins by introducing vectors in Chapter 1, along with their basic operations, such as addition, scalar multiplication, and dot product. The definition of vector functions and parametric curves is given at the end of Chapter 1 using a two-dimensional trajectory of a projectile as motivation. Limits, derivatives, and integrals of vector functions are interwoven throughout the subsequent chapters. As with the other texts in his Calculus series, in Early Vectors Stewart makes us of heuristic examples to reveal calculus to students. His examples stand out because they are not just models for problem solving or a means of demonstrating techniques - they also encourage students to develop an analytic view of the subject. This heuristic or discovery approach in the examples give students an intuitive feeling for analysis.Read Less
Fair. 0534349412 Paperback. All text is legible, may contain markings, cover wear, loose/torn pages or staining and much writing. SKU: 9780534349417-5-0-3 Orders ship the same or next business day. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions. ISBN: 9780534349417
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21, 2014
Easy-to-read, fun format. Well structured to build on concepts
Easy-to-read, fun format. Well structured to build on concepts as presented. One caveat: taking a square root of a negative number IS defined. Early on, dividing by zero is properly presented as "undefined." Unfortunately, in the ROOTS section, the term "undefined" is used to describe taking a square root of a negative number. The biggest example of "defining" a concept is where imaginary numbers came from -- by definition, the square root of -1 is "i" usually represented by a lower-case script letter. One of the best treatments of that in a book catering to this level of a learner was "We'll talk about that later" rather than insetting an absolute that will have to be "unlearned" some time in the future. Not a deal-breaker, as otherwise the book rocks.
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Pre-Statistics Courses
A growing number of colleges have begun piloting alternatives to the traditional 3-4 semester developmental Math sequence. The new courses focus not on a review of Algebra concepts and skills, but instead on preparing students for college-level Statistics.
Pre-Statistics courses emerged from a widespread recognition that the traditional developmental Algebra sequence is not well-aligned with the study of Statistics. If a student is pursuing a major that includes Statistics rather than Calculus (e.g. fields outside of Science, Technology, Engineering, Math, and Business), the majority of what is covered in elementary and intermediate Algebra courses never comes into play in their college-level Math course. The content is not, in fact, pre-requisite knowledge for the study of Statistics.
This misalignment is especially problematic given how many students are lost in long remedial math pipelines. A nationwide study by the Community College Research Center found that among students who begin 3 or more levels below college Math, 90% disappear before ever completing the college-level course.
Los Medanos College was the first in the nation to pilot this kind of course with Path2Stats, a one-semester pathway to college Statistics with no minimum placement score. Rather than proceeding step-by-step though all the topics in the traditional math sequence, Path2Stats students engage in statistical analysis from day one. Basic skills remediation occurs in a "just-in-time" fashion, with students reviewing relevant arithmetic and algebraic skills — e.g. calculating percentages, converting ounces to grams — as they are needed for the statistical tasks at hand. Path2Stats students complete college Math at dramatically higher rates that students with comparable starting placements in the traditional sequence.
In 2011-12, 7 community colleges are working with the California Acceleration Project to offer redesigned pre-Statistics Courses. They include Diablo Valley College, Cuyamaca College, City College of San Francisco, College of the Canyons, Riverside City College, Moreno Valley College, and Berkeley City College (See video footage of CCSF students talking about their experience.) Some of these courses are open-access; others have arithmetic/pre-Algebra prerequisites.
Nationwide, an additional 19 community colleges and 3 state universities are part of the Statway initiative, led by the Carnegie Foundation for the Advancement of Teaching: "a one-year pathway that culminates in college-level statistics…with requisite arithmetic and algebraic concepts taught and applied in the context of statistics."
Classroom video: Los Medanos Developmental Math Students Discover an Error in a National Statistics Exam
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Basic College Math (Looseleaf) (New) - 2nd edition
Summary: Basic College Mathematicsoffers a refreshing approach to the traditional content of the course. Presented in worktext format,Basic College Mathematicsfocuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features dev...show moreeloped to address the specific needs of developmental level students. . ...show less
Edition/Copyright:2ND 10 Cover: Other Format Publisher:McGraw-Hill Publishing Company Year Published: 2010
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Let our reviews be your formula for success this semester!
Each review is designed to prepare you for your quantitative course at UB by reviewing the necessary mathematical skills required for a good foundation in that course. All reviews are taught by ALC Math Coordinator Yoosef Khadem.
You can participate in person or online through our virtual classroom. To reserve an in-person seat, RSVP through UB's web calendar. If you're interested in joining us online, contact the ALC for more information.
Review for MATH 100: Pre-Algebra and Elementary Algebra
If you're enrolled in UB's Foundational Mathematics (MATH 100), prepare to do your best with this two part review of pre-algebra and elementary algebra skills. [Recordings and handout will be available after Feb. 20]
Review for MATH 111: Intermediate Algebra
If you're enrolled in UB's College Algebra (MATH 111), brush up on your algebra skills with this free review of prerequisite skills designed just for your class. [Recordings and handout will be available after Feb. 20]
Review for MATH 115: Algebra for Introductory Statistics
If you're enrolled in UB's Introductory Statistics (MATH 115), review the algebra you'll need for this introductory statistics class. See how algebra will be used and get acquainted with common symbols used in statistics. Included will be a review of order of operations, square roots, exponents and evaluating formulas. We'll also review how to use the scientific calculator. [Recordings and handout will be available after Feb. 20]
Preparation for HSMG 632: Introduction to Biostatistics
If you're enrolled in Biostatistics (HSMG 632), this review will get you off to a good start. You'll brush up on decimals and percentages as well as learn how to evaluate formulas using either a scientific calculator or Excel. [Recordings and handout will be available after Feb. 20]
Review for PUAD 628: Introductory Statistics
If you're enrolled in Statistical Applications in Public Administration (PUAD 628), this class will provide a good start for quantitative analysis. Topics will include basic formula evaluation with a scientific calculator as well as a review of algebra required for statistical data analysis. Students will learn basic statistics definitions. [Recordings and handout will be available after Feb. 20]
Review for OPRE 315: Algebra with Applications
If you're enrolled in UB's Business Applications of Decision Science (OPRE 315), take advantage of this free review of prerequisite skills. Topics will include solving and graphing linear equations and linear inequalities, solving two equations with two unknowns and formulating basic word problems. [Recordings and handout will be available after Feb. 20]
Preparation for OPRE 202/505: Introductory Statistics
If you're enrolled in either Statistical Data Analysis (OPRE 202) or Data Analysis and Decisions (OPRE 505), take advantage of this free review of introductory statistics. Topics will include basic probability, calculating measures of location and variation, working with normal distribution and calculating probabilities using the normal curve. [Recordings and handout will be available after Feb. 20]
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Discrete Mathematics
9780131593183
ISBN:
0131593188
Edition: 7 Pub Date: 2008 Publisher: Prentice Hall
Summary: This textbook provides an accessible introduction to discrete mathematics, using an algorithmic approach that focuses on problem-solving techniques. Each chapter has a special section dedicated to showing students how to attack and solve problems.
Johnsonbaugh, Richard is the author of Discrete Mathematics, published 2008 under ISBN 9780131593183 and 0131593188. Six hundred forty two Discrete Mathematics tex...tbooks are available for sale on ValoreBooks.com, sixty five used from the cheapest price of $103.35, or buy new starting at $157.43
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2014 Books Gift Guide for Children & Teens
Browse our featured books to find gift ideas for the boys or girls on your holiday shopping list this year!
This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.
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1. Introduction and Background - Presents some fundamental notions of computation theory and quantum physics that will form the basis of what follows.
2. Linear Algebra and the Dirac Notation - Familiarizes the reader with the algebraic notation used in quantum mechanics, reminds the reader of some basic facts about complex vector spaces, and introduces some notions that may not have been covered in an elementary linear algebra course.
3. Qubits and the Framework of quantum Mechanics - Introduces the framework of quantum mechanics as it pertains to the types of systems that are considered in the book. Here the author also introduces the notion of a quantum bit or "qubit", which is a fundamental concept in quantum computing.
4. A Quantum Model of Computation - The circuit model of classical computation can be generalized to a model of quantum circuits. In such a model you have logical qubits carried along "wires" and quantum gates that act on the qubits. For convenience, the discussion is limited to unitary quantum gates.
5. Superdense Coding and Quantum Teleportation - Looks at our first protocols for quantum information. Examines two communication protocols that can be implemented using the tools which can be implemented using the tools developed in previous chapters. These protocols are known as superdense coding and quantum teleportation. Both of these are inherently quantum - there are no classical protocols that behave in the same way as these.
6. Introductory Quantum Algorithms - Describes some of the early quantum algorithms that are simple and illustrate the main ingredients behind the more useful and powerful quantum algorithms described in subsequent chapters. Since quantum algorithms share some features with classical probabilistic algorithms, the chapter starts with a comparison of the two algorithmic paradigms.
7. Algorithms with Superpolynomial Speed-Up - Examines one of two main classes of algorithms: quantum algorithms that solve problems with a complexity that is superpolynomially less than the complexity of the best-known classical algorithm for the same problem. That is, the complexity of the best-known classical algorithm cannot be bounded above by any poynomial in the complexity of the quantum algorithm. The chapter starts off by studying the problem of quantum phase estimation, which leads naturally to the Quantum Fourier Transform (QFT).
8. Algorithms Based on Amplitude Amplification - Discusses a broadly applicable quantum algorithm - quantum search - that provides a polynomial speed-up over the best-known classical algorithms for a wide class of important problems.
9. Quantum Computational Complexity Theory and Lower Bounds - Quantum computers seem to be more powerful than classical computers for certain problems. However, there are limits on the power of quantum computers. Since a classical computer can simulate a quantum one, a quantum computer can only compute the same set of functions that a classical computer can. This chapter examines this and some related issues.
10. Quantum Error Correction - Quantum computers are more susceptible to errors than classical digital computers because quantum mechanical systems are more delicate and more difficult to control. If large-scale quantum computers are to be possible, a theory of quantum error correction is needed. This is the issue discussed in this chapter.
Overall, I found this book well suited to self-study, particularly for someone with an engineering background. Highly recommended.
15 of 18 people found the following review helpful
Great bookJune 8 2007
By
C. Chiang
- Published on Amazon.com
Format: Paperback
For a beginner like me, I think this is a great book. I used to spend lots of time on N+C book but still got confused.
This introduction to Quantum computing book has lots of illustrations explaining how things are done step by step inside those complicated algorithms. If you study on your own with this book, there should be no problem. Then you can go back to review N+C's book and things would be much more clear.
4 of 5 people found the following review helpful
Great scientific book - make sure you have the backgroundMay 28 2010
By
Auke
- Published on Amazon.com
Format: Paperback
This is definitely a great book on a mysterious topic. Make sure you have the right background: you need to know something about complex (as in "complex plane", not "complicated") linear algebra (phrases like hermitean, orthonormal basis and schmidt decomposition should be a breeze if you really want to understand the raw math), but once you've got that down, this material does not take much more. The book includes a few refreshers on linear algebra just in case. Somewhere halfway through the book the authors basically sum up a list of algorithms which were important at the time of writing, and while most of them still are very useful, you may want to read the latest and greatest on arxiv if you really want to know about the cutting edge material.
The book certainly gives a nice and gentle introduction. But about half through it, I become more and more disappointed: - It is often not clear which theorems and statements are proved and what is merely cited from the literature. This isn't a problem at the beginning, but becomes a source of confusion in the second half of the book. - There is a large bibliography, but as far as I could see, it is very seldom referenced where it would make most sense. - Some statements are really careless. Many algorithms talk about registers without even specifying them. E.g. Simon's algorithm.
1 of 1 people found the following review helpful
Outstanding Introductory TextJuly 11 2011
By
Vincent Russo
- Published on Amazon.com
Format: Paperback
Verified Purchase
If you are attempting to enter the arena of quantum computation, and perhaps need a primer before tackling Nielsen and Chuang's standard text, then I would certainly consider this book. It conveys many of the illusive elements of quantum computation in an extremely clear and concise manner. When I first was getting into quantum computing, this book served as a Rosetta stone for many of the concepts that were at first foreign to me.
Possessing a good knowledge of linear algebra, something that would be covered in a undergraduate course perhaps, is fairly important to ensure you get as much as you can out of reading this text. I've found this book to be an outstanding resource for learning many of the core concepts of quantum computation with an emphasis toward algorithm and circuit design.
The layout of the book is as follows:
1.) Introduction & Background: Here we obtain a high level view of the basics of quantum computation. Specific attention is given to various formulations of the Mach-Zehnder interferometer and how individual photons behave within this device. This lays the framework for the computational aspects related to quantum theory, and also develops enables the reader to develop an intuition early on for some of the topics ahead in the book.
2.) Linear Algebra and the Dirac Notation: This section assumes the reader has a solid background in elementary linear algebra, and builds on top of those concepts. The Dirac notation formalism is presented and described incrementally with lots of good examples and explicit examples. One of the nice things about this book, is that it provides the reader with a
The book progresses to cover important linear algebraic concepts that are integral for comprehending the rest of the text. These include the spectral theorem, POVMs, tensor products, Schmidt decomposition, etc. Along the way, the authors provide examples (without the solutions unfortunately) to many problems to allow the reader to practice what they have read.
3.) Qubits and the Framework of Quantum Mechanics This chapter provides a gentle introduction into the notion of what a qubit is, and how one can visualize it via the Bloch sphere. It also covers how such an entity evolves through time, and how systems consisting of more than one qubit behave. I especially thought steady incline from classical to quantum notions of bit via the Bloch sphere was particularly lucid.
This chapter also consists of the postulates of quantum mechanics presented in a computationally approachable manner. Some of the other mathematical necessities are also presented in this chapter, such as partial trace
4.) A Quantum Model of Computation Here, the prior notions are brought together to consider how one may perform computation on these entities. For instance, the classical/quantum gate and circuit models are compared and contrasted.
5.) Superdense Coding and Quantum Teleportation This chapter is fairly short, but delivers exactly what is says it will. The superdense protocol is conceptually introduced accompanied with an example. Following this is an explanation and application of quantum teleportation. The nice thing about this specific presentation is that a circuit model is pictorially represented for both protocols.
6.) Introductory Quantum Algorithms Here the book considers some of the very well-known quantum algorithms in the literature. Specifically they cover, Deutsch's algorithm followed by the Deutsch-Jozsa and finally Simon's algorithm. This is a natural way that the majority of books approach presenting quantum algorithms since the difficulty level increases for each one.
I personally like the treatment of the Deutsch-Jozsa algorithm compared to many others I've seen in other textbooks on quantum computing. It's accompanied by considering specific cases of the algorithm, which really brings everything into perspective. It was especially helpful to me when I was just starting out.
7.) Algorithms with Superpolynomial Speed-up For those especially interested in quantum algorithms, this chapter is of particular interest. They begin by providing the preliminary tools to approach this topic, quantum Fourier transform and quantum phase estimation, and proceed to a number of interesting algorithms. These range from eigenvalue estimation to the order-finding problem.
8.) Algorithms Based on Amplitude Amplification The most famous quantum algorithm that manipulates amplitude amplification is Grover's algorithm, which is covered in this section. As one may assume from the title, the authors do go into more detail than most other accounts of Grover's algorithm on specifically how amplitude amplification plays a role in the algorithm.
General quantum searching algorithms along with quantum counting are also briefly covered in the last few sections of the chapter.
9.) Quantum Computation Complexity Theory and Lower Bounds For those interested in the theoretical computer science aspects of quantum computing, this chapter serves as a very nice introduction. It is written in mind for someone who has had no prior exposure to such topics, and as a result introduces some of the notions of classical complexity theory before proceeding to the quantum case.
The remainder of the chapter provides a nice overview of where certain problems are to be found in various complexity classes. The chapter is relatively brief, and does not go into a great amount of detail for someone who is more interested on the theoretical side of quantum computing. The chapter is still a very nice overview and synopsis.
10.) Quantum Error Correction The final chapter focuses on fault-tolerant quantum computation. The use and purpose of error-correcting codes are presented along with their quantum counterparts.
Appendices: The appendices contain some further elaboration on the aforementioned topics such as ways to analyze probabilistic algorithms, distinguishing between two quantum states, etc.
Overall, this is an exceptional introductory book on quantum computation. Emphasis is again, toward quantum algorithms and quantum circuits. I'd certainly recommend this text to anyone who wants to gain insight into the world of quantum computation. It has also served as a terrific reference source and is still today one of the best texts on the subject.
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graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics.It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology. (source: Nielsen Book Data)
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I have matrices for my syllabus but I don't know where they find their use. I even asked my teacher but she also has no answer. Can anyone please tell me where they are used?
And please also give me an example of how they are used?
A matrix is a way to express a linear map between finite-dimensional vector spaces, given a choice of bases for said spaces. Since linear maps are useful, matrices are obviously useful.
–
gsprJun 19 '12 at 14:19
33
Also, if the teacher who couldn't answer your question is the same one who is teaching you about matrices, I would be very skeptical of her and the course.
–
gsprJun 19 '12 at 14:21
1
Services like Netflix store information in matrices. When it is deciding what movies to recommend to you, it compares your movie matrix with ones 'similar' to yours, and recommends movies that other users with your preferences also enjoyed. Determining 'orthoganality' is one of the topics you will likely cover.
–
Joshua Shane LibermanJun 19 '12 at 16:18
9
Matrices were invented to have an endless supply of homework for the poor students.
–
Peter SheldrickJun 19 '12 at 19:21
11 Answers
11
I work in the field of applied math, so I will give you the point of view of an applied mathematician.
I do numerical PDEs. Basically, I take a differential equation (an equation whose solution is not a number, but a function, and that involves the functions and its derivatives) and, instead of finding an analytical solution, I try to find an approximation of the value of the solution at some points (think of a grid of points). It's a bit more deep than this, but it's not the point here. The point is that eventually I find myself having to solve a linear system of equations which usually is of huge size (order of millions). It is a pretty huge number of equations to solve, I would say.
Where do matrices come into play? Well, as you know (or maybe not, I don't know) a linear system can be seen in matrix-vector form as
$$\text{A}\underline{x}=\underline{b}$$
where $\underline{x}$ contains the unknowns, A the coefficients of the equations and $\underline{b}$ contains the values of the right hand sides of the equations.
For instance for the system
For what I said so far, in this context matrices look just like a fancy and compact way to write down a system of equations, mere tables of numbers.
However, in order to solve this system fast is not enough to use a calculator with a big RAM and/or a high clock rate (CPU). Of course, the more powerful the calculator is, the faster you will get the solution. But sometimes, faster might still mean days (or more) if you tackle the problem in the wrong way, even if you are on a Blue Gene.
So, to reduce computational cost, you have to come up with a good algorithm, a smart idea. But in order to do so, you need to exploit some property or some structure of your linear system. These properties are encoded somehow in the coefficients of the matrix A. Therefore, studying matrices and their properties is of crucial importance in trying to improve linear solvers efficiency. Recognizing that the matrix enjoys a particular property might be crucial to develop a fast algorithm or even to prove that a solution exists, or that the solution has some nice property.
Just giving a quick look to the matrix, I can claim that this system has a solution and, moreover, the solution is non-negative (meaning that all the components of the solution are non-negative). I'm pretty sure you wouldn't be able to draw this conclusion just looking at the system without trying to solve it. I can also claim that to solve this system you need only 25 operations (one operation being a single addition/subtraction/division/multiplication). If you construct a larger system with the same pattern (2 on the diagonal, -1 on the upper and lower diagonal) and put a right hand side with only positive entries, I can still claim that the solution exists and it's positive and the number of operations needed to solve it is only $8n-7$, where $n$ is the size of the system.
Moreover, people already pointed out other fields where matrices are important bricks and plays an important role. I hope this thread gave you an idea of why it is worth it to study matrices. =)
Matrices are a useful way to represent, manipulate and study linear maps between finite dimensional vector spaces (if you have chosen basis).
Matrices can also represent quadratic forms (it's useful, for example, in analysis to study hessian matrices, which help us to study the behavior of critical points).
So, it's a useful tool of linear algebra.
Moreover, linear algebra is a crucial tool in math.
To convince yourself, there are a lot of linear problems you can study with little knowledge in math. For examples, system of linear equations, some error-correcting codes (linear codes), linear differential equations, linear recurrence sequences...
I also think that linear algebra is a natural framework of quantum mechanics.
"Linear algebra is useful" is a bit of an understatement. To the extent of my knowledge, linear algebra is a crucial tool in literally every branch of science, engineering, and mathematics.
–
Qiaochu YuanJun 19 '12 at 14:36
2
Indeed, but I'm not good enough in English to clarify some nuances. I edited the answer with your words ;-).
–
JBCJun 19 '12 at 14:43
Graph Theory --loosely, the study of connect-the-dot figures-- uses matrices to encode adjacency and incidence structures. More than simply bookkeeping, however, the matrices have computational uses. From powers of the adjacency matrix, for a simple example, one can read the number of available paths between any two dots.
"Spectral" Graph Theory derives graph-theoretical information from matrix-theoretical results (specifically, "eigenvalues" and "eigenvectors" --by the way, the set of eigenvalues is the "spectrum" of a matrix, hence "spectral"-- which come from the linear map interpretation of matrices). My own work generates coordinates for "symmetric" geometric realizations of graphs --think Platonic and Archimedean solids-- from this kind of analysis of their adjacency matrices.
Matrices are a useful tool for studying finite groups. Every finite group has a representation as a set of invertible matrices; the study of such representations is called, well, Representation Theory.
One of the major theorems of all time in finite group theory is the classification of all finite simple groups. These are the building blocks of group theory, the group-theoretic version of prime numbers. The "proof" took scores of mathematicians many decades, and could not have been completed without viewing these groups as groups of matrices. One just has to open the ATLAS of Finite Groups, or wonder what a group of Lie type is, to get my point!
(Of course, linear algebra is exceptionally useful etc. etc. but that is a topic better covered by an engineer...)
In the most general sense, matrices (and a very important special case of matrices, vectors) provide a way to generalize from single variable equations to equations with arbitrarily many variables. Some of the rules change along the way, hence the importance of learning about matrices - more precisely, learning Linear Algebra, or the algebra of matrices.
Matrices are used very often in 3D geometry (e.g. computer graphics) and are very powerful. A simple 4x4 matrix can represent a lot of transformations at once (translation, rotation, scaling, perspective/orthogonal projection). You can then multiply a 3D position vector (x, y, z, 1) by this matrix to obtain a new position with all the trasformations applied. Notice that this vector is also a 1x4 matrix (although the position is in 3D, the fourth component is added to make the multiplication possible and allow for the projection transformation, if you want to know more read about homogeneous coordinates). Similar ideas can be used in 2D or even in higher dimensions like 4D.
I know and use matrices for two things: systems of equations and holding data in programming.
As @bartgol said, matrices in math are useful for solving systems of equations. You arrange all the equations in standard form and make a matrix of their coefficients, making sure to use 0s as placeholders (like if there isn't an x term). We call this matrix A. Then make a second matrix of the constants and call it B. It will be one term wide (long).
Plug these into your calculator and then evaluate (A^-1)*(B). The resulting matrix, if there is a solution, will solve for each variable. The first row is x, the second y and so on.
I've also used two-dimensional arrays in programming (C++, Java) to help store information that just makes sense to be in matrix-form. For example: one program generated magic squares which were stored in a matrix. Another used a 3-by-3 to keep track of spaces on a tic-tac-toe board.
I never fully got matrices until I left university. I am glad I understand now.
A good quality camera will save the captured image uncorrected, along with a 3x3 colour correction matrix. Your computer will multiply this with the colour correction matrix of your display, and then by every pixel in the image before putting in on your display. The computer will use a different display matrix for the printer (as it is a different display).
Look at several real world examples. Experiment with colour or 2D/3D transformations, they are fun and visual (if you are a visual person). 2D is easiest and most visual.
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Foundations of Geometry - 09 edition
Summary: Geared toward students preparing to teach high school mathematics, this text is also of value to professionals, as well as to students seeking further background in geometry. It explores the principles of Euclidean and non-Euclidean geometry, and it instructs readers in both generalities and specifics of the axiomatic method. 1964 edition.76
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Introductory Algebra
Browse related Subjects
...Read More current, relevant applications and problems.Introductory Algebra, Eighth Edition, is a significant revision of the seventh edition, especially with respect to design, an all-new art program, pedagogy, and an enhanced supplements package. Its unique approach, which has been developed and refined over many years, is designed to help students both learn and retain mathematical skills. This new edition will continue to help today's students through the effective use of full color and updated applications. As part of MathMax, a comprehensive and well-integrated supplements package accompanies the text, providing maximum support for instructors and students alike.Read Less
Good. Paperback. May include moderately worn cover, writing, markings or slight discoloration. SKU: 97803218679Very good. Paperback. Has minor wear and/or markings. SKU: 97803218679
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Feel free to drop in whenever my door is open, or make an appointment
Regular hours: MWF 11am-noon and 2-4pm; Tues 9am-noon
Text
Custom version of Linear Algebra with Applications by Gareth Williams
(available at Amherst Books and on reserve in Merrill Science Library)
Course goals:
Become proficient in matrix manipulations as well as the linear algebra theory
Learn to write proofs involving essential concepts in linear algebra
Learn some applications of linear algebra and how to apply its ideas
Learn the "language" of linear algebra and how to communicate your mathematical ideas correctly
Linear algebra provides an elegant framework on which more advanced mathematics is built, so this course can be a great stepping stone to prepare you for further mathematics courses, as well as preparing you to use the ideas of linear algebra in other disciplines like economics or physics.
Attendance: You are
to be in class and to be there on time. Cooperative learning is more
effective
and more fun than struggling through material on your own.
If you do
miss a lecture, it is your responsibility to obtain the material that
you
missed and to get your assignments handed in to me.
Questions:
If you
have a question during lecture, please raise your hand and ask it right
away.
Chances are that other students are wondering the same thing. If a
question
arises later, feel free to visit my office and we'll work through
sample
problems until you are comfortable with the mathematics.Always feel free to ask me to slow down
as well.
Grading:Your course grade will be based on
three in-class exams (50% total), homework/worksheets/labs/projects (25%), and the final exam
(25%).
Intellectual Responsibility
If you are unsure what agrees or
does not agree with the precepts of intellectual responsibility in this
course, feel free to talk to me about it.
Exams. Your work must be entirely your own, so
please follow the guidelines of the honor code. Unless I explicitly
allow other aids, you are only allowed whatever implements you need to
read and write (no notes or calculators or electronic devices). Please turn off your
cell phone in kindness to your fellow test-takers.
Labs. Sending or receiving a copy of a Mathematica file that contains student work violates the honor code and will be treated as plagiarism. You may talk with others about strategies for solving a problem in Mathematica, but please do not share files.
Homework. You may study with other students
following these guidelines:
If you worked with or received help
from any source other than me, you should put a note on the front of
your homework saying, "I worked with <names>."Make sure your name stands out as the author of your
homework.
Working together does not mean that
one of you does the first half of the homework set and the other does
the second. Everyone should work on every problem.
Each student must hand in his or her
own problem set. You may not hand in a single packet as the work of
multiple people.
Do not copy someone else's
solution—you will not learn anything and it is plagiarism.You may discuss problems with others, but then you must be
able to work out the solution on your own again and write it down
yourself.
Homework Guidelines
All problem sets are due at THE
START OF CLASS.Late homework will receive half credit for homework handed
in after start of class but within 2 class days (e.g., homework due
Monday will get half-credit if handed in after the start of class on
Monday through Wednesday start of class, and will not accepted after
that).
If you are unable to attend class due
to illness or an emergency, let me know as soon as you can and we will
work out an appropriate schedule for assignments.
Your name should be written on all
sheets handed in.
Problem solutions must be written out
in the order they were assigned.
Where appropriate, please box or
highlight final answers.In general, try
to make your answers readable and easy to find.Always
keep the grader happy!
As mentioned elsewhere, no copying!
Exam Advice
Organize important definitions, theorems, and methods into a sheet and make sure you have them memorized. Start preparing and memorizing the items on this sheet well in advance of the exam so you have them in long-term memory (and not just short-term memory, which is less reliable under exam pressure).
After reviewing the material and working some review problems, take the practice exam under exam-like conditions, without notes or the text and in the same room, if possible, as the exam itself. Memory recall can be strongest when you are physically in the same location as where you learned it or used it, and taking exams has been found to increase performance on the next similar exam. So use these facts to your advantage!
Be aware of psychological influences like stereotype threat. If you think about reasons you won't do well or even about negative stereotypes that may apply to you, your exam performance can be detrimentally affected. Instead spend the ten minutes before an exam reviewing your past successes with math or other exams. Write down your concerns and thoughts, and then think about some positive reasons for why you will nail this exam, including running through some of the important ideas you have memorized. These strategies can prime your brain for optimal performance on the exam.
Course Resources:
Don't struggle alone! You have many options for
getting help
with this course.
Me. Feel free to come to my office hours,
make an appointment by email or phone, or simply try stopping by my
office—you are welcome whenever my door is open.If
you have some anxiety about taking math exams, please come see me and
we can work together on building your math confidence.
Homework.Although the practice problems are not
graded, please work through them.Mathematics
is learned ACTIVELY, not passively.You
can't absorb math through listening or reading, even if you think you
understand it all.
Textbook. I won't go over everything that is
contained in the text, and I will try to avoid doing the same examples.Hence your textbook in an important
independent source of information and you should read it!
Lecture notes. Reviewing the notes you take in lecture
will give you a chance to see the material again after you have had
some time to assimilate it.
Your classmates. Discussing math with others can help you
think through the concepts.Explaining an
idea you already understand will deepen your comprehension, and for the
concepts that you don't understand well, the explanation of a peer may
be more helpful than mine or the textbook's.
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Precalculus : Funcations and Graphs - 4th edition
Summary: Dugopolski'sPrecalculus: Functions and Graphs, Fourth Edition, gives you the essential strategies you need to make the transition to calculus. Throughout this book, you will find carefully placed learning aids and review tools to help them learn the math without getting distracted. The new edition includes over 900 additional exercises that are specifically designed to increase student understanding and retention of the concepts. Along the way, you'll see how the algebra conne...show morects to your future calculus course, with tools like Foreshadowing Calculus and Concepts of Calculus. Dugopolski's emphasis on problem solving and critical thinking helps you be successful in this course, as well as in future calculus89431 -used book - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front or back
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| 677.169 | 1 |
Applications of Calculus - 93 edition
Summary: Students see how calculus can explain the structure of a rainbow, guide a robot arm, or analyze the spread of AIDS. Each module starts with a concrete problem and moves on to provide a solution. The discussions are detailed, realistic and pay careful attention to the process of mathematical modeling. Exercises, solutions, and references are provided.
1996 Paperback First Edition Like New A nearly new copy: firm, clean, square and tight with no underlining or splits
| 677.169 | 1 |
Paperback
Click on the Google Preview image above to read some pages of this book!
The Essential VCE Mathematics series has a reputation for mathematical excellence, with an approach developed over many years by a highly regarded author team of practising teachers and mathematicians. This approach encourages understanding through a wealth of examples and exercises, with an emphasis on VCE examination-style questions. New in the enhanced versions: * TI-Nspire OS3 and Casio ClassPad calculator explanations, examples and problems are integrated into the text. * Page numbers in the printed text reflect the previous TI-nspire and Casio ClassPad version allowing for continuity and compatibility. * Digital versions of the student text are available in Interactive HTML and PDF formats through Cambridge GO.
Includes Cambridge GO
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Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus at school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate the new ideas are related to school topics and are used to extend the reader's understanding of those topics. A first course in analysis at college is always regarded as one of the hardest in the curriculum. However, in this book the reader is led carefully through every step in such a way that he/she will soon be predicting the next step for him/herself. In this way the subject is developed naturally: students will end up not only understanding analysis, but also enjoying it.
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
12 reviews
73 of 75 people found the following review helpful
Exposes Mathematical Analysis Without Set Theory Background9 July 2001
By
Rahman
- Published on Amazon.com
Format: Paperback
Mathematical analysis is a refinement of calculus, and a pathway into further branches of mathematics, including topology and advanced topics in algebra. Analysis, however, may not seem to be at all related to calculus at its initial stages. An introductory course on analysis can render an unprepared student, even with experience in other branches of mathematics, perplexed and challenged to an extreme. Only later in the analysis course are even the most basic topics of calculus introduced. One of the most important considerations prior to taking an analysis course is the level of background and understanding of mathematical logic. Set theory, a branch of mathematical logic, is in fact the basis of calculus as well. Due to an emphasis upon computations, however, the highest grades in calculus are possible without understanding, or even knowing of, this underlying foundation. This work is unique among those introducing analysis, in that it does not require a background in set theory. It in fact teaches numerous fundamental concepts of set theory, without stating that it is doing so. Examples provided are based on daily concrete experience, yet are altered for purposes of mathematical instruction. These descriptions are sufficiently general as to prepare the reader for when formal set theory is introduced in more rigorous textbooks. In addition to being an extremely readable and accessible work, solutions and hints are provided for every review question for every section of the book. This is in stark contrast to textbooks on the subject, which, while costing several times more, are typically designed for a classroom setting, and so leave all questions unanswered. This self-testing of the understanding of each section is crucial for subject matter requiring such attention to detail and precision. The numerous illustrations throughout the book are rendered clearly and with instructional purpose, yet are often drawn by hand, adding to the sense of familiarity with the author. All of the basic subject matter for a course on analysis is provided, yet has been specifically tailored for a reader in the stages of preparation, of review after completion, or one who is simply inquisitive as to what is required to comprehend analysis successfully. The softcover edition is durable and portable, and the book remains in excellent condition through numerous readings, which it will almost certainly go through. If you have been required to take an analysis class but left it with only a vague sense of its underpinnings, you may wish to go through this work when time permits. For the price of the book, the information and instruction provided is truly outstanding. This text receives the highest marks in all categories.
19 of 19 people found the following review helpful
Great Introduction21 Dec 2002
By
James M. Cargal
- Published on Amazon.com
Format: Paperback
This is a text for Real Analysis at the Junior Level (American university level). It goes to extreme lengths to make analysis understandable to people who have no prior exposure. The organization is good. Completeness is introduced early as (the "piggy in the middle"). Proofs are written in detail with fill-in-the-blank spots to force the reader to follow the argument. It has good exercises making it an easy book to teach out of. Excellent for the absolute beginner. Good candidate for the classroom.
18 of 20 people found the following review helpful
Outstanding introduction to advanced mathematics27 Aug 1999
By
Carl Mclaren
- Published on Amazon.com
Format: Paperback
While there have been countless introductions to mathematical analysis (calculus) this is my favorite. The author does a brilliant job of making the subject matter interesting and very understandable with excellent exercises along the way which have solutions in the back ! A must read for bright highschool seniors and college freshman that are taking calculus or will be.
8 of 8 people found the following review helpful
Yet Another Good Text from Victor Bryant - Great for Self-Tutorial Purposes7 Mar 2008
By
Michael Wischmeyer
- Published on Amazon.com
Format: Paperback
Victor Bryant's informal, conversational text, Yet Another Introduction to Analysis, offers an engaging, well-motivated introduction to real analysis, but it is not a full substitute for a more formal, more axiomatically structured approach. However, Bryant's text is a great companion text, and is especially suitable for self-tutoring purposes, or as pre-read prior to taking that first rigorous analysis class. The reader need only be familiar with first year calculus.
As is so often said, mathematics is not a spectator sport, and Bryant clearly expects his readers to work the problem sets; the text frequently makes direct use of the results of previous problems. Bryant provides full solutions to nearly every problem, another reason why this book is so good for self-study. (The solutions section is 67 pages.) Bryant's problems were rarely difficult or overly time consuming, and are most notable for clarifying key points in the text.
Bryant begins with a brief examination of real numbers, looking at why the irrational numbers so out number the rational ones. (The completeness axiom is introduced in the short first chapter.) I particularly enjoyed the next section, Bryant's examination of whether a series converges or not and ways to determine the sum of an infinite series. (I had not previously been all that interested in the study of series, but Bryant's approach peaked my interest. I have now purchased a more advanced Dover reprint, Infinite Series by James M. Hyslop, for follow-up reading.)
A longer section examines the familiar concept of a function from various perspectives, using the inverse relationship between exp and the log as one of the key examples. The final two chapters focus on a primary topic of analysis, the basic theorems of differentiation and integration. Familiarity with partial differentiation and multiple integration is not needed.
Some readers may find Bryant's conversational approach to be too wordy and occasionally digressive, but I personally enjoy his leisurely style. I also recommend Bryant's short text titled Metric Spaces, Iteration and Application, published by Cambridge University Press.
Another good choice is Maxwell Rosenlicht's Introduction to Analysis, available in an inexpensive Dover edition. It offers a more traditional, structured approach to analysis that is suitable either as follow-up to Yet Another Introduction to Analysis, or as a stand-alone self-tutorial text. Although Rosenlicht's text emphasizes generality and abstraction to a greater extent, it is still more concrete and less terse than many standard texts on real analysis.
12 of 13 people found the following review helpful
Basic Real Analysis unleashed22 Oct 2001
By
Amazon Customer
- Published on Amazon.com
Format: Paperback
Bryant builds the basic concepts of a first course in mathematical analysis upon the notion of numerical sequences. This approach gives an unified vision and amazing insights. Infinite series, limits, derivatives, Riemann integral are studied in an integrated vision. Clear ideas, illustrations and humor are found across all its pages. Good and illuminating exercises, too. An excellent introduction to basic real analysis.
| 677.169 | 1 |
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Using Spreadsheets in Mathematics Education. ERIC Digest.
"Spreadsheets build an ideal bridge between arithmetic and algebra and allow
the student free movement between the two worlds. Students look for patterns,
construct algebraic expressions, generalize concepts, justify conjectures, and
establish the equivalence of two models as intrinsic and meaningful needs rather
than as arbitrary requirements posed by the teacher." (Friedlander, 1998, p.
383)
Electronic spreadsheets have been created and used mainly as tools for
mathematical and statistical calculations, as numerical or textual data can be
inserted into their columns and rows (
~kissane/spreadsheets.htm). So, being able to manage spreadsheets has become one
of the skills sought for anybody in this technologically enhanced millennium.
Therefore, spreadsheets have become an important part of many different
curriculums at different levels of education. Moreover, they have been used in
education, especially mathematics education, as a tool in helping students
understand mathematical concepts such as plotting and exploring functions and
patterns, exploring probability and statistics, mathematical modeling, and
geometric transformations (
.net/treasures/math/spreadsheet/default.htm). Relationships among different
types of representations such as tables, equations and graphs are more easily
comprehendible when all representations are visible at once and linked to each
other, i.e. when one makes a change in one representation, corresponding changes
in other representations are offered by the program. Moreover, spreadsheets
allow students to focus on the mathematical reasoning by freeing them from the
burden of calculations and algebraic manipulations.
Educational research supports the use of spreadsheets both in K-12 and
teacher education and in professional development. Abramovich and Nabors (1997)
describe how using spreadsheets helped seventh grade algebra students develop
problem-solving skills. Molyneux-Hodgson et. al (1999) states that the results
of their study "suggest the possibility of enhancing students' capability to
shift between a wider range of representations using the modeling approach
embedded in computer environments such as a spreadsheet" (p.1). Dudgale (1994)
reports a project that involved experienced K-12 teachers in mathematical
modeling and problem solving using spreadsheets and concludes that teachers
developed models that exhibited a wide variety of mathematics topics and
approaches in different grade levels.
National Council of Teachers of Mathematics (NCTM, 2000) suggests that
"students in grades 3-5 should also become familiar with technological tools
such as dynamic geometry software and spreadsheets. They should learn to set up
a simple spreadsheet and use it to pose and solve problems, examine data, and
investigate patterns" (p. 207). The use of spreadsheets for higher grade levels
is also advocated by NCTM (2000): "The expanded class of functions available to
high school students for mathematical modeling should provide them with a
versatile and powerful means for analyzing and describing their world. With
utilities for symbol manipulation, graphing, and curve fitting and with
programmable software and spreadsheets to represent iterative processes,
students can model and analyze a wide range of phenomena" (p. 297). NCTM
published two books on the use of spreadsheets:
"How
To Use the Spreadsheet as a Tool in the Secondary School Mathematics Classroom."
[Second Edition (for Windows and Macintosh Operating Systems)] by William J
Masalski.
This book and accompanying two computer disks, one for Windows and one for
Macintosh Operating Systems, presents 30 activities illustrating how computer
spreadsheets can be used in the secondary school mathematics classroom.
"Spreadsheet
Activities in Middle School Mathematics" by John Russell.
This book creates a problem-solving environment for middle grade students
using the computerized spreadsheet. It offers instructional ideas and activities
on number patterns, basic arithmetic, word problems, percents and probability.
WORLD WIDE WEB RESOURCES ON SPREADSHEETS IN MATHEMATICS
EDUCATION
Spreadsheets, Mathematics, Science, and Statistics Education by
Erich Neuwirth Presents
information about spreadsheets with an emphasis on mathematics and statistics
education. Includes spreadsheets in education; recommended books; papers about
spreadsheets in scientific journals and books; example spreadsheets and projects
(mostly excel 5.0); and further resources for spreadsheets in education on the
Internet.
Spreadsheets in the Math Class
Discusses
NCTM's position statements on technology, the definition of and benefits of
using a spreadsheet, data analysis ideas from the real world, and sample
activities to introduce spreadsheets to students.
Spreadsheet Projects for the Middle School Math Curriculum
Lists the advantages of
the spreadsheets and stages in working with spreadsheets. Presents a seventh
grade spreadsheet unit, independent short projects, interdisciplinary projects,
and references on the use of spreadsheets in the mathematics classroom.
Resources for Mathematics Educators: Spreadsheets in Mathematics
Discusses the
benefits of using spreadsheets in mathematics teaching and some of the
particular areas in which spreadsheets can be useful in teaching and learning
math. Provides a list of web sites that provide information on using
spreadsheets in mathematics classrooms.
Spreadsheets in Mathematics
Discusses the
reasons for using spreadsheets in math classrooms. Provides information on how
to create a spreadsheet, enter data, copy cells and formulas, and graph.
Presents problem sets for elementary, middle, and high school mathematics.
The Use of Spreadsheets in Mathematics Teaching
This essay discusses the
possible application of spreadsheets in an Indonesian curriculum setting. It
also highlights the advantages and disadvantages of utilizing spreadsheets in
school mathematics.
Spreadsheet-Based Tool Kit For Modeling Concepts In Elementary Number Theory
by Sergei Abramovich and Andrew Brantlinger
This paper presents pedagogical ideas
concerning the use of a spreadsheet- based tool kit for modeling several
structures and concepts in elementary number theory such as Pythagorean triples,
sums of perfect powers, multiple representations of integers, the Euclidean
algorithm, and the Euler phi-function.
REFERENCES
Abramovich, S. and Nabors, W. (1997).
Spreadsheets as generators of new meanings in middle school algebra. "Computers
in the Schools," 13(1-2), 13-25
| 677.169 | 1 |
A collection of essays attacking commonly accepted mathematical, scientific and metaphysical notions that are impeding the progress of the human race. In particular the infinite is expunged from mathematics and science, materialism and atheism shown to be irrational, and sages of the past critiqued for totalitarian sentiments. The theories of Newton, Einstein and Aristotle are critiqued.
The theory of arguments is developed as it was actually practiced by the early Greek probabilists. It is then illustrated by a number of examples of actual arguments. How does one handle facts, simple or complex, introduced by one's opponent in an argument? How can one use antitheses and reversals in an argument? How does one handle analogies, or slippery slope arguments, or dilemmas?
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 concise article of thirty pages takes you on a short tour on how to write small programs using MATLAB. The presentation covers both script files and function files. Several programming constructs are illustrated with simple examples. Loops are discussed using the For and While loops, while decisions are implemented using the If Else and Switch Case constructs.
Time Travel is the companion book to Mindkind: Math & Physics for the New Millennium. There we are provided with a new math and physics to carry us forward into the future. In Time Travel, we go back in time to take an insightful look at ancient civilizations and the science and mathematics they used.
This tutorial is intended to help readers do four things: (1) Decide if their data gathering activity can yield numerical data that will permit a meaningful hypothesis test. (2) If it will, decide any of the tests described would be useful. (3) If so, apply that test, and (4) Adequately explain the results.
Mathematical Formulas for Economics and Business: A Simple Introduction includes over 100 formulas in the field, alongside relevant definitions and explanations. The formulas cover the areas of supply and demand, market equilibrium, non-linear functions, financial mathematics, differentiation, functions of several variables, integration, and matrix algebra.
This book comprises many mathematical problems suggested by the author to help the prospective contestants preparing for the Mathematical Olympiad competitions around the world as well as the general audience to learn the concepts and foundations of higher mathematics.
These problems are made and tailored in such a way to parallel those used in the past international and national competitions.
Updated and revised edition of the most popular "cheating" guide to statistics! Everything you need to get you through elementary statistics. Expanded t-tests, f-tests and hypothesis testing sections, plus everything from calculating standard deviations to chi-square tests.
There are some difficulties to overcome in order to convince persons that the subject of this book is worth knowing something about. George Boole's theory of probability has had an extremely bad press for more than 100 years. It has almost universally been considered to be too complicated to understand, too difficult to calculate, and wrong in addition.
Mathematics Principles Teachers Pack
Winning big is the ultimate dream of every punter. Over time, silver bullets have been claimed and refuted. Reputations forged and lost. Fortunes won and lost.
Amongst the fluoro chips, glitzy neon lights, permed-up showgirls and Cuban cigars sits a humble mathematician. Having quietly gone about his roulette strategy for 40 years, now is the time, he decides, to release it to the world.
| 677.169 | 1 |
Free Physics Formulas1.0.0.0
A compact application that allows students and other users to learn various physics and mathematics formulas from multiple categories
2 Screenshots
Free Physics Formulas is designed to provide you with multiple formulas in order to easily learn physics or trigonometry for your exams. The formulas are displayed in a separate window which can be resized when you need to read all the details.
You can use this app to learn the Greek symbols used in physics, the definitions of the main trigonometric functions or the formulas used in thermodynamics and mechanics.
| 677.169 | 1 |
The most helpful favourable review
The most helpful critical review
3 of 3 people found the following review helpful
5.0 out of 5 starsGreat workbook !!!
This book really helps for high school and college levels. But don't bother to buy the kindle version though, the paperback is much better since you can practice all of the calculation straightaway.
The delivery was fast and satisfying.
If there is gonna be a second workbook, I think I'm gonna buy it.
Published 20 months ago by Matt Bushbee
3 of 3 people found the following review helpful
3.0 out of 5 starsGood for revision, but not great to learn from...
testing yourself, but definitely not my first choice of book to introduce new topics.
I bought this for my kindle. As I had to flick from the question to answers continuously that made it more laborious than a paper copy. However, it is very clearly explained. It starts with the assumption that you aren't a dummy but your maths isn't that great. The author doesn't try to be too clever and introduces concepts at a steady but not too slow pace. The best part for someone trying to learn algebra is the excellent way in which the answers to questions are thoroughly worked through. This enables the student to check every step and if necessary find the point at which they go wrong. This is missing from many maths texts which simply give the answer rather than just the working so this is a really good buy if you are studying independently. Would definitely recommend for adults starting back into maths or school students looking for an alternative to their text.
| 677.169 | 1 |
Used - Good With CD! 6thMore About
This Textbook
Overview
Develop a thorough understanding of the concepts essential to success in mathematics with BASIC MATHEMATICS, 6th Edition. Each chapter-opening application is used as a common thread to introduce new concepts. Diagrams, charts, and graphs make it easier to grasp the material. McKeague's unique and successful EPAS system of Example, Practice, Answer, and Solution prepares you for working the problem sets. Your textbook purchases includes a variety of online and CD-ROM learning aids you can use for test prep, including iLrn Tutorial, Personal Tutor with SMARTHINKING live online tutoring, the Digital Video Companion CD-ROM with MathCue, and a Book Companion Web Site with practice tests for each chapter.
Related Subjects
Meet the Author
Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences, including the California Mathematics Council for Community Colleges, the American Mathematical Association of Two-Year Colleges, the National Council of Teachers of Mathematics, the Texas Mathematics Association of Two-Year Colleges, the New Mexico Mathematics Association of Two-Year Colleges, and the National Association for Developmental Education. He is a member of the American Mathematics Association for Two-Year Colleges, the Mathematics Association of America, the National Council of Teachers of Mathematics, and the California Mathematics Council
| 677.169 | 1 |
Algebra and Trigonometry-Text Only - 9th edition
Summary: Mike Sullivan's time-tested approach focuses students on the fundamental skills they need For The course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Algebra and Trigonometry has evolved to meet today's course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.115.86 +$3.99 s/h
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May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 9th Edition - Hardcover - ISBN 9780321716569
$190.12 +$3.99 s/h
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Facetextbooks Pittsburg, KS
Hardcover 9th Edition text. Hardcover. NO HIGHLIGHTING/WRITING Used items may have stickers on them and normal shelf wear. If a book is ordered after noon on Saturday it will not ship until Monday
| 677.169 | 1 |
Pass the Test Standalone Package for Beginning and Intermediate Algebra
Student Solutions Manual for Beginning and Intermediate Algebra
Summary
Worksheets for Classroom or Lab Practice offer extra practice exercises for every section of the text, with ample space for students to show their work. These lab- and classroom-friendly workbooksalso list the learning objectives and key vocabulary terms for every text section,along with vocabulary practice problems.
| 677.169 | 1 |
Survey of Mathematics with Applications - 8th edition
Summary: This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the social sciences, business, nursing and allied health fields. Let us int...show moreroduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world ofA Survey of Mathematics with Applications,8e. ...show less
Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy.
Christine Abbott received her undergraduate degree in mathematics from SUNY Brockport and her graduate degree in mathematics education from Syracuse University. Since then she has taught mathematics at Monroe Community College and has recently chaired the department. In her spare time she enjoys watching sporting events, particularly baseball, college basketball, college football and the NFL. She also enjoys spending time with her family, traveling, and reading
Dennis Runde has a BS degree and an MS degree in Mathematics from the University of Wisconsin--Platteville and Milwaukee respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for over fifteen years at Manatee Community College in Florida and for almost ten at Saint Stephen's Episcopal School. Besides coaching little league baseball, his other interests include history, politics, fishing, canoeing, and cooking. He and his wife Kristin stay busy keeping up with their three sons--Alex, Nick, and MaxBooks Squared Dallas, TX
Book selection as BIG as Texas
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Algebra Camp, Gr. 6-8
Develop an understanding of some basic algebra concepts as you build models and use exercises to practice your algebraic-thinking skills. No previous knowledge of algebra is necessary for this fun and informal course
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A mathematical model is a description of a system using mathematical language. Mathematical models are used not only in the natural sciences and engineering disciplines but they are also used in biology, economics and sociology. Here is a general guideline for how to build a mathematical model.
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Steps
1
Gather the following information: what you already know; sources of relevant data; your assumptions; what you'd like to predict with the model; ways of verifying that the model will be built correctly; and ways to validate the model. Simply, read the problem many times, classify knowns and unknowns and find out what is actually asked in problem.
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2
Make a strategy. After classifying the data, make the strategy how to solve the problem or how to make model. Sketch simple diagrams that outline the elements in the model and how they are connected to each other. As for any complex task, diagram helps.
3
Conduct a thorough literature review. There is no need to re-invent the wheel if somebody else has developed a model that may suit your purposes already. However, you need to fully understand all the assumptions and the applicability of a model before using it.
4
Learn Data Handling.It is important to know what is missing information in the problem. So think carefully about how you are going to handle missing data. If possible, quantify the uncertainties associated with the data. Sometimes, we overlook the missing information,so gain read problem several times and carefully.
5
Begin with a simple model. Make possibilities of different applicable models and then choose the best and simple.According to Occam's Razor principle, among models with similar predictive power, the simplest one is the most desirable.
6
Identify the parameters of the equations and develop a plan how to estimate the parameters from the data. This could be done simply by fitting the equations to the data.
7
Validate your model against a data set that you have not used to build the model.
8
Constantly test your model and update your equations based on new data and information
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Deep Dive into Mathematica's Numerics: Applications and Tips
Andrew Moylan
In this course from the Wolfram Mathematica Virtual Conference 2011, you'll learn how to best use Mathematica's numerics functions in advanced settings. Topics include techniques and best practices for using multiple numerics functions together, advanced numeric features, and understanding precision and accuracy
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This incredibly useful guide book to mathematics contains the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Now in its fifth updated edition, it is easy to understand, and convenient to use. Inside you'll find the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes. For the 5th edition, the chapters "Computer Algebra Systems" and "Dynamical Systems and Chaos" have been revised, updated and expanded.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":118.62,"ASIN":"3540721215","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":59.61,"ASIN":"0387952691","isPreorder":0}],"shippingId":"3540721215::fxH%2BgcEOl%2FX%2BKzwsXqwQgkyQZqxH6H95Z%2FHvt6YQXVXA4Fono2yeGxzRmFHrym0aWfyqZnIYcsBi7FAoT1Uk1FWZSwKlH4HuGvWz0gS6ZN8%3D,0387952691::4Gq7wc7jAHvYFNb6ZSFpeF1udguXdJgp5NnD2mpOdZZiLI5j7HQATzUgycs7lLLGMf0UDevJNrsMfmqxlj7q0OKu%2F7mZRbmpD9ZzU9myd guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. For the 5th edition, the chapters "Computer Algebra Systems" and "Dynamical Systems and Chaos" were fundamentally revised, updated and expanded. In the chapter "Algebra and Discrete Mathematics" a section on "Finite Fields and Shift Registers" was added.
The book is showing its age - but only a little. It contains fascinating summaries of mathematics old and new. No proofs, but tantalising leads and snilppets that are useful in themselves, as intended, but good prompts for the mathematically curious, or as in my case nostalgic, to follow up.
There are some things missing I would have hoped included, but others were there that I had never expected.
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Mat 116 Assignment Appendix C Essays and Term Papers
This pack includes MAT116Assignment Functions and their Graphs
Resource: Appendix E, MyMathLab®
Due Date: Day 7 [Individual forum and MyMathLab®]
Complete Appendix E to apply the skills learned in Ch. 7 to a real-life situation.
Use Equation Editor to write mathematical...
Associate Program Material
AppendixC
Input Data and Output Process
In the second column, list at least three processes (capabilities) necessary to keep track of your home CD or DVD collection. In the first column, identify the input data required for each process. In the last column, identify a...
Axia College Material
MAT116 Week 2 Application Assignment
Name:
Score: c/50
Starting a Business
Work must be shown for full credit.
Equation Editor must be used where necessary. See your Procedures document for further information.
Be sure to save your document as a Word Document...
Associate Level Material
AppendixC
Outcomes of the Revolution
Part 1
Complete the grid by describing each military event and explaining its relationship to the outcome of the Revolutionary War.
Military Event
Description
Relationship to the Outcome of the Revolutionary Level Material
AppendixC
Differentiating Between Market Structures Table and Questions
Fill in the matrix and describe differences in public and private goods, common resources, and natural monopolies. Use your book and the Tomlinson video tutorials as a tool to help you answer questions...
AppendixC Designing Databases Key
1.
(p. C5) A primary key is a field that uniquely identifies a given record in a table.
TRUE
This is the definition of a primary key.
AACSB: Reflective Thinking
AACSB: Technology
Baltzan - AppendixC... #1
Blooms: Remember
Difficulty: 1 Easy
Learning...
Axia College Material
AppendixC
Creating a Budget
Various budget approaches play an important role in resource allocation in human service organizations. You are the executive director for a local government workforce agency that focuses on providing career- and work-related skills. The Department...
C
A
P
P
E
N
D
I
I always loved that
word, Boolean.
Claude Shannon
IEEE Spectrum, April 1992
(Shannon's master's thesis showed that
the algebra invented by George Boole in
the 1800s could represent the workings of
electrical switches.)
X
The Basics of Logic
Design
...
University of Phoenix Material
AppendixC
Part I
Define the following terms:
Term | Definition |
Discrimination | * The denial of opportunities and equal rights to individuals and groups because of prejudice or other arbitrary reasons. * |
Institutional discrimination | * APart I
Note: Parts II and III follow below, complete all three.
Write a 350- to 700-word response to the following: Explain the communication process of neurons in the brain. List some common neurotransmitters and describe their effect on behavior.
There are 2 neurons afferent neurons these...
Axia College Material
AppendixC
Petra Koenig
PSY240
March 26, 2011
The Sleep Matrix
Why do we sleep? What governs when or how long we sleep? This activity will assist you in understanding two common sleep theories, recuperation and circadian, which provide different answers to these questions...
Associate Level Material
AppendixC
Cross-Cultural Communication Matrix
Use the matrix to complete the country information. Write 3-4 sentences for each item.
Access the Business Around the World information by accessing
Select three regions of the...
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books.google.com - In.... to Solve it
How to Solve it: A New Aspects of Mathematical Method
In. Yet the lessons are utterly practical: Polya brilliantly demonstrates how the true mathematician learns to draw unexpected analogies, tackle problems from unusual angles and extract a little more information from the data. Traditional mathematics can often seem just a process of dry, rigorous deduction: How to Solve It wonderfully conveys its challenge and excitement as a problem-solving activity.
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User Review - Matt - Goodreads
The information in this book was extremely useful and extremely difficult to approach. I read the Kindle edition which may be part of the problem, but the majority of the book is structured as a ...Read full review
Review: How to Solve It: A New Aspect of Mathematical Method
User Review - Thai Son - Goodreads
Hailed as the classic guide to problem solving, this book did quite a good job at categorizing the ways of looking at a problem, and some general methods of solving and treating them. However, I think ...Read full review
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An Introduction to Combinatorial Analysis
This is a concise introduction to combinatorics with a good collection of problems. This Dover edition is an unaltered reprint of the 1958 Wiley edition, with an errata sheet.
This was one of the first textbooks of modern combinatorics, and though only about one-quarter the size of modern textbooks it covers the most important parts of the subject. The first three chapters go over basic counting techniques based on permutations and combinations and the inclusion-exclusion principle. Each remaining chapter focuses on one class of combinatoric problem, for example partitions or counting trees. Sometimes general techniques appear in these later chapters: for example, Pólya's theory of counting is introduced in connection with counting trees. Generating series are used throughout to derive and to represent the results. Many of the results are tied to results in probability.
The problems are especially good. There are lots of them, and all are all of intermediate difficulty: requiring some ingenuity and not being an immediate application of already-covered material, but easy enough that students can be expected to work many of them. The Preface states that the problem section "is intended to carry on the development of the text, and so extend the scope of the book in a way which would have been impossible otherwise. So far as possible, the problems are put in a form to aid rather than baffle the reader." The problems usually have some background or a sketch of the solution to help the solver get started.
In modern curricula this book would be aimed at the upper undergraduate level and most of the book could be covered in a one-semester course. There are a number of asides or problems referring to more advanced mathematics, such as the Stieltjes integral, Hermite and Legendre polynomials, and some number theory, but these are not in the main narrative and students will not be handicapped if they are not familiar with them.
Riordan's text is old, but it still gives you a good introduction to combinatorics, is not intimidatingly thick, and is available at a bargain price as a Dover reprint. If you want something more modern, look at van Lint & Wilson's A Course in Combinatorics. This is pitched at the same level as Riordan, is much more comprehensive and has many recent results, but fewer problems. Neither of these texts has any applications, and a good book for supplemental reading is Roberts & Tesman's Applied Combinatorics.
Allen Stenger is a math hobbyist, library propagandist, and retired computer programmer. He volunteers in his spare time at MathNerds.com, a math help site that fosters inquiry learning. His mathematical interests are number theory and classical analysis.
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Introduction to Problem Solving Grades 3-5
9780325009704
ISBN:
0325009708
Edition: 2 Pub Date: 2007 Publisher: Heinemann
Summary: Susan O'Connell is the editor of Heinemann's Math Process Standards series, as well as the author its volumes Introduction to Problem Solving (grades PreK - 2, 3 - 5, and 6 - 8) and Introduction to Communication (grades PreK - 2, 3 - 5, and 6 - 8). She also wrote the popular Now I Get It (Heinemann, 2005). Sue has a varied background, including years as a classroom teacher, a school-based instructional specialist, a ...testing coordinator, a talented-and-gifted teacher, a district school-improvement specialist, and a university professional-development schools coordinator. Currently she is a project consultant for a federal teacher-quality grant in the College of Education at the University of Maryland. Additionally, she is an educational consultant, conducts mathematics seminars for teachers throughout the country, and a Heinemann Professional Development Provider.
O'Connell, Susan is the author of Introduction to Problem Solving Grades 3-5, published 2007 under ISBN 9780325009704 and 0325009708. Two hundred seven Introduction to Problem Solving Grades 3-5 textbooks are available for sale on ValoreBooks.com, fifty two used from the cheapest price of $22.42, or buy new starting at $30.42.[read more
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January 11, 2014: This
free online PreAlgebra course has been replaced with a new
version that is more complete and compatible with common-core
standards. I realize this will be an inconvenience for some of
our users, but it is an essential step that we must take.
This is a complete online study program for a
first course in pre-algebra. Everything you need for the course is provided
here—online and totally free of charge.
Errors in the Examples?
When you find an error in our e-text, please use the Contact Usfeature to let us know about it right away
We especially appreciate learning exactly where the error is. Receiving a message
that does not describe the exact nature and location of an error is like getting a B on a
math exam without marks that indicate the problems you missed.
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Linear Algebra - Sterling K. Berberian - Hardcover
9780198534365
ISBN:
0198534361
Edition: 1 Publisher: Oxford University Press, Incorporated
Summary: Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first t...ime. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader's grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra.
Berberian, Sterling K. is the author of Linear Algebra - Sterling K. Berberian - Hardcover, published under ISBN 9780198534365 and 0198534361. Six Linear Algebra - Sterling K. Berberian - Hardcover textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $8.58, or buy new starting at $120.38
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Common Core State Standards
CCSS.Math.Cont.8.F.A.1 ( Grade 8 ): Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
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Paperback
Click on the Google Preview image above to read some pages of this book!
Revised edition enhanced with an interactive online textbook and TI-Nspire OS3 updates. The Essential VCE Mathematics series has a reputation for mathematical excellence, with an approach developed over many years by a highly regarded author team of practising teachers and mathematicians. This approach encourages understanding through a wealth of examples and exercises, with an emphasis on VCE examination-style questions. New in Standard General Mathematics Second Edition Enhanced TI-N/CP Version: * An additional chapter on bivariate data with an early introduction to regression analysis, a key topic in Further Mathematics. * Updated worked examples and exercises, with revisions for CAS calculator use. * The TI-Nspire CAS is updated to OS3 in the CAS calculator explanations, examples and problems integrated into the text, which also feature the Casio ClassPad * Page numbers in the printed text reflect the previous TI-nspire and Casio ClassPad version allowing for continuity and compatibility.
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Intermediate Algebra (Paper) - 3rd edition
Summary: Intermediate Algebra, 3rd Edition RReview of Basic Algebraic Concepts R.1Study SkillsGroup Activity: Becoming a Successful StudentR.2Sets of Numbers and Interval NotationR.3Operations on Real NumbersR.4Simplifying Expressions 1Linear Equations and Inequalities in One Variable 1.1Linear Equations in One VariablePRE: Equations versus Expressions1.2Application of Linear Equations in One Variable1.3Applications to Geometry and Literal Equations1.4Linear Inequalities in One Variable1.5...show moreCompound Inequalities1.6Absolute Value Equations1.7Absolute Value InequalitiesPRE: Identifying Equations and InequalitiesGroup Activity: Understanding the Symbolism of Mathematics 2Linear Equations in Two Variables 2.1Linear Equations in Two Variables2.2Slope of a Line and Rate of Change2.3Equations of a LinePRE: Characteristics of Linear Equations2.4Application of Linear Equations and ModelingGroup Activity: Using Linear Equations to Construct Images 3Relations and Functions 3.1Relations and Applications3.2Introduction to Functions3.3Graphs of Basic FunctionsPRE: Characteristics of Relations3.4Algebra of Functions, Composition, and ApplicationsGroup Activity: Deciphering a Coded Message 4Systems of Linear Equations 4.1Solving Systems of Linear Equations by the Graphing Method4.2Solving Systems of Linear Equations by Using the Substitution Method4.3Solving Systems of Linear Equations by Using the Addition MethodPRE: Solving Systems of Linear Equations4.4Applications of Systems of Linear Equations in Two Variables4.5Linear Inequalities and Systems of Linear Inequalities in Two Variables4.6Systems of Linear Equations in Three Variables and Applications4.7Solving Systems of Linear Equations by Using MatricesGroup Activity: Creating a Quadratic Model of the Form y = at^2 +bt + c 5Polynomials 5.1Properties of Integer Exponents and Scientific Notation5.2Addition and Subtraction of Polynomials and Polynomial Functions5.3Multiplication of Polynomials5.4Division of PolynomaislPRE: Operations on Polynomials5.5Greatest Common Factor and Factoring by Grouping5.6Factoring Trinomials and Perfect Square Trinomials5.7Factoring Binomials Including Sum and Difference of CubesPRE: Factoring Summary5.8Solving Equations and Applications by FactoringGroup Activity: Investigating Pascal's Triangle 6Rational Expressions and Rational Equations 6.1Rational Expressions and Rational Functions6.2Multiplication and Division of Rational Expressions6.3Addition and Subtraction of Rational Expressions6.4Complex FractionsPRE: Operations on Rational Expressions6.5Solving Rational EquationsPRE: Rational Equations versus Expressions6.6Applications of Rational Equations and Proportions6.7VariationGroup Activity: Computing the Future Value of an Investment 7Radicals and Complex Numbers 7.1Definition of an nth-Root7.2Rational Exponents7.3Simplifying Radical Expressions7.4Addition and Subtraction of Radicals7.5Multiplication of RadicalsPRE: Simplifying Radical Expressions7.6Division of Radicals and Rationalisation7.7Radical Equations and Applications7.8Complex NumbersGroup Activity: Margin of Error of Survey Results 8Quadratic Equations, Functions, and Inequalities 8.1Square Root Property and Completing the Square8.2Quadratic Formula and Applications8.3Equations in Quadratic FormPRE: Equations in Quadratic Form8.4Graphs of Quadratic Functions8.5Vertex of a Parabola: Applications and Modeling8.6Polynomials and Rational InequalitiesPRE: Recognizing Equations and InequalitiesGroup Activity: Creating a Quadratic Model of the Form y = a(x - h)^2 + k 9Exponential and Logarithmic Functions 9.1Inverse Functions9.2Exponential Functions9.3Logarithmic FunctionsPRE: Identifying Graphs of Functions9.4Properties of Logarithms9.5The Irrational Number ePRE: Logarithmic and Exponential Forms9.6Exponential Equations and Applications9.7Logarithmic Equations and ApplicationsGroup Activity: Creating a Population Model 10Conic Sections 10.1Distance Formula, Midpoint, and Circles10.2More of the Parabola10.3The Ellipse and HyperbolaPRE: Formulas for Conic Sections10.4Nonlinear Systems of Equations in Two Variables10.5Nonlinear Inequalities and Systems of InequalitiesGroup Activity: Investigating the Graphs of Conic Sections on a CalculatorAdditional Topics Appendix A.1Binomial ExpansionsA.2Determinants and Cramer's RuleA.3Sequences and SeriesA.4Arithmetic and Geometric Sequences and Series
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Math for Clinical Practice - Pageburst E-Book on VitalSourceUsing a straightforward, real-life approach, this book focuses on mathematical calculations used in the clinical setting. It provides coverage of the ratio and proportion and formula methods of drug calculation. Common medications and methods of administration are used, including examples such as syringe usage, oral and parenteral medications, and medication reconstitution. Other examples, such as insulin, heparin, and intake and output, apply to specific patient populations. The math review sections build a strong foundation with hundreds of practice problems. To minimize medication errors, current safety recommendations from the Joint Committee on Accreditation of Healthcare Organizations (JCAHO) and the Institute for Safe Medication Practices (ISMP) are addressed with safety alerts, clinical alerts, human error alerts, and human error checks. Instructor resources available.
Learning is promoted with Practice Problems, Review Problems in each chapter, Comprehensive Review Problems for math, and Patient Care Scenarios.
Three examples are given for each new subject, following a unique step-by-step format that covers the prescription, what you HAVE, what you KNOW, what you WANT, critical thinking, answer for best care, human error check boxes, and does your answer fit the general guideline? Practice problems follow each set of three examples to reinforce content comprehension
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Inverse Problems: Activities for Undergraduates
This book introduces mathematics instructors to inverse problems and provides them with resources that are useful for teaching first and second year undergraduates the lessons of inverse problems. The problems are introduced by a historical essay that provides, without any formal mathematics, a scientific and cultural context for the mathematical lessons that follow. Topics covered in this book include inverse problems in Precalculus, Calculus, Differential Equations, and Linear Algebra. Six modules on specific inverse problems are included within each chapter. An appendix containing MATLAB scripts that may be used for some of the computations in the book is included.
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Introductory Linear Algebra An Applied First Course
9780131437401
ISBN:
0131437402
Edition: 8 Pub Date: 2004 Publisher: Prentice Hall
Summary: This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications.Emphasizing the computational and geometrical aspects of the subject, this popular book covers the following topics comprehensively but not exhaustively: linear equations and matrices an...d their applications; determinants; vectors and linear transformations; real vector spaces; eigenvalues, eigenvectors, and diagonalization; linear programming; and MATLAB for linear algebra.Its useful and comprehensive appendices make this an excellent desk reference for anyone involved in mathematics and computer applications.
Kolman, Bernard is the author of Introductory Linear Algebra An Applied First Course, published 2004 under ISBN 9780131437401 and 0131437402. Twenty six Introductory Linear Algebra An Applied First Course textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $29.84, or buy new starting at $183.29.[read more]
Ships From:Multiple LocationsShipping:Standard, ExpeditedComments:8th Edition. Used - Good. Used books do not include online codes or other supplements unless note... [more]8th Edition. Used - Good. Used books do not include online codes or other supplements unless noted. Choose EXPEDITED shipping for faster delivery! n
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Introduction to Electric Circuits, 8e
Designed for a one- to three-term course, this book conveys how the analysis and design of electric circuits are inseparably intertwined with the ability of the engineer to design complex electronic, communication, computer, and control systems. The authors introduce a formal problem-solving methodology that is reinforced in every chapter through extended design examples. The revised eighth edition contains updated algorithmic problems, an increased use of MATLAB, and a progression of problem types that range in difficulty.
MATLAB is used throughout the book to solve application examples, and supplemental MATLAB code files are available for download.
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Geometry: A Comprehensive Course (Dover Books on Mathematics)
Professor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.
Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.
In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical
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This website is intended to provide extra learning resources in algebra for middle school and high school students. The...
see more
This website is intended to provide extra learning resources in algebra for middle school and high school students. The approach is to teach math concepts in basic terms using examples and diagrams, if necessary.
The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.
Finite Math for Windows is a software package that enables students to easily solve problems and/or check their work in...
see more
Finite Math for Windows is a software package that enables students to easily solve problems and/or check their work in Finite Mathematics. It consists of 17 modules that correspond to the chapters in most Finite Mathematics books. Use of the software is intended to move the students from the calculator world into the more business-like world of software to help prepare them for their careers tutorial is designed to give students practice in calculating basic probabilities using the binomial distribution. The...
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This tutorial is designed to give students practice in calculating basic probabilities using the binomial distribution. The applet gives students short problem descriptions that require a binomial probability to solve. The user is then prompted to follow a step by step process to find the probability. Users must answer a step correctly before the applet will allow them to move onto the next step. The page also gives further exercises that allow the user to think about binomial distributions more deeply and gives a link to more detailed information about the binomial distribution. This tutorial is one of a number of easy-to-use statistics tutorials developed by Larry Green
Step-by-step Tutorials for using GeoGebra ( from beginning stages, to advanced features such as...
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Practical Statistics for Geographers and Earth Scientists provides an introductory guide to the principles and application of statistical analysis in context. This book helps students to gain the level...
In its expanded second edition, this book describes sources of errors in numerical computations, and provides tools for assessing the accuracy of numerical methods and their solutions. Includes MATLAB programs...
Project Management Leadership is a comprehensive guide to the human factors involved in Project Management, in particular the leadership skills required to ensure successful implementation of current best practice.
Technical Math For Dummies features easy-to-follow, plain-English guidance on mathematical formulas and methods that professionals use every day in the automotive, health, construction, maintenance and other trades. It shows...
Presents advanced mathematics course information for engineers and scientists in an easy-to-follow format. This title provides you with many examples, solved problems, and practice exercises to test your skills
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Teaching middle level mathematics can be exciting and challenging at the same time. This is true given the fact that most people generally shudder at the thought of the mention of the word mathematics particularly at elementary and high school and teachers at these levels might find it hard to...
The popularity of online education has increased many-fold in the past few years, and many working people are opting for this form of distant education because of its various advantages. To find online colleges is easy as a person has just got to enter the required keywords into a search...
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As with all other professions, nursing has different levels of experience and qualifications. A licensed practical nurse (LPN) has less experience and abilities than a registered nurse (RN). However it is now easier than ever to get the qualifications you need to advance from being a licensed practical...
The mathematics of random probability is what it assumes, random by nature. Random probability is representative of formal term mathematical concepts that are not always representative of what they imply. Many of the rules of mathematics, combined with logic are more of a matter of interpretation rather than a translation
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Introduction to Matrix Algebra
Between 2002-2007, the Introduction to Matrix Algebra book was downloaded free of charge by more than 30,000 users from 50 different countries. This book is an extended primer for undergraduate Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in Matrix Algebra or used as a just-in-time tool if the burden of teaching Matrix Algebra has been placed on several courses. In my own department, the Linear Algebra course was taken out of the curriculum a decade ago. It is now taught just in time in courses like Statics, Programming Concepts, Vibrations, and Controls.
There are ten chapters in the book 1) INTRODUCTION, 2) VECTORS, 3) BINARY MATRIX OPERATIONS, 4) UNARY MATRIX OPERATIONS, 5) SYSTEM OF EQUATIONS, 6) GAUSSIAN ELIMINATION, 7) LU DECOMPOSITION, 8) GAUSS-SEIDAL METHOD, 9) ADEQUACY OF SOLUTIONS, 10) EIGENVALUES AND EIGENVECTORS.
Ratings & Reviews
"Matrix Algebra " I found this text on Matrix Algebra a good refresher on the subject. I took this course many years ago. I liked the format and examples provided. His explanation of the Gauss-Seideal Method was good. His method of not providing a complex math explanation was nice. The chapter on Eigenvalues and Eigenvectors was robust
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Algebra
Review Problems
- The following problems are provided as examples of
algebra concepts you should know before starting MAT 111. Answers are provided
to help you evaluate your progress. Your goal should be 80% correct or better.
- The following problems are provided as examples of Trigonometry concepts you
should know if you are interested in placing into MAT 161. Answers are provided
to help you evaluate your progress. Your goal should be 90% correct
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Peace & Conflict Studies
Philosophy
Physics
Politics
Psychology
Social Anthropology
Theatre Arts
World Religion
Assessment
In both courses, there is an internal assessment composed of two portfolio projects,
each of which is worth 10% of the student's final mark (thus together they form 20%
of the final mark). The portfolio projects are intended to comprise a combined total of
10 hours of the overall classroom time for both courses. A description of the two
types of required portfolio projects follows below:
Mathematical investigation: the student identifies and investigates some sort of
pattern, formulates a formal conjecture to describe the pattern, and provides a formal
mathematical proof of the conjecture.
Mathematical modelling: the student is given a scenario, is provided with or
generates a set of data relating to the scenario, and develops a mathematical model
to accurately describe the data and make predictions about future data.
(HL, SL & Studies) covers Core IB Math lessons consisting of Algebra, Functions &
Equations, Circular Functions & Trigonometry, Matrices, Vectors, Statistics &
Probability, Calculus; Options & Portfolio. IB Maths Tution covers intensive as well
as extensive teaching of these topics along with past paper practice. There are small
group & private lessons for IB students in Dubai.
4.
IB/AP EXPERT TUTORS
IB Math HL SL Exploration
The Mathematical Exploration is the new format for the IB Internal Assessment for IB
Math HL and SL students starting with the class of May 2014. On Friday, September
28, we will be using our IB Flex class for an introduction to the Exploration. Formal
work will not start for quite some time yet, but it may be useful for students to have
some understanding of the requirements and goals of the Exploration early in the
course. One of the key goals is for each student to explore a topic of personal
interest, and of course this interest may be sparked at any time during the course.
The presentation below outlines some of the basic guidelines as well as the
assessment criteria.
General info:
Exploration intro — brief overview, including assessment criteria
Preliminary research assignment
Y1 exploration timeline
Mathematical topics:
Matrix transformations
Exponential vs logistic growth
Numerical integration, e.g. Simpson's Rule
Hyperbolic functions
Theorems from advanced Euclidean geometry, e.g. Menelaus's Theorem,
Apollonius's Theorem
Non-Euclidean geometry
Projective geometry
Perfect numbers/friendly numbers
Number bases
Quaternions (an extension of complex numbers)
5.
Harmonic series
Hypercube and other higher dimensional objects
Possible Topic Ideas:
A variety of possible ideas is listed below, but almost any topic is possible, as long
as it leads you to use mathematics that is "commensurate with the level of the
course". A topic that you discover and that catches your interest is likely to be
"fresher" than a topic from this list.
pplications: Mathematics and …
(almost anything can go after this — some are very broad areas and would need to
be focused considerably)
Architecture
Codes
Digital communication
Economics/markets
Elections
Games
Internet security
Medicine/health
Music
Environment
Sports
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Painless Algebra - 3rd edition
Summary: Titles in Barron's extensivePainless Seriescover a wide range of subjects as they are taught on middle school and high school levels. These books are written for students who find the subjects unusually difficult and confusing--or in many cases, just plain boring. Barron'sPainless Seriesauthors' main goal is to clear up students' confusion and perk up their interest by emphasizing the intriguing and often exciting ways in which they can put each subject to practical use...show more. Most of these books take a light-hearted approach to their subjects, often employing humor, and always presenting fun-learning exercises that include puzzles, games, and challenging ''Brain Tickler'' problems to solve. This title combines instruction in sentence structure with examination of amusing expressions, and gives tips on e-mail communication, editing a school paper, and moreAGood_Book TX Waco, TX
2011 Paperback GOOD--Some pages are slightly creased. May have inscription or name of previous owner. May have slight wear to covers, spine, and/or cover is slightly creased.
$1.99 +$3.99 s/h
Good
purple_whale_123 aurora, IL
0764147153
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A discovery worksheet that allows students to find the formal definition for Riemann sums. It ends with practice questions that students can do on their own. Included in the teacher sheets is an art... More: lessons, discussions, ratings, reviews,...
Tutorial fee-based software for PCs that must be downloaded to the user's computer. It covers topics from pre-algebra through pre-calculus, including trigonometry and some statistics. The software pos... More: lessons, discussions, ratings, reviews,...
Alterable worksheet in which students are presented with four digits and are asked to form two-digit numbers that sum to be a multiple of a given number, or are asked to choose two factors of a given ... More: lessons, discussions, ratings, reviews,...
Alterable worksheet in which students are given thermometer scales at a given negative reading and are asked to mark the new reading if the temperature rises by a certain amount. Fee required to prin
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Multiplication with Exponents Division with Exponents Operations with Monomials Addition and Subtraction of Polynomials Multiplication with Polynomials Binomial Squares and Other Special Products Dividing a Polynomial by a Monomial Dividing a Polynomial by a Polynomial Summary Review Cumulative Review Test Projects
5. FACTORING
The Greatest Common Factor and Factoring by Grouping Factoring Trinomials More Trinomials to Factor The Difference of Two Squares Factoring: A General Review Solving Equations by Factoring Applications Summary Review Cumulative Review Test Projects
Review of Solving Equations Equations with Absolute Value Compound Inequalities and Interval Notation Inequalities Involving Absolute Value Factoring the Sum and Difference of Two Cubes Review of Systems of Equations in Two Variables Systems of Equations in Three Variables Summary Review Cumulative Review Test Projects
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES
The Slope of a Line The Equation of a Line Linear Inequalities in Two Variables Introduction to Functions Function Notation Algebra with Functions Variation Summary Review Cumulative Review Test Projects
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Find a Gloucester, MA MathThe topics in discrete math are introductory concepts for math majors, like myself and are fundamental to me. I used and applied them throughout college. I played competitive table tennis for many years.Everything that we do with computers, from Word, to the internet, every page of the internet, games, etc. Everything on a computer or even a handheld device (cell phone, etc.) has a program on it. That program was created by a computer programmer, writing in a programming language like C++, Java, Pascal, Javascript, Perl, etc.
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Common Core Progressions
MATH 180 is the first math intervention program designed to meet the rigors of the Common Core and accelerate students to grade level. With a focused and coherent scope and sequence and scaffolded practice that includes Next Generation assessment item types and performance tasks, MATH 180 ensures that older struggling students have an explicit and accelerated path to college and career readiness.
Built From the Common Core
MATH 180 focuses on getting struggling students to a deep understanding and mastery of the most important K–5 standards to prepare them for success with higher level math. Carefully curated by Common Core architects Sybilla Beckmann and Bill McCallum, the MATH 180 scope and sequence is built around the essential foundational concepts and practices from which the Common Core State Standards for middle school extend and apply. These include Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number and Operations in Fractions—domains necessary for success with algebra.
The Common Core State Standards map out a clear, focused progression toward algebra. MATH 180 makes this progression visible for both students and teachers through foundational topics and practices that apply and extend to the middle school standards and algebra. Students extend arithmetic beyond whole numbers to understand and apply expressions and equations. The most important connections are to allow students to progress in their mathematical understandings and to see how major content develops over time. Students who do well in mathematics understand the big connecting ideas—the root system from which more complex math builds.
MATH 180 aligns its curriculum, instruction, and assessment to follow the behavioral outcomes of the Common Core and Next Generation Assessments, as reflected in the Standards for Mathematical Practice. Students develop essential skills such as persevering in solving problems, demonstrating abstract and quantitative reasoning, constructing viable arguments, sharing reasoning with peers, and offering critique. The carefully constructed exercises and lessons in MATH 180 challenge students to demonstrate their ability to solve complex problems by putting reasoning and thinking development at the forefront.
Prepare Students for Next Generation Assessments
Rich problem-solving lessons and sample performance tasks are scaffolded throughout each block to help struggling students gain extensive practice with rigorous Next Generation performance tasks. Similar to the PARCC and Smarter Balance sample tasks, the performance tasks embedded into
MATH 180 require reasoning, collaboration, mathematical expertise, and writing.
Problems in the Success Zone are designed around the items students will encounter on the Next Generation Assessments from PARCC or Smarter Balanced. Built as a game board with choice, the MATH 180 student software provides critical practice, but in a rewarding, fun space.
Dynamic and interactive simulations elicit student thinking, encourage mathematical decision making, and challenge students to analyze common patterns in their results. After students complete the simulation, they are asked to reflect on their plan and suggest ways to improve their performance. All writing is saved to a digital portfolio, which teachers can review from their dashboards.
The MATH 180 Teaching Guide models mathematical thinking and reasoning to develop the mathematical practices critical for proficiency with the Common Core State Standards. From Do Nows to partnered work, mSpace activities provide opportunities for students to communicate their thinking and critique the reasoning of others.
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
The geometry of two and three dimensional space has long been studied for its own sake, but its results also underlie modern developments in fields as diverse as linear algebra, quantum physics, and number theory. This text is a careful introduction to Euclidean geometry that emphasizes its connections with other subjects. Glimpses of more advanced topics in pure mathematics are balanced by a straightforward treatment of the geometry needed for mechanics and classical applied mathematics. The exposition is based on vector methods; an introductory chapter relates these methods to the more classical axiomatic approach. The text is suitable for undergraduate courses in geometry and will be useful supplementary reading for students of mechanics and mathematical methods.
Softcover, ISBN 0198534566 Publisher: OUP Oxford, 1993 Usually dispatched within 6-10 business days, BRAND NEW - Delivery usually 3-5 working days after dispatch - dispatched from the UK - From BOOKS etc.
Softcover, ISBN 0198534566 Publisher: Oxford University Press Clarendon Press, 1993 *** NEW COPY *** TITLE SHIPPED FROM UK *** Binding paperback The geometry of two and three dimensional space has long been studied for its own sake, but its results also underlie modern developments in fields as diverse as linear algebra, quantum physics, and number theory. This text is a careful. (OOKS, SCIENCE AND TECHNICAL, MATHEMATICS STATISTICS, GENERAL GEOMETRY)
Softcover, ISBN 0198534566 Publisher: Oxford University Press, United Kingdom, 1993 Language: English Brand New Book ***** Print on Demand *****. This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Softcover, ISBN 0198534566 Publisher: Oxford University Press, United Kingdom, 1993 Language: English Brand New Book ***** Print on Demand *****.This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Softcover, ISBN 0198534566 Publisher: Clarendon Press, 1993 Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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milwaukeeworking414 via United States
Softcover, ISBN 0198534566 Publisher: Oxford University Press, USA, 1993 Acceptable. never employed in the central city of...
Softcover, ISBN 0198534566 Publisher: Oxford University Press Oxford University Press, 1993 Used - Acceptable, Usually ships in 1-2 business days,...
Softcover, ISBN 0198534566 Publisher: Oxford University Press Good, Usually ships in 1-2 business days, This is a 307 page 1993 paperback edition from Oxford University Press, as pictured. NOT ex-library. The spine is lightly creased and tightly bound. The covers are flat with minimal corner wear. Front edges show a little thumbing discoloration. End papers, title pages and text are clean and free of owner names, notes highlighting, etc. Proceeds of sale go to the Memphis Library Friends and support the Memphis Public Library. wjf
Softcover, ISBN 0198534566 Publisher: OUP Oxford, 1993 Very Good, Usually ships in 1-2 business days, Light wear to cover and cover edges. Light crease in top right corner. Text in excellent condition!
Softcover, ISBN 0198534566 Publisher: Clarendon Press Clarendon Press, 1993 Used - Very Good, Usually ships within 1 - 2 business days, Book is in Very Good condition. Ships from New York. Please allow 5-15 business days. Friendly customer service.
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Meritnation.com is one of the forerunners in the online education industry, for the provision of Class 10 study material for Math. Our Study Material for Class 10 Math has been prepared and structured by professionals, who are well-aware of all the requirements of the CBSE curriculum. Also, there are colorful animations and exciting graphics that accompany all the study notes for Class 10 Math, which help students understand all the topics and chapters in quicker. We aspire to make our Study Material for Class 10 Math such that learning becomes more than a tiring task; it becomes an exciting and engaging experience for students. Additionally, our Study Material for Class 10 Math extensively covers the entire syllabus, without seeming boring or monotonous.
Students can now get rid of all their Maths problems with the study package offered by meritnation.com. Customised maths study notes are made available for all classes and Boards, and Maths no longer remains an anxiety. Maths notes, practice tests, revision tests, Textbook solutions and NCERT solutions are some features of meritnation.com for Maths.
Meritnation offers a huge reserve of Study material for classes 1 to 12. The study material offered by us is prepared and managed by subjects experts for Science, Maths, English, Hindi, Social Science, Sanskrit and GK. Also, our all-inclusive study material is provided to students of CBSE, ICSE, Maharashtra, Kerala, Karnataka and Tamil Nadu Boards. The study material offered by us makes it easier for students to grasp the various academic concepts with great ease.
Students appearing for Boards in Class 10 can make use of high quality study material, revision notes, exam preparation modules and a lot more on Meritnation.com. The study material for Class 10 students is prepared in accordance with the pattern followed by the respective educational Boards across India. We provide ample explanation for all the topics and chapters. Class 10 Science, Maths, English, Hindi and Social Sciences are the subjects we offer to our students. Students can also prepare for competitive exams like Olympiad, NTSE and others
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Mathematics for Economists
9780393957334
ISBN:
0393957330
Pub Date: 1994 Publisher: Norton, W. W. & Company, Inc.
Summary: An abundance of applications to current economic analysis, illustrativediagrams, thought-provoking exercises, careful proofs, and a flexibleorganization-these are the advantages that Mathematics for Economists brings to today's classroom.
Simon, Carl P. is the author of Mathematics for Economists, published 1994 under ISBN 9780393957334 and 0393957330. Four hundred sixty seven Mathematics for Economists text...books are available for sale on ValoreBooks.com, sixty one used from the cheapest price of $42.50, or buy new starting at $186.22Cover damaged on lower corned. Minor Staining on bottom corner. May have minimal notes/highlighti... [more]Cover damaged on lower corned. Minor Staining on bottom corner. May have minimal notes/highlighting, some wear/tear. Please contact us if you have any Questions
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Connected Mathematics : Frogs, Fleas and Painted .. - 06 edition
Summary: * New Unit: The Shape of Algebra focuses on the strong connections between algebra and geometry to extend students' understanding and skill in key aspects of algebra and geometry* New resource: CMP Strategies for English Language Learners * Video Tutors available on-line * Academic vocabulary support added in each Student Unit
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focus on understanding profit factors, this book provides a basic knowledge of the principles and techniques of real-world merchandising mathematics. Building on the authors' extensive retail experience, the book explains how to apply these fundamentals to realistic, everyday retail merchandising problems. Math applications specific to retailing makes this book an excellent resource for buyers and small store owners. Suggestions for working select problems on a computer spreadsheet includes examples of spreadsheets used for problems having to do with retail method of inventory and six-month merchandise plans. For Retail Executives and Buyers in training and Small Storeowners
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