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Buy e-Study Guide for College Algebra, textbook by Robert F. Blitzer by Cram101 Textbook Reviews and Read this Book on Kobo's Free Apps. Discover Kobo's Vast Collection of Ebooks Today - Over 3 Million Titles, Including 2 Million Free Ones!
Provide students with a college-prep Algebra II course that will allow them to easily progress onto even more difficult mathematical challenges. Saxon Algebra 2, 4th Edition prepares students for calculus through explicit embedded geometry instruction. Trigonometry concepts, statistics, and applications for other subjects such as physics and chemistry are also included. Incremental lessons include a Warm Up activity; New Concepts section that introduces new concepts through examples with sidebar hints and notes; and Lesson Practice questions with lesson reference numbers underneath the question number. Online connections are given throughout for additional help. Real-world applications and continual practice & review provide the time needed to master each concept, helping students
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The 16th-Century intellectual Robert Recorde is chiefly remembered for introducing the equals sign into algebra, yet the greater significance and broader scope of his work is often overlooked. This book presents an authoritative and in-depth analysis of the man, his achievements and his historical importance. This scholarly yet accessible work examines... more...
It's an update on an industry best selling book, Beginning iPhone Development. Dave Mark is a leading iOS, iPhone and iPad Apps developer, consultant, trainer and author. The iPhone book and tech market remain hot and important. more...
Among the group of physics honors students huddled in 1957 on a Colorado mountain watching Sputnik bisect the heavens, one young scientist was destined, three short years later, to become a key player in America's own top-secret spy satellite program. One of our era's most prolific mathematicians, Karl Gustafson was given just two weeks to... more...
The impact of computer systems that can understand natural language will be tremendous. To develop this capability we need to be able to automatically and efficiently analyze large amounts of text. Manually devised rules are not sufficient to provide coverage to handle the complex structure of natural language, necessitating systems that can automatically... more...
One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and beautiful mathematical result. The exposition follows the... more...
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum - nothing beyond first courses in linear algebra and multivariable calculus - and the most direct and straightforward approach is used throughout. New... more...
This book concerns the origins of mathematical problem solving at the internationally active Osram and Telefunken Corporations during the golden years of broadcasting and electron tube research. The woman scientist Iris Runge, who received an interdisciplinary education at the University of Gottingen, was long employed as the sole mathematical authority... more...
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35.60 book categorizes, identifies and explains the various techniques that are used repeatedly in all proofs and explains how to read proofs that arise in mathematical literature by understanding which techniques are used and how they are applied.
Editorial Reviews
From the Publisher
This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.
--This text refers to an out of print or unavailable edition of this title.
From the Back Cover
LEARN HOW TO READ, UNDERSTAND, AND DO PROOFS!
Daniel Solow's new Third Edition of HOW TO READ AND DO PROOFS will help yopu master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you have a firm grasp of the techniques, you'll be better equipped to read, understand and actually do proofs. You'll learn when each techniques is likely to be successful, based on the form of the theorem. This edition present new material, examples and exercises that show you how to explain proofs in terms of the techniques discussed in the text, improved explanations, and a glossary of key terms for easy reference.
KEY FEATURES:
Shows how any proof can be understood as a sequence of techniques.
Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction.
Explains how to identify which techniques are used and how they are applied in the specific problem.
Illustrates how to read written proofs with many step-by-step examples.
Requires no college-level math.
Uses ordinary language instead of symbolic logic to explain the nature of proofs.
Most Helpful Customer Reviews
This book is the "magic decoder ring" for terse proofs. This book should be passed out to every undergraduate taking the first mathematical analysis course. Numerous examples and exercises are included. The typesetting and notation are very readable. The great strength of this book is that the proofs used for exercises are restricted to the level of algebra and set theory. This makes it easy to concentrate on the technique of proof rather than the specific results. Also check out Polya's book "How to Prove It" and Velleman's book of the same name.
Contrary to the review by the person from Louisiana I feel the second edition is better than the first. The typesetting is greatly improved, and there are a few new tools for your toolbag in the second edition. As to the criticism that the second edition only has solutions for the odd numbered problems, the reviewer failed to mention that there are twice as many problems in the new edition and that all the problems from the first edition were carried into the second (along with their solutions). I found it more satisfying working through the second edition knowing that the problems were correctly solved - not because the answer matches the back of the book - but because the arguments are compelling and demonstrably correct. I heartily recommend this book to anyone who feels mystified at the process of writing proofs.
One can learn to do proofs with this book but the examples and exercises seem to be geared for the average eighth grader. The reader would be better served with How to Prove It : A Structured Approach by Daniel J. Velleman, who's exercises are more similar to what one has to tackle in a normal college proof course. The only draw back of the Velleman is there are no solutions for the exercises.
Without a doubt, the best self-help Math book I've ever purchased on AMAZON! Actual techniques for working proofs are presented and they are fairly easy to understand. The author provides some good foundational basics for understanding how proofs work and the best approaches to use for arriving at conclusions! I would recommend this book to any aspiring Mathematicians who want to learn to do proofs!
When I order this book it was not at all clear if I would like it, because of it low grades contain and examples. I was very surprised when I received it, because the book is written very clearly. The author make a great job when he explains the technics of proof. The exercises and the examples are definitely too easy for an undergraduate or graduate but you must take a look at it just for the explanation that the author gives for the technics of proof. The examples and exercises are mostly for high school students. The price of the book make it very affordable. It worth the price. I would recommend this book to anyone who want to introduce himself into the basic of proofs.
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1719780
/ 052171978X
How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
by:Kevin Houston...
Show More meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician
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College Algebra - 4th edition a and summaries. ...show less
Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Nonlinear Systems of Equations. Partial Fractions. Inequalities and Systems of Inequalities in Two Variables. Linear Programming.
6. Matrices and Determinants.
Solving Linear Systems Using Matrices. Operations with Matrices. Multiplication of Matrices. Inverses of Matrices. Solution of Linear Systems in Two Variables. Using Determinants. Solution of Linear Systems in Three Variables Using Determinants
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Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter.
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Priestley also includes many worked examples, which again I found to be very helpful, because by working through the examples myself, I managed to consolidate what I had learned previously.
I would recommend this book to anyone who is an undergraduate studying complex analysis.
From what I can tell, in an effort to save space or something, the author has omitted more or less half of the steps of proofs and instead chooses to list off a bunch of relevant theorems that one would use in order to justify a step without explaining how they fit together. As a result, it was often unclear how the author gets from one step to the next, and I had to spend time on many of the proofs redoing the proof myself on paper in order for the steps to feel like they had logical flow. The layout of the text is much too dense, as many equations that should be given their own line are stuffed into the text, with no adjustment for size. In addition, the author has some strange obsession with using negative exponents rather than inserting fractions, possibly as another attempt to save space, which unfortunately renders the equations looking unnaturally long. Examples are sparse, and rarely illustrated, making a subject that is already tricky to visualize even less visualizable. The exercises vary wildly in difficulty, mainly either being incredibly easy plug-and-chug problems, or incredibly complicated proofs that require multiple pages of justifications. There are also no solutions, hints, or answers to any of the problems. Also, despite being the second edition, there are still plenty of typos in this book. Overall, this is not a particularly good book if you are a beginner to complex analysis, or trying to teach yourself. It makes a nice reference book or review guide, in that it is extremely concise, and so it is relatively easy to go through and refresh your memory on theorems covered in class.
As an undergraduate, I was lectured by Dr. Priestley. I have had her book for 28 years. It is super-complex material, and I enjoy reading it as much today as I did when I was first introduced it. I can see the point that less favourable reviews are making, but it's still 5 stars.
Good things; the "tactical tips" are generally excellent and the material in the book is adequate and reasonably well paced for the 1st to 2nd year undergraduate. Wise choices with regards to topological abstraction are also made and worked in well to the text.
Occasionally important insights in proofs are omitted or worse genuine oversights are made (for instance, on p25 where the proof does not hold for all triplets in Cinfinity), there are also a few comical errors, e.g. p56 where even on the 2nd printing there is a glaring error in the very first definition of complex differentiable!
The author seems to take a dim view of alternative ways of constructing complex analysis which are genuinely quite interesting and worth exploring.
The downside of the book is the routineness of the exercises which are well below exam standard in a lot of places and sometimes is nothing more than a list of dull applications. The silly "Z mistake" things everywhere are also sort of insulting...
A really good course book for a first course in the theory of complex variables. I needed it more for the applications than the proofs (coming from a Physics background) but this seems to cover both clearly and well.
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Understanding Engineering Mathematics [NOOK Book]
Overview
* Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed * Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills * Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice material
Students today enter engineering courses with a wide range of mathematical skills, due to the many different ...
More About
This Book
Overview
* Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed
* Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills
* Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice materialThe book is structured around a highly successful 'transition' maths course at Aston University which has demonstrated a clear improvement in students' achievement in mathematics, and has been commended by QAA Subject Review and engineering accreditation reports.
A core undergraduate text with a unique interactive style that enables students to diagnose their strengths and weaknesses and focus their efforts where needed
Ideal for self-paced self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills
Lots of targeted examples and exercisesEditorial Reviews
From the Publisher
"Most of syllabi covered with all steps included insolved examples. Plenty of basic maths"
Senior Lecturer
"Good readability and relevant for the Foundation year with practical examples"
College Programme Director
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Introductory Theory and Applications in Physical and Life Science
1898563063
9781898563068
Details about Calculus:
This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at the end of each chapter test comprehension before moving to new material.
Provides a clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functionsIncludes short, useful diagnostic exercises at the end of each chapter
Back to top
Rent Calculus 1st edition today, or search our site for R. M. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Woodhead Publishing.
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Course Description:This
course is designed to develop an appreciation of what mathematics is ad
how it is used today.Topics covered
include statistics and probability; networks, algorithms; geometrical perspectives;
and the mathematics of social choice.
Objectives:
·Develop
problem solving and critical thinking skills.
·Expand
understanding of and appreciation for contemporary mathematics and its
uses.
·Develop
understanding of both continuous and discrete appplications of mathematics.
·Highlight
some of the more recent developments in mathematics.
·Improve
mathematical and computer skills through the use of computational and computer-related
algorithms.
Text:Excursions
in Modern Mathematics by Tannenbaum & Arnold.
Recommended Calculator: TI 83 or TI 83+
Course Requirements:
ProjectA
formal project will be assigned in-class on March 14th.You
may work in groups
during class,
but every student must hand in his/her own solution on March 26th
(after spring break).15%
of your grade
ExamsThere
will be two announced in-class exams.20%
of your grade each
FinalA
comprehensive final exam will be given.25%
of your grade
QuizzesApproximately
10 unannounced quizzes will be given.These
may consist of a
review
of homework problems.No make-up
quizzes will be given.Students may
drop
their lowest quiz grade.20%
of your grade
Course Policies:
Attendance/Class Participation:You are expected to attend each class; it is impossible to participate
in the problem solving activities unless you are present.Since
the activities are designed to help you build your own understanding of
mathematics, Agetting
the notes@ from
someone else will simply not work!Attendance
will be taken at the beginning of each class session.More
than three absences and/or excessive lateness may result in a lowered final
grade.
Makeup Exams: Makeup
exams will be given only if you have called and left a message prior to
the start of the exam indicating the reason for your missing the scheduled
exam.Valid reasons should be beyond
your control (e.g.,illness, accidents,
hospitalization); oversleeping is not a valid reason to miss an exam.Makeup
exams will generally be scheduled as soon as possible.
Course Outline:The
following table gives a tentative outline for the course.Reading
assignments are to be completed as homework following each class.
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Introduction to Mathcad its practical and clear step-by-step procedures, this book demonstrates how to use MathCAD and shows what the MathCAD worksheet looks like through every step of the process. The book shows how MathCAD can be used to solve real problems in various engineering disciplines, such as chemical processes, electronics, and biomedicine, as well as some that appeal to mechanical and civil engineers.
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A full course in differential equations involves applications of derivatives to be studied after two or three semester courses in calculus. A derivative is the rate of change of one quantity with respect to another; for example, the rate(1930-1999) was an American cartoonist, illustrator, singer-songwriter, poet, playwright, screenwriter and one of the most creative badasses I have ever read about. He worked as cartoonist for for nearly 20 years, his children's books have sold millThis morning I was awoken by my alarm clock powered by electricity generated by the public power monopoly regulated by the US department of energy. I then took a shower in the clean water provided by the municipal water utility. After that, I turned ...
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Explorations in College Algebra, 5th Edition is designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach that motivates readers to grasp abstract ideas by solving real-world problems. The problems lie on a continuum from basic algebraic drills to open-ended, non-routine questions. The focus is shifted from learning a set of discrete mathematical rules to exploring how algebra is used in the social, physical, and life sciences. The goal of Explorations in College Algebra, 5th Edition is to prepare students for future advanced mathematics or other quantitatively based courses, while encouraging them to appreciate and use the power of algebra in answering questions about the world around us.
An Introduction to Data and Functions
Describing Single-Variable Data
Visualizing Single-Variable Data
Numerical Descriptors: What is "Average" Anyway?
An Introduction to Algebra Aerobics
An Introduction to Explore and Extend
Describing Relationships between Two Variables
Visualizing Two-Variable Data
Constructing a "60-Second Summary"
Using Equations to Describe Change
An Introduction to Functions
What is a Function?
Representing Functions: Words, Tables, Graphs and Equations
Input and Output: Independent and Dependent Variables
When is a Relationship Not a Function?
The Language of Functions
Function Notation
Domain and Range
Visualizing Functions
Is There a Maximum or Minimum Value?
When is the Output of the Function Positive, Negative or Zero?
Is the Function Increasing or Decreasing?
Is the Graph Concave Up or Concave Down?
Getting the Big Idea
Chapter Summary
Check Your Understanding
Chapter 1 Review: Putting it all Together
Exploration 1.1 Collecting, Representing, and Analyzing Data
Rates of Change and Linear Function
Average Rates of Change
Describing Change in the U.S. Population over Time
Defining the Average Rate of Change
Limitations of the Average Rate of Change
Change in the Average Rate of Change
The Average Rate of Change is a Slope
Calculating Slopes
Putting a Slant on Data
Slanting the Slope: Choosing Different End Points
Slanting the Data with Words and Graphs
Linear Functions: When Rates of Change are Constant
What if the U.S. Population Had Grown at a Constant Rate?
Real Examples of a Constant Rate of Change
The General Equation for a Linear Function
Visualizing Linear Functions
The Effect of b
The Effect of m
Finding Graphs and Equations of Linear Functions
Finding the Graph
Finding the Equation
Special Cases
Direct Proportionality
Horizontal and Vertical Lines
Parallel and Perpendicular Lines
Breaking the Line: Piecewise Linear Functions
Piecewise Linear Functions
The absolute value function
Step functions
Constructing Linear Models for Data
Fitting a Line to Data: The Kalama Study
Reinitializing the Independent Variable
Interpolation and Extrapolation: Making Predictions
Looking for Links between Education and Earnings: Using Regression Lines
| 677.169 | 1 |
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 editionAmedistributors via United States
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996 Usually ships in 1-2 business days
Softcover, ISBN 0486689069 Publisher: Dover Publications Inc., United States, 1996 Language: English Brand New Book. This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given -- making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD,...
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996 International shipping, Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996 0486689069 Brand New in Mint condition. Guaranteed delivery in 2-4 days when you order with Expedited Shipping! No Expedited shipping to PO Boxes.
Softcover, ISBN 0486689069 Publisher: Dover Pubn Inc, 1996 Paperback. Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include unique factorization and the GCD, quadratic residues, number-theoretic functions.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 288 pages. 0.281
Softcover, ISBN 0486689069 Publisher: Dover Pubn Inc6689069 Publisher: Dover Publications, 1996486689069 Publisher: Dover Publications Used - Very Good, Usually ships in 1-2 business days, Pages are clean and free of writing and or highlighting. Cover edges show some wear from reading and storage. Used - Very Good, Usually ships in 1-2 business days, Very Good Condition. Has some wear. Five star seller - Ships Quickly - Buy with confidence!
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Berthoud PrealgebraThis further cements the student's understanding. Doing a lot of problems is critical to success in any Algebra class, including Algebra 2. Attempting problems can be frustrating and counterproductive, however, without access to help and prompt feedback on the work done.
| 677.169 | 1 |
What is algebra?
Algebra
is a new general-purpose computer algebra library designed to
provide reusable and efficient algorithms for manipulating the standard
objects of algebra, namely polynomials, series and matrices.
Built as an extension of the
libaldor
library, it provides
Aldor
programmers with an extensible computer algebra layer with a rich
data type hierarchy.
What is the current version?
The current distributed version is 1.0.2, released May 19, 2004.
How do I get and install algebra?
Algebra is now bundled with
the Aldorcompiler and is automatically
installed with it.
Algebra is not free from the
little creeping things. Here is the list of reported ones, with fixes
or workarounds whenever possible. Please help all our users by reporting
any bug you find to
salli@sophia.inria.fr 1.0.2 bugs:
| 677.169 | 1 |
Math
The mathematics curriculum is designed to provide a rigorous foundation in the basics of mathematics and the tools to foster logical thought and analysis. Critical thinking, collaboration and mathematical modeling are emphasized at all levels. In all mathematics courses, faculty help students develop successful study skills and effective test-preparation techniques.
For students whose backgrounds and aptitudes are strong, there are advanced sections of courses in our core curriculum. These include A.P. Calculus BC, Multivariable Calculus with Differential Equations, and Advanced Math/Science Research. Each of these courses allow students who are passionate about mathematics to pursue excellence in the subject at the highest level
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Should College Classes Ditch the Calculator?
Should College Classes Ditch the Calculator?
According to Samuel King, postdoctoral student in the University of Pittsburgh's Learning Research and Development Center, using calculators in college math classes may be doing more harm than good. In a limited study conducted with undergraduate engineering students and published in the British Journal of Educational Technology, King has determined that our use of calculators may be serving as an alternative to an actual, deep understanding of mathematical material.
"We really can't assume that calculators are helping students," says King. "The goal is to understand the core concepts during the lecture. What we found is that use of calculators isn't necessarily helping in that regard."
King, along with co-author and director of the Mathematics Education Centre at Loughborough University, Carol Robinson, conducted the study by interviewing 10 second-year undergraduate students who were enrolled in a competitive engineering program. The students were given a number of mathematical questions dealing with sine waves, which are mathematical curves that describe a smooth repetitive oscillation. To help solve the problems, the students were given the option of using a calculator instead of completing the work entirely by hand. Over half of the students questioned opted to utilize their calculators in order to solve the problems and plot the sine waves.
"Instead of being able to accurately represent or visualize a sine wave, these students adopted a trial-and-error method by entering values into a calculator to determine which of the four answers provided was correct," says King. "It was apparent that the students who adopted this approach had limited understanding of the concept, as none of them attempted to sketch the sine wave after they worked out one or two values."
After completing the work, King and Robinson interviewed the students about how they approached the material. One student who used the calculator stated that she had trouble remembering the rules for how sine waves operate, and found it generally easier to use a calculator instead. In contrast, however, a student who opted to complete the work without a calculator stated that they couldn't see why anyone would have trouble completing the question, but did admit that it would likely be easier with says King. "Are these tools really helping to prepare students or are the students using the tools as a way to bypass information that is difficult to understand? Our evidence suggests the latter, and we encourage more research be done in this area."
Given the small sample size used in the study, it is entirely possible that King's findings are largely anecdotal in how our usage of calculators and understanding of mathematical concepts may positively or negatively correlate. However, King does stress that while all the evidence may not be in, his study does raise important questions regarding how, when and why students choose to use calculators, and in doing so, we may develop a more holistic approach to math instruction
| 677.169 | 1 |
More About
This Textbook
Overview
An application of differential forms for the study of some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames expounded by E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.
Editorial Reviews
From the Publisher
M.P. Do Carmo
Differential Forms and Applications
"This book treats differential forms and uses them to study some local and global aspects of differential geometry of surfaces. Each chapter is followed by interesting exercises. Thus, this is an ideal book for a one-semester course."—ACTA SCIENTIARUM MATHEMATICARUM
| 677.169 | 1 |
More About
This Textbook
Overview
The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs.
The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics.
Undergraduate students in engineering and physical science will find this book invaluable.
Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginning
Offers a large variety of examples and problems with solutions for students to work through on their own
Includes a collection of exercises without solutions to help instructors prepare assignments
Editorial Reviews
From the Publisher
"It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners into the world of mathematical thinking…for those required to teach 'transition courses', I recommend perusal of this book as a possible course text."—MAA online, December 3, 2013
Meet the Author
Antonella Cupillari is an associate professor of mathematics at Pennsylvania State Erie in Behrend College. She received her Laurea in Mathematics in Italy, and her M.A. and Ph.D. at the State University of New York at Albany. She has been a participant in the Mathematical Association of America/National Science Foundation Institute on the "History of Mathematics and Its Use in Teaching." Cupillari is the author of several papers in analysis, mathematics education, and the history of mathematics. She is also the author of the first edition of The Nuts and Bolts of Proof
| 677.169 | 1 |
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Algebra I
Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
Systems of equations and inequalities
Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like "the make-up of change in a troll's pocket" or "how can order the right amount of potato chips for a King's party." Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!
Have no time for trolls, kings and parrots and just want to get to the essence of system. This might be a good tutorial for you. As you can see, this stuff is so important that we're covering it in several tutorials!
This tutorial focuses on solving systems graphically. This is covered in several other tutorials, but this one gives you more examples than you can shake a chicken at. Pause the videos and try to do them before Sal does.
This tutorial is focused on solving systems through substitution. This is covered in several other tutorials, but this one focuses on substitution with more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does.
You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. It is covered in other tutorials, but we give you far more examples here. You'll learn best if you pause the videos and try to do the problem before Sal does.
This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!
You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!
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and the author of Why Cats Land on Their Feet8 totalSimilarThis clear, rigorous introduction to the calculus of variations covers applications to geometry, dynamics, and physics. Focusing upon problems with one independent variable, the text connects the abstract theory to its use in concrete problems. It offers a working knowledge of relevant techniques, plus an impetus for further study. Starting with an overview of fundamental problems and theories, the text advances to illustrative examples and examinations of variable end-points and the fundamental sufficiency theorem. Subsequent chapters explore the isoperimetrical problem, curves in space, the problem of Lagrange, and the parametric problem. The final chapter is devoted to multiple integrals, with a particular focus on Dirichlet's principle. Suitable for advanced undergraduate and graduate students, this text requires a background in mathematical analysis.
Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.
Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.
This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and applied mathematicians. The author begins slowly, introducing the reader to the calculus of variations, and supplying lists of essential formulae and derivations. Later chapters cover isoperimetric problems, geometrical optics, Fermat's principle, dynamics of particles, the Sturm-Liouville eigenvalue-eigenfunction problem, the theory of elasticity, quantum mechanics, and electrostatics. Each chapter ends with a series of exercises which should prove very useful in determining whether the material in that chapter has been thoroughly grasped. The clarity of exposition makes this book easily accessible to anyone who has mastered first-year calculus with some exposure to ordinary differential equations. Physicists and engineers who find variational methods evasive at times will find this book particularly helpful. "I regard this as a very useful book which I shall refer to frequently in the future." J. L. Synge, Bulletin of the American Mathematical Society.
This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.
Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, fundamental theorems and applications of differential calculus, the differential, indefinite and definite integrals, applications of the definite integral, and infinite series.
Course of Theoretical Physics, Volume 6: Fluid Mechanics discusses several areas of concerns regarding fluid mechanics. The book provides a discussion on the phenomenon in fluid mechanics and their intercorrelations, such as heat transfer, diffusion in fluids, acoustics, theory of combustion, dynamics of superfluids, and relativistic fluid dynamics. The text will be of great interest to researchers whose work involves or concerns fluid mechanics.
Don't be perplexed by physics. Master this science with practice, practice, practice!
Practice Makes Perfect: Physics is a comprehensive guide and workbook that covers all the basics of physics that you need to understand this subject. Each chapter focuses on one major topic, with thorough explanations and many illustrative examples, so you can learn at your own pace and really absorb the information. You get to apply your knowledge and practice what you've learned through a variety of exercises, with an answer key for instant feedback. Offering a winning formula for getting a handle on science right away, Practice Makes Perfect: Physics is your ultimate resource for building a solid understanding of physics fundamentals.
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Developmental Mathematics
The Developmental Mathematics Program assists students in developing and applying mathematics skills and concepts and developing critical thinking skills related to mathematics. The program provides a solid foundation for success in college-level mathematics.
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MA125 Intermediate Algebra
for F2R 2010 Algebra, like all mathematical subjects must be practiced. A student is required to learn and practice basic reasoning and problem solving skills. You must read your textbook and work the examples to be able to do the homework. You cannot rely strictly on the lectures and in class work. You must not try to do your homework as fast as possible, but take the time to actually learn and grasp the concepts in small sections at a time. It is in practice that you will solidfiy your understanding of the material. Since this course meets only once per week, you must exercise great discipline in spreading out your work over the entire week. The subjects presented each week will build upon the prior material so it is imperative that you fully understand the prior material. I expect my students to come to class prepared to learn and to participate. I expect my students to ask questions and to call me any time they need help. Do not waste time on a problem that you are having trouble with. Collect your questions and then call me so we can discuss them. I measure my success by your success so I will commit all my efforts to helping you succeed and I expect you to do your best as well.
Class Assessment: You will be assessed on class participation, a homework folder, quizzes, midterm exam and a final exam. Homework completion will be checked every week as part of class participation. You will be expected to demonstrate good organizational skills by maintaining a sequential notebook of in class notes and your completed homework. Each homework assignment should be labeled with your name, the section of the text covered and the assigned problems at the top of each assignment.
Grading:
Item
Points
% of Grade
Homework Folder
Class Participation
150
15%
7 quizzes:
Keep the best 5 scores, no makeups
250
25%
Midterm
300
30%
Final
300
30%
Total
1000
100%
Letter Grade
Letter
Number of Points
Percentage
A
900-1000
90 - 100%
B
800 - 899
80 - 89%
C
700 - 799
70 - 79%
D
600 - 699
60 - 69%
F
000 - 599
00 - 59%
Late Submission of Course Materials:
You are expected to come to class prepared to participate and discuss the readings. If you cannot attend a class session, items due during that missed session may be turned in the following class session. There are no makeup's for missed quizzes but I am only keeping the 5 highest scores so if you miss a quiz, this can be one of the dropped scores. You are responsible for reviewing any missed material and for asking questions regarding the missed material. If you have to miss a class, please talk to me in advance to avoid receiving an unexcused absence. The final exam cannot be made up if the student has an unexcused absence.
Classroom Rules of Conduct: Students will treat all students with respect. Cell Phones and pagers should be turned on vibrate before entering the classroom. If you must take a call, I expect you to leave the room while you do so. I consider it academic misconduct for you to be using your cell phone or other electronic equipment in class. Headphones, CD players and other electronic devices are not allowed without instructor permission.
Course Topic/Dates/Assignments:
Week
Date
Day
Topics
1
10/23/2010
Saturday
Introductory Work
Chapter 1: Review of the Real Number System
Chapter 2: Linear Equations, Inequalities, and Applications
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Why are lower class text books so bad
This is a discussion on Why are lower class text books so bad within the A Brief History of Cprogramming.com forums, part of the Community Boards category; Well I'm tutoring again this semester and have picked up a bunch of math classes.
One thing I've noticed on ...
Why are lower class text books so bad
Well I'm tutoring again this semester and have picked up a bunch of math classes.
One thing I've noticed on both the math and the programming courses is that the lower classes' books are just down right crap. The examples and problems they give are as clear as mud, the book itself is cheaply made, and there is nothing interesting in them.
My calc book has a bunch of side information about different things such as applications of ideas, tid bits on the history of the people that developed some of the theories, etc.
You'd think that the lower books would be better made since they are more important, but nope they find the biggest moron they can to write them.
>>Why are textbooks so darn expensive anyways. In China the textbooks are mass thin and paperback and cost like 1$<<
I doubt that they pay for text books period - as it is still a Communist country. But I rather pay for my books and read "correct" (I use this word with caution) information, rather then about the rhetoric of the "glorious red party and its magnificent leaders throughout history - Hail Stalin!"
Children in North Korea learn that King Jong is a demi god... yey pinkos!
As for textbooks, why spend $60-120 on a heavy, picture, big book when u can get the same amount of knowledge from a 200 page novel sized book. You can't say that our textbooks are bad. After all Chinese people are known for their math abilities
I guess that as the smart authors are writing the higher level books, that leaves whom for the lower level classes ?
In addition, the textbook is made by the lowest bidder.
I don't think chinese books on maths are bad, after all maths is a subject that you cannot influence. No matter how much the communist party would like 1 + 1 to be 3, despite it's power to crush students with tanks, it won't be able to change that simple definition. I wouldn't want kids to read chinese books on history or economy or health care though.
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"Advances in Discrete Tomography and its Applications" is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge... more...
Dig into problem solving and reflect on current teaching practices with this exceptional teacher's guide. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they... more...
Systems and their mathematical description play an important role in all branches of science. This book offers an introduction to mathematical modeling techniques. It is intended for undergrad students in applied natural science, in particular earth and environmental science, environmental engineering, as well as ecology, environmental chemistry, chemical... more...
Updated and expanded, this second edition satisfies the same philosophical objective as the first -- to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is... more...
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active... more...
This book looks at the process of human cognition and the way complex problems are solved by decomposing them into a list of strategic objectives, before focusing individually on each objective to plan for a tactical solution. This process has been formulated by military planners in the form of the Standard Operating Procedure, by which problem solving... more...
Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and... more...
Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary... more...
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Graphic Arts Problem Solving math workbook is designed from a printing perspective and aimed at adults in graphic arts. It stresses the importance of increasing students' confidence by teaching basic math skills and by applying them to the equipment, techniques and procedures involved in printing. The text uses a practical, problem-solving approach. Theories are supported by real-life examples and concrete situations such as estimating and production planning.
Preface
Acknowledgments
Skill Builders
Pretest
Addition
Introduction
A New Way To Add
Long-List Addition
Checking Addition
Casting Out Nines
Subtraction
Addition Done Backwards
Simplifying Subtraction
Checking Subtraction
Multiplication
Multiplication table Patterns
The Peasant's Multiplication Method
Numbers that End in Five multiplied
Another Multiplication Technique
Multiplying
Multiplying Near One Hundred
Zeros in Multiplication
Simplifying Multiplication Problems
Checking Multiplication
Division
Reverse Multiplication
Peasant's Division Method
Making the Hard Problems Simple
Canceling Zeros
"Nearly Right," or Rounding Your Answers
Predicting Remainders
Decimals and Percentages
Decimal-The Basics
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Percentages
The 24-Hour Clock and the Decimal Clock
Basic Fractions
Fractions! What Are They? The Inch Ruler
Testing the Equality of Fractions
Simplifying Fractions
Fractions that Are "Not Proper."
Adding and Subtracting Fractions
Adding and Subtracting Mixed Numbers
Multiplication and Division of Fractions
Multiplying Fractions
Multiplying Whole and Mixed numbers
Converting and Reducing Fractions
Dividing Fractions
Canceling to Simplify Fractional Problems
Avoiding Confusion in Dividing Fractions
Problem Solving
Measurement Used in Printing
Customary Measurement
International Measurement
SI Area Measurement
Points and Picas
Adding and Subtracting Points & Picas
Ems, Ens, & Thins
Triangulation
Temperature
Design and Copy Preparation
Ratios
Proportions
Scaling with the Calculator
Scaling with the Proportion Wheel
Cropping
Other Uses for Proportions
Desktop Publishing
Type Parameters
Eight Easy Steps to Copyfitting
Costing Desktop Publishing
Process Photography
Exposure Controls
The Two Types of Copy
Establishing the Correct Exposure
The Light Integrator
The camera Operator's Sensitivity Guide
Image Assembly
Stripping Screens & Halftones
Dot Percentage
Screen Ruling
Screen Angle
Pressroom
The Offset Principle
The pH Scale
Conductivity
Densitometry
Micrometer
Bindery & Finishing
The Signature Dummy
Folding
Making a Dummy in Six Simple Steps
Checking for Correct Pagination
Imposition
Planning for Color
Printing Management
The Importance of Record Keeping
Averages
Graphics & Charts
How Charts Can Confuse & Distort the Facts
Interest
How to Make Money with Other People's Money (O.P.M.)
Return on Investment
Discounts
Your Paycheck, benefits, Taxes, & Withholdings
Statistical process Control (S.P.C.)
Paper Use
The Ways Paper Is Packaged
How to Read a Paper Label
How to Read a Paper Catalog
Paper Cutting
Estimating & Production Planning
Who is the Estimator?
The Estimator's Paperwork System
Some Estimating Decisions
Policies
Graphic Arts Tools
Calculator
Rulers
Line Gauges, and Scales
Proportion Wheel
Micrometer
Gray Scale
Roman Numerals for the Printer
Roman Numeral Reference Table
Useful Tables
Fraction to Decimal to Metric (mm)
Conversion Chart for Denominators of 2, 4, 8, 16, 32, & 64
Fraction to Decimal Conversion Chart for Denominators of 5 & 10
Fraction to Decimal Conversion Chart for Denominators of 9
Pica to fraction to Decimal Conversion Chart for Denominators of 3 & 6
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About the Book
The resource math teachers have been waiting for is finally here!
Volume Two of the Van de Walle Professional Mathematics Series provides practical guidance along with proven strategies for practicing teachers of grades 3 through 5. In addition to many of the popular topics and features from John Van de Walle's market-leading textbook, "Elementary and Middle School Mathematics," this volume offers brand-new material specifically written for these grades. The expanded grade-specific coverage and unique page design allow readers to quickly and easily locate information to implement in the classroom. Nearly 200 grade-appropriate activities are included. The student-centered, problem-based approach will help students develop real understanding and confidence in mathematics, making this series indispensable for teachers! Big Ideas provide clear and succinct explanations of the most critical concepts in 3-5 mathematics. Problem-based activities in Chapters 2-12 provide numerous engaging tasks to help students develop understanding. Assessment Notes illustrate how assessment can be an integral part of instruction and suggest practical assessment strategies. Expanded Lessons elaborate on one activity in each chapter, providing examples for creating step-by-step lesson plans for classroom implementation. A Companion Website ( provides access to more than 50 reproducible blackline masters to utilize in the classroom. The are provided in the appendix for teachers' reference. About the Authors
John Van de Walle is Professor Emeritus at Virginia Commonwealth University. He is a co-author of "Scott Foresman-Addison Wesley Mathematics," a K-to-6 textbook series, and the author of "Elementary and Middle School Mathematics: Teaching Developmentally," the best-selling text and resource book on which this professional series is based.
LouAnn Lovin is a former classroom teacher and is currently an assistant professor in mathematics education at James Madison University, where she teaches mathematics methods and mathematics content courses for Pre-K-8 prospective teachers and is involved in the mathematical professional development of teachers in grades 4-8.
Collect all three volumes in the Van de Walle Professional Mathematics Series! Each volume provides in-depth coverage at specific grade levels. Learn more about the series at
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allows students to attempt to discover concepts in a "Socratic" dialog with the computer. The discussion avoids the formal "definition-theorem" approach and promotes active involvement by the reader by its questioning style. An instructor using this text can expect a lively class whose students develop a deep conceptual understanding rather than simply manipulative skills. Topics covered in this book include: the propositional calculus, operations on sets, basic counting methods, predicate calculus, relations, graphs, functions, and mathematical induction
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More About
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Overview
Economics students will welcome the new edition of this excellent textbook. Mathematics is an integral part of economics and understanding basic concepts is vital. Many students come into economics courses without having studied mathematics for a number of years. This clearly written book will help to develop quantitative skills in even the least numerate student up to the required level for a general Economics or Business Studies course. This second edition features new sections on subjects such as:
matrix algebra
part year investment
financial mathematics
Improved pedagogical features, such as learning objectives and end of chapter questions, along with the use of Microsoft Excel and the overall example-led style of the book means that it will be a sure fire hit with both students and their lecturers 2004
very readable
This book is a great introduction for students with a limited math background, or a good review for those away from math for awhile. It is ideally suited to the math needs of senior undergraduate and masters level economics students (hence the word basic).
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged.
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Known for many years as Barron's Easy Way Series, the new editions of these popular self-teaching titles are now Barron's E-Z Series. Brand-new cover designs reflect all new page layouts, which feature extensive two-color treatment, a fresh, modern typeface, and more graphic material than ever— charts, graphs, diagrams, instructive line illustrations, and where appropriate, amusing cartoons. Meanwhile, the quality of the books' contents remains at least as high as ever. Barron's E-Z books are self-help manuals focused to improve students' grades in a wide variety of academic and practical subjects. For most subjects, the level of difficulty ranges between high school and college-101 standards. Although primarily designed as self-teaching manuals, these books are also preferred by many teachers as classroom supplements—and for some courses, as main textbooks. E-Z books review their subjects in detail, and feature both short quizzes and longer tests with answers to help students gauge their learning progress. Subject heads and key phrases are set in a second color as an easy reference aid.
An experienced math teacher breaks down Barron's E-Z Precalculus into easy-to-follow lessons for self-teaching and rapid learning. The book features a generous number of step-by-step demonstration examples as well as tables, graphs, and graphing-calculator-based approach. Major topics include: algebraic methods; functions and their graphs; complex numbers; polynomial and rational functions; exponential and logarithmic functions; trigonometry and polar coordinates; counting and probability; binomial theorem; calculus preview; and much more. Exercises at the end of each chapter.
About The Author: Lawrence Leff is Assistant Principal and Chairman of the Mathematics Department at Franklin D. Roosevelt High School, New York City.
Table of Contents:
Preface STUDY UNIT I: ALGEBRA AND GRAPHING METHODS
Basic Algebraic Methods
Rational and Irrational Expressions
Graphing and Systems of Equations
Functions and Quadratic Equations
Complex Numbers and the Quadratic Formula STUDY UNIT II: FUNCTIONS AND THEIR GRAPHS
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Abstract
With this book, the same as in previous editions, Chapra and Canale intend to provide a solid training in numerical methods by means of a pleasant and attractive approach that motivates the reader to study the subject and enjoy while doing it. The authors use programming as a powerful tool to implement models and experiment with them, generating a greater enthusiasm on the reader and, as a consequence, a better understanding of the problems developed, which are applied to Engineering and Physics.
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Overview
Our world has become more complicated, and the notion of growth at any cost has led to constant economic uncertainty, a permanently stressed-out workforce, and everyday stories of government and corporate corruption. John K. White argues that a better knowledge of basic systems is needed to understand the world we live in, and one place to start is with counting and mathematics. Without an understanding of mathematics, we make poor personal financial choices, and we can't make the important decisions about government bailouts, oil supplies, or global warming. Do the Math! uses creative examples—borrowing liberally from the anecdotal and the academic, from literature and the newspaper, and from the stock market and the casino—to provide a thought-provoking guide to better understanding the world around us.
Editorial Reviews
Guillermo Wated
"This book is easy to understand and very readable. I very much enjoyed the author's ability to use fables to explain mathematical concepts, he does manage to capture the reader's attention right from the beginning."
Stephen N. Kitzis
"I personally love the unabashed connection to morality, what you should do versus what you can do, which rarely shows up in books today."
Nancy Sonleitner
"The key strength is in the description of the problems that greed has created, and the impact that has on our physical and social environment. Equipping students with the knowledge to look at statistical reports on the economy, for example, and to be skeptical and know that there is more to the story in the numbers is very valuable, and could help make better consumers."
Terry F. Pettijohn II
"The key strengths of the text are the numerous examples and stories related to connecting political, economic, cultural, scientific, and mathematical concepts. Some stories are classic tales, some are current events, and others are hypothetical situations that all make the reader think and provide excellent visual matter."
John Bohte
"The author does a good job demystifying some pretty sophisticated mathematical concepts through the use of engaging and entertaining examples."
Steve B. Lem
"Students…benefit from an understanding of the role of statistical analysis, probability and calculus in governmental systems, historical trending and political prediction. The text encourages readers to consider the larger implications of fundamental mathematical concepts."
Product Details
ISBN-13: 9781412999595
Publisher: SAGE Publications
Publication date: 3/14/2012
Pages: 392
Product dimensions: 6.00 (w) x 8.90 (h) x 0.80 (d)
Meet the Author
John K. White (Ph.D.) has a B.Sc. from the University of Waterloo, Canada, and a Ph.D. from University College, Dublin in Applied Physics. Currently, he is a lecturer and Research Fellow at University College, Dublin. However, over the past 25 years, he has also worked as Project Manager and Technical Writer for Sun Microsystems, as a Computational Analysis/Technical Writer for Berminghammer Foundation, Consultant for Interactive Image Technologies for ScotiaBank, and Programmer/Computational analyst for the Ontario Government. He has a wide range of interests and is also active in promoting science and physics in secondary schools. He has published widely in a range of areas in academic journals, has contributed chapters to edited volumes, and has authored a number of technical publications.
Table of Contents
Chapter 1. The doubling game: From Thomas Malthus to Bernie Madoff
Chapter 2. She told two friends and they told two friends and they told two friends and...
Chapter 3. The mathematics of change: A new world model
Chapter 4. Fairness and uncertainty: Who watches the watchers?
Chapter 5. Statistics made simple: The science of weighting
Chapter 6. A case for correlation: Sampling and inference from Shakespeare to death row to sports competitiveness
Chapter 7. Counting and computers: From Boole to Google and back
Chapter 8. Who to believe? Numbers and the art of deception
Chapter 9. Two kinds of people: Those who divide and those who don't
Chapter 10. How to get along: Be nice, clear your ice
Chapter 11. Cooperation: The art and science of agreement
Chapter 12. The roots of economic disaster: Making money from money
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This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated... more...
This is the second revised edition of an introduction to contemporary relative homological algebra. It supplies important material essential to understand topics in algebra, algebraic geometry and algebraic topology. Each section comes with exercises providing practice problems for students as well as additional important results for specialists. The... more...
This is a unique collection of advice from some of the most respected and widely-read authors in mathematics education The chapters are extremely valuable references for supporting research foci Each chapter takes on critical issues in mathematical education that cut across many research agendas more...
The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the ?cannonball" packing. In a landmark result, this was proved... more...
Presents state-of-the-art research on early childhood mathematics education Discusses starting points for research by providing open research questions Focuses on the tension between instruction and construction of knowledge Includes research on design of learning opportunities and development of mathematical thinking more...
The principle of Transformation is used to shape discussions of mathematics theory Discontinuity in mathematics education is addressed and real world examples given to solve this problem Teaching and learning geometry provides a context for understanding transformation in mathematics education more...
Standard reference work for researchers in this area First supplementary volume to the revised and enlarged third edition of General Lattice Theory ( Lattice Theory: Foundations ) Together with Foundations the most comprehensive work on an explosively growing field more...
Children learn about number by talking and doing. Close observations of infants at home, children in primary classrooms, and day to day interactions, together with interviews with pupils, illuminate the learning, and therefore the teaching, of mathematics to children as they move from preschool to the end of primary school. more...
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Greeting, I am a sophomore in senior high and need a fair amount of assistance in ac method on calculator. My mathematics scores are poor and I have decided to do something about this frustration. I am searching for a internet site that will allow me to insert a math problem and furnishes a detailed stepwise solution; essentially the software absolutely must take someone through the whole solution. I truly wish to better my grades so please assist me.
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The Vector Algebra Tools are a comprehensive set of vector algebra calculators that are specifically designed for the study of vectors and vector algebra applications in high school and first year of college. Includes an authoritative workbook and user's guide with on-screen text that highlights key vector algebra concepts and contains numerous worked examples.
What did students learn? Developed a better understanding of vectors and their application in physics and mathematics. A very easy to use set of core vector algebra tools that enables students to tackle numerous problem sets and promotes a better understanding of vector concepts and problem solving applications in mathematics and physics using vectors. No need for a chalk board with this tool – just a projector and screen
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People who learn to solve problems 'on the job' often have to do it differently from people who learn in theory. Practical knowledge and theoretical knowledge is different in some ways but similar in other ways - or else one would end up with wrong solutions to the problems. Mathematics is also like this. People who learn to calculate, for example, because they are involved in commerce frequently have a more practical way of doing mathematics than the way we are taught at school. This book is about the differences between what we call practical knowledge of mathematics - that is street mathematics - and mathematics learned in school, which is not learned in practice. The authors look at the differences between these two ways of solving mathematical problems and discuss their advantages and disadvantages. They also discuss ways of trying to put theory and practice together in mathematics teaching.
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Islands
(Real World Math: Ge Like New(2 Copies):
Like New 2009. Library Binding. Fine.
Powell's Bookstores, Chicago
IL, USA
$7.57
FREE
About the Book
This book uses math and science to help students learn about Islands. Math challenge questions provide students with the opportunity to apply math skills as they learn about the characteristics of islands.
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Smart Guide to High School MathSmart Guide to High School Math is a book designed to cut to the chase and enable all levels of students to get what they need - and only what they need - out of high school math. Some students will only need enough algebra to get past an exit exam, but some students will want to prepare for careers in which math plays an important part.Some students have a natural talent for doing mathematics, but to many students math courses seem to be a bewildering array of unrelated formulas and techniques that have to be memorized - and are often forgotten during an exam, just when they are most needed. Smart Guide to High School Math shows you the organizing principles and key ideas that simplify algebra, geometry, and trigonometry, enabling you to get much more out of your math class - including higher grades - with less work.The dirty little secret that all math teachers know is that math is easy when you understand it - and very difficult if you don't. Countries such as Japan, Singapore, and Hong Kong traditionally score well on international math comparison studies.. These countries teach students the basic principles and how to use these principles. They teach math in depth rather than teaching a huge amount of material. In math, the most important thing is to know a few ideas really well. Smart Guide to High School Math tells you exactly what these ideas are. You still have to work - but you won't have to work as hard and you'll get a lot more out of your courses.
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INSTRUCTOR EDITION.ALL ANSWERS INCLUDED. Identical to student edition. NO CD or ACCESS CODE.Small Tape on cover.SHIPS FAST!! SAME DAY OR W/N 24 HOURS.EXPEDITED SHIPPING AVAILABLE ...TOO!!Read moreShow Less
<b style='color: #000'>Book has signs of cover wear. Inside pages may have highlighting, writing and/or underlining. Used books may have stickers on them.</b> Ships same day or ...next business day. Free USPS Tracking Number. Excellent Customer Service. Ships from TNMore About
This Textbook
Overview
Larson IS student success. INTERMEDIATE ALGEBRA: ALGEBRA WITHIN REACH owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Sixth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.
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Math Water Table is an online liquid simulator. (Former obbliq)To get the area of a limited number of shapes (rectangles and...
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Math Water Table is an online liquid simulator. (Former obbliq)To get the area of a limited number of shapes (rectangles and triangles)To verify the area formulas of some limited geometrical shapes.Video help at: Ideas: useful to explain multiplication and division. The old program is in the mirror Water Table (former obbliq) to your Bookmark Collection or Course ePortfolio
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This class examines frameworks for making and sharing visual artifacts using a trans-cultural, trans-historical,...
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This class examines frameworks for making and sharing visual artifacts using a trans-cultural, trans-historical, constructionist approach. It explores the relationship between perceived reality and the narrative imagination, how an author's choice of medium and method of construction constrains the work, how desire is integrated into the structure of a work, and how the cultural/economic opportunity for exhibition/distribution affects the realization of a work. Students submit three papers and three visual projects. Work is discussed and critiqued in class. Students present final projects an exhibition at the end of term. Instruction and practice in written and oral communication Methods: Seeing and Expression to your Bookmark Collection or Course ePortfolio
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Art students can experiment with one point perspective of a cube. Students can move the vanishing point around, move...
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Art students can experiment with one point perspective of a cube. Students can move the vanishing point around, move the front of the cube and play with a slider to change the length of the side. Students can also switch between isometric view and perspective Point Perspective to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material One Point Perspective yourAccording to The Orange Grove, "A self paced and question oriented text to help artists determine goals, direction and your...
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According to The Orange Grove, "A self paced and question oriented text to help artists determine goals, direction and your voice. Many artists find it hard knowing how to make their dreams come true. This workbook is a step by step process to help artists articulate their dreams and find paths to make them happenway To Dreams to your Bookmark Collection or Course ePortfolio
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The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in...
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The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and03SC Differential Equations (MIT) to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material 18.03SC Differential EquationsAnalysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some...
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Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oralA Introduction to Analysis (MIT) to your Bookmark Collection or Course ePortfolio
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Select this link to open drop down to add material 18.100A Introduction to AnalysisThis course provides students with the basic analytical and computational tools of linear partial differential equations...
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This course provides students with the basic analytical and computational tools of linear partial differential equations (PDEs) for practical applications in science engineering, including heat/diffusion, wave, and Poisson equations. Analytics emphasize the viewpoint of linear algebra and the analogy with finite matrix problems. Numerics focus on finite-difference and finite-element techniques to reduce PDEs to matrix303 Linear Partial Differential Equations: Analysis and Numerics (MIT) to your Bookmark Collection or Course ePortfolio
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This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on...
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This is an advanced interdisciplinary introduction to applied parallel computing on modern supercomputers. It has a hands-on emphasis on understanding the realities and myths of what is possible on the world's fastest machines. We will make prominent use of the Julia Language software337J Parallel Computing (MIT) to your Bookmark Collection or Course ePortfolio
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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Helpful for college, high school, and homeschooled students, this book is for those who struggle with math in science. Scientific notation, algebra, geometry, trigonometry, and vector concepts are addressed as used in the sciences, with examples and exercises. Readers will gain proficiency with using math as the language of science. All answers are provided. Try the problems. Check your answers. With a little Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!! All answers are provided. Try the problems. With a little Practice, Practice, you'll be Perfect, Perfect. Good Luck!!! Answers to all the questions All answers to the questions are provided Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!!! All answers are provided. Try the problems. With a little Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck! Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!!! Following each chapter are the answers to all problems. Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect. Good Luck! Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!!! Answers Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!! Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck! Following each chapter are the answers for each problem. Try the problems. Practice, Practice, Practice Following each chapter are the answers for each problem presented in the chapter. Try the problems. Check your answers Try the problems. With a little Practice, Practice, Practice, you'll be Perfect, Perfect, Perfect. Good Luck!
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978-0-7216-1255-3 / 9780721612553
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems. Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory. Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..
Hardcover, ISBN 0721612555 Publisher: W.B.Saunders 67
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Hardcover, ISBN 0721612555 Publisher: W.B. Saunders, 1971 Philadelphia, Pennsylvania: W.B. Saunders, 1971. Book. Good +. Hard Pictorial Cover. American First.
Hardcover, ISBN 0721612555 Publisher: W.B. Saunders, Philadelphia, Pennsylvania, 1971 Used - Good.; includes dustjacket (MATHEMATICS)
Hardcover, ISBN 0721612555 Publisher: Saunders, 1971 Acceptable, Usually ships within 1 - 2 business days, Ships from the USA. Please allow 14-21 business days for delivery. Free State Books. Never settle for less.
Hardcover, ISBN 0721612555 Publisher: Saunders, 1971 Used - Good, Usually ships in 1-2 business days, In stock and ready for immediate shipment. Shipped from the US to arrive in 9-15 business days. Order inquiries handled promptly.
Hardcover, ISBN 0721612555 Publisher: Saunders, 1971721612555 Publisher: W.B.Saunders, 1971 Used - Acceptable, Usually dispatched within 1-2 business days, Ships from the USA. Please allow 2 to 3 weeks for delivery. Never settle for less.
Hardcover, ISBN 0721612555 Publisher: W.B.Saunders, 1971 Used - Acceptable, Usually dispatched within 1-2 business days, Ships from the USA. Please allow up to 21 business days for delivery. Book selection as BIG as Texas.
| 677.169 | 1 |
AP Central
AP Calculus Updates
Updates to AP Calculus AB and AP Calculus BC will take effect in the 2016-17 school year. Learn more.
Exam Content
In 1956, 386 students took what was then known as the AP Mathematics Exam. By 1969, still under the heading of AP Mathematics, it had become Calculus AB and Calculus BC. The AP Calculus AB Exam covers differential and integral calculus topics that are typically included in introductory calculus courses at the college level. Because graphing calculator use is an integral part of the course, the exam contains questions that require students to use a graphing calculator.
If students take the AB exam, they cannot take the BC exam in the same year because the exams share some questions.
Below are free-response questions from past AP Calculus AB Exams. Included with the questions are scoring guidelines, sample student responses, and commentary on those responses, as well as exam statistics and the Chief Reader's Student Performance Q&A for past administrations.
AP Calculus Free-Response Question Collections (official Calculus AB and BC free-response questions and solutions from before 1998) are available for purchase and download at the College Board Store. AP Calculus Free-Response Question Collections
Note about "Form B" Exams
Prior to the May 2012 exam administration, for selected AP subjects, another version of the exam called "Form B" was administered outside of North, Central, and South America
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Chegg Textbook Solutions for A First Course in the Finite Element Method 5th Edition: Chapter 1
Chapter:Problem:
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Finite element is nothing but dividing an infinite numbers of
degree of freedom into elements with finite numbers of degrees of
freedom. Finite element is a numerical method to approach the
mathematical physics and engineering problems. Such as structural
analysis, heat transfer, mass transfer, fluid flow and
electromagnetic potential and etc
| 677.169 | 1 |
More About
This Textbook
Overview
From the Reviews:
"...He (the author) uses the language and notation of ordinary informal mathematics to state the basic set-theoretic facts which a beginning student of advanced mathematics needs to know.
...Because of the informal method of presentation, the book is eminently suited for use as a textbook or for self-study. The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics."
Philosophy and Phenomenological Research
Editorial Reviews
From the Publisher
From the reviews:
"This book is a very specialized but broadly useful introduction to set theory. It is aimed at 'the beginning student of advanced mathematics' … who wants to understand the set-theoretic underpinnings of the mathematics he already knows or will learn soon. It is also useful to the professional mathematician who knew these underpinnings at one time but has now forgotten exactly how they go. … A good reference for how set theory is used in other parts of mathematics … ." (Allen Stenger, The Mathematical Association of America, September, 2011
| 677.169 | 1 |
0878915648
9780878915644
Details about Algebra:
Specifically designed to meet the needs of high school students, REA's High School Algebra Tutor presents hundreds of solved problems with step-by-step and detailed solutions. Almost any imaginable problem that might be assigned for homework or given on an exam is covered. Starting with topics under algebraic laws, the book includes linear and quadratic equations, inequalities, logs and exponentials, and extensively illustrated applications to area/perimeters, motion, mixtures/fluid flow, numbers/digits/coins, age, work, proportions, variations, and costs. Fully indexed for locating specific problems rapidly.
Back to top
Rent Algebra 2nd edition today, or search our site for M. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Research & Education Association.
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"Ram's Easy Way to Learn Mathematics" is special new edition. Mathematics is simplified
in this unique book. This particular Mathematics book which is an innovative, interesting
and prospective for everyone from beginning to conclusion.
Mathematics is like music. The more you practice, the more you enjoy it and perform
better. Once you start enjoying Mathematics every day, automatically you ignore and
forget that you not liked it some times ago. You feel happy to learn.
Many people think that Mathematics means simply some numerical calculations. Think,
is it true? The subject creates and gives many ideas and inputs to mind. Once Mathematical
skills developed naturally these skills will transfer into other science fields.
Through this book one can learn Mathematics easily, perfectly and comprehensively
to teach clearly in less time with help of systematic learning methods from four
key sections "Arithmetic, Algebra, Geometry and Graphs", through "visualization,
observation and imagination".
In Mathematics imagination plays a predominant roll rather than a visible picture.
This book helps to understand and memorize easily the essential Mathematical inbuilt
systems at a glance. Thus, extension of Maths Knowledge is possible.
Many students are finding difficulty to learn Maths due to various reasons. Nowadays,
the majority of students are worried about questions and answers only. Students are
not concentrating on concepts to learn. They are only bothered to score marks. We
have to change this type of learning attitude.
This book gives a clear idea about various topics. Teachers can improve their teaching
skills by following this book. . .
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You are here
This topic enables students to understand the conceptual derivation of trigonometric ratios . It also focuses on the use of sine and cosine rules in solving problems involving triangles and three dimensional figures.
This topic enables the students to develop abstract thinking in mathematics through understanding the derivative of functions.In addition, the students will appreciate the usefulness of differentiation in solving related real life problems and in other areas of study.
| 677.169 | 1 |
Math 190 Basic Mathematics
Friday, May 4, 2012
Math 190 Course Assessment Area
The Math 190 course is the first course in the developmental math series of courses.Students enter this course by taking the Math Accuplacer Placement test.Because this is the first course in the series, students by default end up in this course.Therefore, students taking this course come at varied math levels.Because the grade levels are varied, instructors have to focus on a key set of skills mentioned in the course outline.These skills are outlined in the student learning outcomes.
A pretest was conducted at the beginning of the Spring 2012 semester.Towards the end of the semester, a different form of the same test was used to conduct a post-test.
| 677.169 | 1 |
Browse related Subjects ...
Read More procedures. Understanding Algebra call-outs highlight key points throughout the text, allowing readers to identify important points at a glance. The updated examples use color to highlight the variables and important notation to clearly illustrate the solution process 0131400592 GREAT shape! May have some minor physical wear, light to NO markings/highlights
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ISBN-13:9780387517971
ISBN:0387517979
Publisher:Springer-Verlag
is the best place for cheap Combinatorial Optimization: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (Lecture Notes in Mathematics) rentals, or used and new condition books available to purchase and have shipped quickly.
| 677.169 | 1 |
Chapter Summary
Image Attributions
Description
This lesson plan introduces the students to the concept of numerical integration. The Euler numerical integration method is then used to simulate the trajectory of a model rocket to predict maximum height.
| 677.169 | 1 |
purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background, and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible, and using concrete examples as illustration. Thus it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.
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Most Helpful Customer Reviews forward or are retracing old ground. Published in the recreational mathematics e-mail newsletter, reprinted with permission.
I have used many of Robert Ash's book, including "Information Theory", which was his first published textbook based on notes he used at Columbia University to teach a course by the same name and which were subsequently used by other instructors, and "Basic Probability Theory". His books all have the same characteristic: simple direct introduction to the subject, powerful penetration to the core of the subject matter with no clutter and a deceptively comprehensive coverage in a succint manner. Any time spent with any of his books is well spent. In this instance I can not think of a better introduction to abstract mathematics. As another reviewer noted, the treatment of linear algebra is evidence of Ash's concise and powerful method. Having said this I would strongly reccomend, as Ash himself does, that the reader consult other books to flesh out the treatment, or better still to create and work through his own examples and exercises. Highly recommended!
This book, as promised was in excellent condition and came in a timely manner. I'm using this book for a discrete mathematics course, and it serves as a very helpful tool in understanding what is going on. forward or are retracing old ground. Published in the recreational mathematics e-mail newsletter, reprinted with permission.
| 677.169 | 1 |
Where can you find answers for Saxon Math problems?
A:
Quick Answer
Saxon Math answer guides can be purchased from publisher Houghton Mifflin Harcourt or from other vendors of the curriculum. Saxon Math is a popular curriculum that incorporates incremental learning, highlighting the ongoing use of principles once they have been introduced.
Keep Learning
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.
Related 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.
One summary problem is, "What geometric shapes do each of these solids [a rectangular pyramid and a cylinder with a cylindrical hole going through it] contain?" A possible answer is, "The solids contain lines, segments, collinear and coplanar points, acute and right angles, triangles, a rectangle and concentric circles."
Companies such as Tutor Teddy, My Homework Help and Chegg offer assistance with economics homework. For example, Tutor Teddy allows users to submit questions online and receive an answer within one to five hours for free, or faster if they are willing to use the paid service.
Biology test answers can be found on many websites to include Science Kids and Biology Questions and Answers. Both websites offer answers to biology questions free of charge and do not require users to log in.
| 677.169 | 1 |
Re: Precalculus knowledge for learning Discrete Math CS topics?
Hey eindoofus.
The stuff in discrete math is not like the stuff in calculus: Discrete math deals with the exact opposite things that are dealt in calculus in which calculus deals with limits of all sorts and things that are continuous.
I'd be at least prepared for chapter 1, 4, 5, and 7: it's not that you will directly use all the stuff in these chapters, but it will make understanding the new stuff a lot easier IMO.
Basically one way to think about this, is that instead of looking at numbers and vectors, you are looking at specific kinds of structures that are based on sets and these structures will have a finite number of things in them where you look at relationships between the things and breaking down the whole set into parts and seeing what the implications of this are.
This is the hardest thing for a lot of new students studying this because it is not like normal mathematics where you expect everything to be a number or a function: it starts from the idea that you have a collection of objects (i.e. a set) and then you put structure into the objects themselves (graphs, trees, languages, grammars, Turing Machines, etc) and then you break things apart slowly and steadily to understand them.
| 677.169 | 1 |
Description
This course will cover the topics normally covered in a high school geometry course. This course is normally taken by students in grade nine or ten. Students should have completed Algebra 1 before enrolling in Geometry. A detailed course outline is shown below.
Fees
The cost of the course is $78 per month for nine months for students attending a live class on-site, $58 per month for distance learners. Registration fees for homeschool classes at various locations (LAC, LEAD, Dunwoody, etc) will also apply. Students will need to purchase a copy of the "Student Workbook", which should be around $20 each semester. Students may borrow a copy of the textbook from the teacher at no charge, and videos of the class lectures will be provided online at no additional cost.
Lecture Notes and Class Time
Class time will primarily be spent on instruction. Students should bring their Student Workbook to each class, or a printout of the pages for that week. The pages of the workbook are identical to the instructor's lecture notes, except the student version has the solutions and answers deleted. During the lecture the students take notes and solve the example problems in the workbook.
Videos of the lectures are also available online, and these videos go through the same lecture notes, point by point. Students use the videos to cover any material that time constraints did not permit us to cover in our weekly class. Or, if a student misses a class or needs to review the material, all of the course content is available online. It is possible to take the entire course online via distance learning, and many students have done so.
Textbook Geometry: Seeing, Doing, Understanding by Howard R. Jacobs, 3rd Edition, published by W. H. Freeman, 2003. This is an extremely readable and engaging math textbook. The text emphasis Euclidean geometry and explains the importance of logical reasoning and proof in mathematics. It has numerous practical and interesting examples and shows the many applications of geometry in the real world. It also touches on some important topics in analytic geometry (geometry in the coordinate plane), a topic that is essential for much further study in mathematics.
Homework, Tests and Grades
Students will be given specific assignments to do on their own each week. Assignments will consist of additional lectures delivered on the computer, problems to practice, and homework assignments that will be collected and graded. To allow for the maximum amount of instructional time in class, tests will be given at home. One final exam for each semester will be taken in class at the end of the semester. Students will receive a numerical grade for each semester and for the year. The grade is calculated based on tests, graded homework and the final exams.
Difficulty Level
The question is often raised, "When should a student take Geometry?" Geometry is somewhat different from the other high school math courses. The main sequence of algebra courses is typically, in order: Prealgebra -> Algebra 1 -> Algebra 2 -> Precalculus. Geometry, while certainly related, is somewhat unique, and can be considered separately from the sequence of algebraic math courses. Most schools place Geoemtry between Algebra 1 and Algebra 2 simply because it is generally a bit harder than Algebra 1 but not as difficult as Algebra 2. This particular course is designed to be taken after Algebra 1. The course assumes that the students know basic algebra, and it also incorporates an Algebra Review lesson in most chapters so students don't lose touch with their Algebra skills during a year in Geometry. Although most students take one math class at a time, some students have taken this course concurrently with Algebra 2.
Not all students require the same pace and difficulty level. Some may need or prefer a class that is more challenging and at a faster pace, while some may desire a class that is not accelerated. This class is offered simultaneously on two difficulty levels, regular and honors. The lectures are the same for both. The honors students will have additional homework problems that are more difficult, and on each test will have an extra page with more challenging questions. Note that the honors class is not an AP class. It is simply a more challenging version of the same course. The goal is for the classes to closely correspond to "Regular Geometry" and "Honors Geometry" classes at a good private school. Students may decide whether they will take the regular or honors version of the course after completing one or two chapters.
Internet Access
Access to a computer with a high speed internet connection is strongly recommended, and is required for distance learning. Instructional materials such as lecture videos, lecture notes, homework assignments and tests will be available over the internet. Graded assignments and tests may also be returned via email in order to provide more timely feedback. Progress reports will be put on the website and updated regularly.
The Instructor
Derek Owens graduated from Duke University in 1988 with a degree in mechanical engineering and
physics. He taught physics, honors physics, AP Physics, and AP computer science at The Westminster Schools
in Atlanta, GA from 1988-2000. He worked at the TIP program at Duke for two years, teaching physics and
heading the Satellite Science Program. He received a National Science Foundation scholarship and
studied history and philosophy of science at L'Abri Fellowship in England. He worked as a software
developer for six years before returning to teaching. Since 2006, he has been a full time teacher for
homeschoolers in the Atlanta area. He and his wife Amor and their two children Claire and David
attend Twelve Stone Church, a non-denominational church near their home in Lawrenceville.
Course Outline
These topics comprise the material normally taught in a high school Geometry course.
Chapter 9: Area
Areas of Squares and Rectangles, Areas of Triangles, Parallelograms and Trapezoids, The Pythagorean Theorem
Chapter 10: Similarity
Ratios and Proportions, Similar Figures, the Side-Splitter Theorem, AA Similarity, Dilations, Perimeters and Areas of Similar Figures
Chapter 11: Right Triangles
Proportions in Right Triangles, The Pythagorean Theorem, Isosceles Right Triangles, 30-60-90 Triangles, The Tangent Ratio, Sine and Cosine, Slope, The Law of Sines, The Law of Cosines
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The Department of Mathematics and the Owen Graduate School of Management developed the MathServ technology to provide web access to the computer algebra system Mathematica, running on a remote server. MathServ allows the user to perform sophisticated, focused calculations with Mathematica without learning the Mathematica language and without purchasing the software. The Calculus Toolkit is a collection of programs that perform basic calculations using Mathematica, such as graphing, differentiating, and integrating. Each tool is composed of an html file and one or more def files. The html file permits the user to enter in standard mathematical notation the information necessary to perform a particular task, and the def file(s) contains the Mathematica program(s) to execute the task and format the output for the user. For example, to graph a function of a single variable, the information entered would be the function and its domain. Most of the tools are very simple, but one is highly interactive -- the Integration Assistant -- which guides the student through the process of finding an antiderivative.
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PrecalculusndBook has a small amount of wear visible on the binding, cover, pages. Selection81 +$3.99 s/h
Acceptable
TXTBookSales1 Evansville, IN
Instructor's edition, Loose binding
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don't have to be a genius to become an algebra ace-you can do it in just 15 minutes a day Packed with short and snappy lessons, Junior Skill Builders: Algebra in 15 Minutes a Day makes learning algebra easy. It's true: making sense of algebra doesn't have to take a long time . . . and it doesn't have to be difficult! In just one month, students can gain expertise and ease in all the algebra concepts that often stump students. How? Each lesson gives one small part of the bigger algebra problem, so that every day students build upon what was learned the day before. Fun factoids, catchy memory hooks, and valuable shortcuts make sure that each algebra concept becomes ingrained. With Junior Skill Builders: Algebra in 15 Minutes a Day, before you know it, a struggling student becomes an algebra pro-one step at a time. addition to all the essential practice that kids need to ace classroom tests, pop quizzes, class participation, and standardized exams, Junior Skill Builders: Algebra in 15 Minutes a Day provides parents with an easy and accessible way to help their children exce
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Mathematics for Economics
9780262582018
ISBN:
0262582015
Pub Date: 2002 Publisher: Mit Pr
Summary: This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.
Hoy, Michael is the author of Mathematics for Economics, published 2002 under ISBN 9780262582018 and 0262582015. ...Four Mathematics for Economics textbooks are available for sale on ValoreBooks.com, three used from the cheapest price of $1.78, or buy new starting at $19.88
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An interactive multimedia tutorial for healthcare professionals wishing to refresh math skills and learn how to calculate...
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An interactive multimedia tutorial for healthcare professionals wishing to refresh math skills and learn how to calculate medication dosages and intravenous (IV) rates. The tutorial has three modules. Each module has includes a quiz. The first module covers information about fractions, decimals, ratios, proportions, and percentage. The second module covers information about conversions, medication administration, and dosage calculation. The third module covers information about intraveneous infusions including tubing calculation and intraveneous flow rates. Key words: Medication calculation; Intravenous flow rate calculation; Mathematics principles-Calc Tutorial to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Med-Calc Tutorial
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Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Screening Physical Exam
Select this link to open drop down to add material Screening Physical Exam to your Bookmark Collection or Course ePortfolio
This learning resource is comprised of a series of tutorials on: 1) conversions, 2) abbreviations, 3) rounding, 4) fractions,...
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This learning resource is comprised of a series of tutorials on: 1) conversions, 2) abbreviations, 3) rounding, 4) fractions, 5) the metric system, 6) doing the math, and 7) syringes and labels. It includes games and practice questions. Many of the tutorials are also downloadable video podcasts that can be used with an iPod, iPad, or smartphone. The learning resource could be used by any healthcare professional student who is learning to administer medications or enrolled in an entry level pharmacology Dosage Calculations to your Bookmark Collection or Course ePortfolio
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Pappas has come up with yet another way to make math part of your life. MATH -A-DAY is not a calendar and not a reference book, but a compendium of mathematical information that will give you your math fix everyday. Each day - kick starts your brain with a problem or puzzle with detailed solutions included has a mathematical quote to inspire... more...
"The book is written in a clear and readable style. It can be recommended to anybody interested in scientific computing in the context of combining classical environments, like MATLAB ® , with the XML framework." ?Jaroslav Pokorný, Zentralblatt MATH 1263
"Modern computational science and engineering address realistic multi-physics applications... more...
Table of Contents Dedications, Foreword and acknowledgements 1 Introduction 1.1 The water problem?The UN vision 1.2 The energy problem?Vision of the Intergovernmental Panel of Climate Change 1.3 Multiphysics modeling of isothermal groundwater and geothermal systems 1.4 Modeling needs in the context of social and economic development 1.5 The need to... more...
The Finite Element Method in One Dimension. Further Applications in One Dimension. High-Order and Spectral Elements in One Dimension. The Finite Element Method in Two Dimensions. Quadratic and Spectral Elements in Two Dimensions. Applications in Mechanics. Viscous Flow. Finite and Spectral Element Methods in Three Dimensions. Appendices. References.... more...
"?The authors of the present book, who have extensive credentials in both research and instruction in the area of parallelism, present a sound, principled treatment of parallel algorithms. ? This book is very well written and extremely well designed from an instructional point of view. ? The authors have created an instructive and fascinating text.... more...
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Students performing at the Partially Proficient level have limited recall, recognition and application of basic facts and informational concepts.
Partially Proficient students perform simple routine procedures such as computing a sum, difference or product, and can use a specified procedure with some accuracy. These students have limited ability to demonstrate number sense by using place value concepts and fractions. Partially proficient students may havedifficulty with determining the appropriate operation for a given situation and with estimating their results.
Partially Proficient students can apply basic concepts of geometry and measurement. These students have a basic working knowledge of spatial sense, geometric properties and geometric relationships. Partially proficient students can sometimes use appropriate measurement tools accurately.
Partially Proficient students have a basic understanding of how quantities are related to one another and how algebra can be used to concisely represent and analyze those relationships. These students can recognize, describe, extend, and create simple patterns as well as solve simple problems involving functions.
Partially Proficient students have a basic understanding of how to apply the concepts and methods of data analysis, probability, and discrete mathematics. These students are able to read a graph, table, or chart.
Partially Proficient students can identify and use basic mathematical terms as well as apply some reasoning methods to solve simple problems.
Proficient
Students performing at the proficient level demonstrate recall, recognition and application of facts and informational concepts.
Proficient students perform routine procedures such as computing a sum, difference or product, and can use a specified procedure with accuracy. These students are able to demonstrate number sense by using place value concepts and fractions. Proficient students determine the appropriate operation for a given situation and can use estimation appropriately.
Proficient students understand and apply concepts of geometry and measurement. These students can demonstrate a working knowledge of spatial sense, geometric properties and geometric relationships. Proficient students can use appropriate measurement tools accurately.
Proficient students demonstrate an understanding of how quantities are related to one another and how algebra can be used to concisely represent and analyze those relationships. These students can recognize, describe, extend, and create patterns as well as solve problems involving functions.
Proficient students understand and apply the concepts and methods of data analysis, probability, and discrete mathematics. These students are able to read, interpret, and represent information in a graph, table, or chart.
Proficient students use various forms of representation to illustrate steps to a solution and effectively communicate a variety of reasoning methods to solve multi-step problems. Proficient students can explain steps and procedures for finding solutions, as well as check the reasonableness of their results.
Advanced Proficient
Students performing at the Advanced Proficient level demonstrate the qualities outlined for Proficient performance. In addition, these students determine strategies and procedures to solve routine and non-routine problems. An Advanced Proficient student draws appropriate inferences and provides explanations that are consistently clear and thorough. These students consistently demonstrate the ability to abstract relevant information, use multiple strategies and/or reasoning methods, and use various forms of representations to solve challenging problems. These students demonstrate an understanding of the reasonableness of their answers.
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CityU allows you to earn your math endorsement online, on your own schedule. This means you can plan your schoolwork around your life and complete the program at your own pace. Our faculty of active secondary math teachers will give you the real-world knowledge and skills you need to teach effectively in today's diverse classrooms. Learn more from an Albright School of Education advisor.
Mathematics has been identified as a high-need area because of teacher shortages, so you may find more opportunity to expand your teaching career when you add a math endorsement. Once you complete the program, you can take the Washington Educator Skills Test (WEST-E ®) to meet your math teacher requirements and earn your endorsement.
Math endorsement candidates develop a conceptual understanding of and procedural facility with operations, number systems, ratios, and proportional relationships. Topics include the structure, properties, characteristics of and relationships between number systems including whole numbers, integers, rational, real, and complex numbers; operations of different number systems and their properties; representation, modeling, properties, and operations of vectors and matrices; the progression of learning that begins with the base-ten number system and operations thereof, builds into understanding of and operations with fractions and rational numbers, and extends to understandings of and operations with real numbers; ratios and proportional relationships, including additive and multiplicative perspectives; ratios, rates, and proportions; representation and analysis of proportional relationships using tables, graphs, equations, diagrams, concrete and mathematical models; and verbal description.
EML 445
-
Mathematics: Geometry and Measurement (3)
Math endorsement candidates develop conceptual understanding of geometric properties and relationships as they apply to congruence, similarity, geometric figures, and the Cartesian Coordinate System. Topics include modeling and solving real life and mathematical problems involving proof of theorems; congruence, similarity, and transformations; physical and technological constructions; lines, angle measure, area, surface area, and volume; classification, visualization, and description of two-dimensional figures and three-dimensional objects and the relationships among them; rigid motion; Pythagorean Theorem; angles, radii, arcs, chords, sectors of circles, and conic sections. Upon successful completion of this course, candidates have content knowledge to help K-12 students become college and career ready in geometry and measurement.
EML 465
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Mathematics: Calculus (3)
Math endorsement candidates develop conceptual understanding and procedural facility with calculus concepts. Topics include functions and absolute value, open and closed intervals, solutions of inequalities; limits, continuity, differentiation; derivatives, definite integrals, techniques of integration and differential equations; apply concepts of function, geometry, and trigonometry in solving problems involving calculus; use concepts of calculus and modeling to represent and solve problems taken from real world contexts. Upon successful completion of this course, candidates have content knowledge to help secondary students become college and career ready in calculus.
EML 475
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Mathematics: Discrete Mathematics (3)
Math endorsement candidates develop conceptual understanding of a procedural facility with fundamental ideas of discrete mathematics in the formulation and solution of problems. Topics include mathematical proofs (direct, contradiction, contrapositive, induction); graph theory, recurrence relations, finite difference approaches, combinatronics); and application of discrete mathematics to formulate and solve real world problems. Upon successful completion of this course, candidates have content knowledge to help secondary students become college and career ready in discrete mathematics.
EML 481
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Standards of Mathematics Practice (3)
Math endorsement students acquire functional understandings of the Common Core State Standards in Mathematics for content and pedagogy. Students focus on standards of mathematics practice, key shifts in mathematics, how students learn and do not learn math, collaborative teams, culturally responsive teaching, and Smarter Balance assessment. Students apply these learnings to specific math topics in the following content and pedagogy courses for the ultimate purpose of helping K-12 students become college and workplace ready in mathematics.
EML 482
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Algebra and Functions (3)
Math endorsement candidates develop conceptual understanding of and procedural facility with algebra concepts emphasizing functions. Topics include operations, solution, and graphical representation of real life and mathematical problems using numerical and algebraic expressions, equations, and inequalities; proportional relationships, lines, and linear equations; functional notation and their models (linear, quadratic, simple rational, and exponential); algebreic expressions and functions (polynomials, rationals, roots); arithmetic properties and their proofs, equivalent forms; analysis and modeling of functions (linear, quadratic, exponential, trigonometric); and relationships between various representations of a function (graphs, tables, algebraic expressions, concrete models, contexts). Upon successful completion of this course, candidates have content knowledge to help K-12 students become college and career ready in algebra and functions.
EML 485
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Mathematics: Probability and Statistics (3)
Math endorsements candidates develop conceptual understanding of an procedural facility with statistics and probability. Topics include summarizing, representing, and interpreting categorical and quantitative data; measures of central tendency, distributions, evaluation of random processes, populations and random sampling, randomization; single variable, multivariate, categorical, and continuous data; binomial probability distributions; the principles of probability; probability of compound events using technology to collect, represent, and analyze data; and using rules of probability to model, make predictions, evaluate decisions, and solve real world problems. Upon successful completion of this course, math endorsement candidates have content knowledge to help K-12 students become college and career ready in probability and statistics.
EML 490
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Teaching Mathematics: Bringing It All Together (3)
Math endorsement candidates build skills in effective integration, instructional strategies, and assessments of mathematics in a secondary or middle school classroom. This course also provides candidates with a review of the content necessary to pass the WEST-E mathematics endorsement exam. Upon successful completion, candidates have improved skills needed to help make K-12 students college and career ready in mathematicsMy vice principal was impressed by the way I incorporated learning targets in my instruction – something I learned at CityU."
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MAT 104: Math for Liberal Arts
Discipline: Mathematics
Credit Hours: 3
Prerequisite: MAT 095 or a score of 2 on the placement exam. Specific topics will be selected, with a view toward answering the questions: What is mathematics? How have mathematical ideas developed through history? How might mathematics be relevant to everyday life? Topics will typically include items such as problem-solving, logic, numeration systems, number theory, mathematical finance, geometry, fractals, and probability. (Offered as needed.) (LA) (QM)(3)
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A video that focuses on the TI-Nspire graphing calculator in the context of teaching algebra. In this program the TI-Nspire is used to explore the nature of linear functions. Examples ranging from ... More: lessons, discussions, ratings, reviews,...
Students explore the relationship between equations and their graphs in this hands-on learning environment where they investigate, manipulate, and understand linear, quadratic and other graphs. They ... 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,...
An algebra practice program for anyone working on simplifying expressions and solving equations. Create your own sets of problems to work through in the equation editor, and have them appear on all of... More: lessons, discussions, ratings, reviews,...
A quick review of the Cartesian Coordinate system, including formulas for length and slope of a line segment. It also provides and introduction to the graphing applet used in this lab and others. More: lessons, discussions, ratings, reviews,...
This activity is perfect for grade 7 and 8 students who are just learning about slope. The tutorial applet allows students to drag collinear points on a plane. As they move the points, the students wiHow does changing the slope of a line affect the equation of that line? How might changing a part of an equation cause the related line to move? Explore these challenges using the Linear Transformer t... More: lessons, discussions, ratings, reviews,...
These activities use the Function Analyzer tool to reveal the connection between symbolic and graphic representations in equation solving. The document includes a series of exercises for single equatiCompare different representations of motion: a story, a position graph, and the motion itself. Create a graph that matches a story, or write a story to match a graph, and check either by watching Mell... More: lessons, discussions, ratings, reviews,...
This is a computer activity using Sketchpad and specially selected pictures located online (SlopePix web page) to help students understand the concept of slope. Following the instructions, students... More: lessons, discussions, ratings, reviews,...
Students use a two-player game to develop and refine their sense of the slopes of lines. The link to the activity itself is to a zip file that contains both the activity in pdf format and the corr... More: lessons, discussions, ratings, reviews,...
In this activity, students investigate the "negative reciprocal" relationship between the slopes of perpendicular lines. The final phase of the activity is appropriate for more advanced students as th... More: lessons, discussions, ratings, reviews,...
In this year-long project, students design, "build," and "sell" a house; after which they simulate investment of the profits in the stock market. Along the way, students make scale drawings, compute w... More: lessons, discussions, ratings, reviews,...
This lesson is designed to introduce students to the idea of functions composed of two operations, with specific attention to linear functions and their representations as rules and data tables, incluThis packet contains a copy of the original problem used to create the activity, rationale and explanation behind the "Change the Representation" focal activity, and some thoughts on why this activity... More: lessons, discussions, ratings, reviews,...
This packet contains a copy of the original problem used to create the activity, rationale and explanation behind the "I Notice, I Wonder" focal activity, and some thoughts on why this activity works
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More About
This Textbook
Overview
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Editorial Reviews
From the Publisher
From the reviews:
"This is a graduate textbook with the main purpose of introducing geometric measure theory through the notion of currents. … One of the most important features of this text is that it is self-contained … . The book also contains an Appendix … as well as extended list of references, making it a good text for a graduate course, as well as for an independent or self study." (Mihaela Poplicher, The Mathematical Association of America, March, 2009)
"The book under review succeeds in giving a complete and readable introduction to geometric measure theory. It can be used by students willing to learn this beautiful theory or by teachers as a basis for a one- or two-semester course." (Andreas Bernig, Mathematical Reviews, Issue 2009 m)
"The authors present main fields of applications, namely the isoperimetric problem and the regularity of minimal currents. The exposition is detailed and very well organized and therefore the book should be quite accessible for graduate students." (R. Steinbauer, Monatshefte für Mathematik, Vol. 162 (3), March, 2011)
Related Subjects
Table of Contents
Basics.- Carathéodory's Construction and Lower-Dimensional Measures.- Invariant Measures and the Construction of Haar Measure..- Covering Theorems and the Differentiation of Integrals.- Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities..- The Calculus of Differential Forms and Stokes's Theorem.- to Currents.- Currents and the Calculus of Variations.- Regularity of Mass-Minimizing Current
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books.google.com - For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated... Is Mathematics?: An Elementary Approach to Ideas and Methods
What Is Mathematics?: An Elementary Approach to Ideas and Methods Nick Black - Goodreads
Wow, that was absolutely beautiful! Thanks for the heads-up, Alex! I really, really wish I'd have had this book back as a senior or junior in high school; I'd have been able to plan out my math ...Read full review
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This single-volume compilation of three books centers on Hyperbolic Functions, an introduction to the relationship between the hyperbolic sine, cosine, and tangent, and the geometric properties of the hyperbola. The development of the hyperbolic functions, in addition to those of the trigonometric (circular) functions, appears in parallel columnsClassic graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition. more...
500 Ways to Achieve Your Best Grades
We want you to succeed on your college algebra and trigonometry midterm and final exams. That's why we've selected these 500 questions to help you study more effectively, use your preparation time wisely, and get your best grades. These questions and answers are similar to the ones you'll find on a typical college... more...,... more...
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About the book:
The word holor is a term coined by the authors to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors, quaternions, and other hypernumbers. Holors, thus defined, have been known for centuries but each has been developed more or less independently, accompanied by separate nomenclature and theory. This book demonstrates how these complicated subjects can be made simple by using a single notation that applies to all holors, both tensor and nontensor. The authors consider all possible types of holors and develop holor algebra and holor calculus in the most general sense. Thus the reader will learn to develop a new holor that fits the application, rather than forcing an application onto a holor representation that is known but that does not perfectly describe the application. The discussion includes nontensors having no transformation and holors that transform in more complicated ways than allowed with ordinary tensors. This opens up the possibility to devise a holor for a new physical application, without being limited to a few conventional types of holor. This book should establish a method by which students and teachers can learn vector and tensor analysis via a uniform treatment. Graduate students and professionals in engineering, physics. applied mathematics, chemistry, biology, psychology, and other analytical sciences should find this to be a useful and innovative work.
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press, 1986 International shipping, Usually dispatched within 1-2 business days, New and in perfect condition. All items sent by Royal Mail or DPD courier depending on weight and destination.
Hardcover, ISBN 0521245850 Publisher: CAMBRIDGE UNIV PR, 2002 Hardback. New . This item is printed on demand. The word holor is a term coined by the authors to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors, quaternions, and ot.
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press45850 Publisher: Cambridge University Press45850 Publisher: Cambridge University Press521245850 Publisher: Cambridge University Press, 1986 Used - Fine/Like New Fine . Hardcover. Almost new condition. SKU: 97805212458521245852.
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press, 1986 Used - Good, Usually ships in 1-2 business days, This Book is in Good Condition. Used Copy With Light Amount of Wear. 100% Guaranteed.
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press, 1986 Used - Good, Usually ships in 1-2 business days, Used book in good condition. Some cover wear, may contain marks such as highlighting or writing inside. 100% satisfaction guaranteed.
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press, 1986 Used - Very Good, Usually ships in 1-2 business days, Very Good condition! Huge seller with millions of transactions! Satisfaction Guaranteed!
Hardcover, ISBN 0521245850 Publisher: Cambridge University Press, 1986 Used - Very Good, Usually ships within 1 - 2 business days, Ships from the USA. Please allow 10-15 business days for delivery. Excellent customer service!
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Math modeling handbook now available
Apr 23, 2014
This is the cover of the free math modeling handbook published by the Society for Industrial and Applied Mathematics this month. Credit: SIAM
Math comes in handy for answering questions about a variety of topics, from calculating the cost-effectiveness of fuel sources and determining the best regions to build high-speed rail to predicting the spread of disease and assessing roller coasters on the basis of their "thrill" factor. How does math do all that?
That is the topic of a free handbook published by the Society for Industrial and Applied Mathematics (SIAM) this month: "Math Modeling: Getting Started and Getting Solutions."
Finding a solution to any of the aforementioned problems—or the multitude of other unanswered questions in the real world—will likely involve the creation, application, and refinement of a mathematical model. A math model is a mathematical representation of a real-world situation intended to gain a qualitative or quantitative understanding in order to predict future behavior. Such predictions allow us to come up with novel findings, enable scientific advances, and make informed decisions.
The handbook provides instructions and a process for building mathematical models using a variety of examples to answer wide-ranging questions.
The inspiration for the handbook came from Moody's Mega Math (M3) Challenge, a high school applied math contest organized by SIAM. Despite the tremendous success of the nine-year-old Challenge, which is currently available to 45 U.S. states and Washington, D.C., organizers found that many participating students—high school juniors and seniors—were having trouble coming up with approaches and solutions to the open-ended realistic problems posed by the contest. Participants expressed their frustration in post-contest surveys and emails.
"We have been enthusiastic about the high level of insight and analysis demonstrated by participants in the Challenge, especially the winning teams," says M3 Challenge Project Director Michelle Montgomery. "However, it became clear to us that, given the lack of modeling courses in most high school curricula, many of the participants did not have access to basic resources necessary to create a successful model. We came up with the handbook to give every participant these tools."
This type of thinking created an "aha" moment, so to speak, for handbook authors Karen Bliss, Katie Fowler, and Ben Galluzzo, long-time Challenge judges who have been part of the contest's problem development team for the past two years.
"All students, especially those interested in STEM disciplines, need as much practice in solving open-ended problems as possible, but they often do not get many chances to do that in school,"says Fowler, who is an associate professor of mathematics at Clarkson University. "Math modeling skills allow students to approach problems they initially may feel are outside of their comfort zone, and we want to give them the confidence to tackle them."
Further motivated by a series of SIAM-National Science Foundation (NSF) workshops on the topic of math modeling across the curriculum, the trio began work on a modeling guide. What started as a pamphlet with step-by-step guidance about the modeling process grew into a 70-page, full color handbook, with a companion document that makes connections to the Common Core State Standards as well as easy-to-use reference cards for those who want to get straight to the crux of modeling. The guide is suitable for teachers as well as high school and undergraduate students interested in learning how to model.
"Math modeling is challenging, but it's also surprisingly accessible. The guidebook is designed to remove perceived roadblocks by presenting modeling as a highly-creative iterative process in which multiple approaches—to the same problem—can lead to meaningful results," says Galluzzo, an assistant professor of mathematics at Shippensburg University.
The handbook, as well as the Challenge itself, has another, more pressing goal: motivating our younger generation to pursue higher education and careers in science and math. "SIAM does a big service to the math community at large by giving high school students the opportunity to see how math is more than just a series of formulas and rote memorization," says Bliss, an assistant professor of mathematics at Quinnipiac University. "Students at all levels have the means to produce highly creative solutions to interesting problems. Seeing that math can be a powerful tool for solving truly important problems through M3 Challenge participation might be just enough to encourage a student to study math or another STEM discipline in college."
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This book is concerned with the critical points of analytic and harmonic functions. A critical point of an analytic function means a zero of its derivative, and a critical point of a harmonic function means a point where both partial derivatives vanish. The analytic functions considered are largely polynomials, rational functions, and certain periodic, entire, and meromorphic functions. The harmonic functions considered are largely Green's functions, harmonic measures, and various linear combinations of them. The interest in these functions centers around the approximate location of their critical points. The approximation is in the sense of determining minimal regions in which all the critical points lie or maximal regions in which no critical point lies. Throughout the book the author uses the single method of regarding the critical points as equilibrium points in fields of force due to suitable distribution of matter.
The exposition is clear, complete, and well-illustrated with many examples.
Readership
Graduate students and research mathematicians interested in analyic and harmonic functions.
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iSCORE is a web-based practice and communication tool. It is designed to help motivate students to take responsibility for their practising and overall music learning and music creation. iSCORE makes it easier for students to set goals, create new work, edit and share their work and respond to feedback from teachers, peers and parents. It also makes it easier for teachers to communicate with their students and help their students become independent learners. It includes a text annotation tool and links to recording and notation software.
GeoGebra is dynamic mathematics software for all levels of education that joins arithmetic, geometry, algebra and calculus. On the one hand, GeoGebra is an interactive geometry system. You can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards. On view corresponds to an object in the graphics view and vice versa.
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Functions and Graphs
1572591579
9781572591578
Details about Precalculus:
This is a study of the mathematical prerequisites needed to study calculus. Topics include functions, trigonometry, systems of equations and matrices, and conics. The graphing calculator is integrated where appropriate, and problem sets are divided into categories - mastering the concept, applying the concept, and developing and extending the concept. There are two chapters of algebra review.
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Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
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I'm also interested in understanding and promoting the use of mathematical models related to environmental and sustainability concerns. I am interesting in working with students on projects related to these topics.
I have started to use some applications in courses like calculus and finite mathematics that are related to sustainability. I don't teach any whole courses related to sustainability, however. I am incorporating some of the basic mathematical modeling ideas into my low-level courses. For example, in my recent finite mathematics course, I did a unit on the mathematics related to the dynamics of renewable resources, using examples such as the fishing industry to discuss things like the equilibrium population size, and the maximum sustainable yield. We also looked at topics related to non-renewable resources, and looked at predictions related to how long certain resources would last under various assumptions
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Pre-Calculus, Gr. 9-12
Pre-calculus is the bridge between Algebra II and Calculus, and is a great way to get acquainted with ideas like function and rate of change. Analyze angles and geometric shapes to find absolute values. Discover new ways to record solutions with interval notation, and plug trig identities into your equations
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The Matrix Multiplication simulation aims to help students learn how to multiply two matrices and what conditions need to be...
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The Matrix Multiplication simulation aims to help students learn how to multiply two matrices and what conditions need to be fulfilled for the product of two matrices to exist. Students can choose different dimensions for matrices A and B, and the product C=AB is displayed if it exists. Student can select an element of the matrix C to see how it is calculated. An accompanying activity for this simulation is available at and Multiplication to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Matrix Multiplication
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Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press...
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Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press of a button compute a power of this matrix, determinant, inverse, characteristic polynomials and other useful matrix characteristics calculator to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Matrix calculator
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Select this link to open drop down to add material The Vector Cross Addition (Physics, Math) to your Bookmark Collection or Course ePortfolio
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The Graphical representation of complex eigenvectors simulation aims to help students make connections between graphical and...
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The Graphical representation of complex eigenvectors simulation aims to help students make connections between graphical and mathematical representations of complex eigenvectors and eigenvalues. The simulation depicts two components of a complex vector in the complex plane, and the same vector under several transformations that can be chosen by the user. A slider allows students to change the second component of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking the student to find the elements of one of the transformation matrices complex eigenvectors to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Graphical representation of complex eigenvectors
Select this link to open drop down to add material Graphical representation of complex eigenvectors to your Bookmark Collection or Course ePortfolio
The Graphical representation of eigenvectors simulation aims to help students make connections between graphical and...
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The Graphical representation of eigenvectors simulation aims to help students make connections between graphical and mathematical representations of eigenvectors and eigenvalues. The simulation depicts the two components of a unit vector in the xy-plane, and the same vector under several different transformations that can be chosen by the user. A slider allows students to change the orientation of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking students to find the elements of one of the transformation matrices 4 eigenvectors to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Graphical representation of eigenvectors
Select this link to open drop down to add material Graphical representation of eigenvectors Properties to your Bookmark Collection or Course ePortfolio
Select this link to close drop down of your Bookmark Collection or Course ePortfolio for material Matrix Properties
Select this link to open drop down to add material Matrix Properties
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More About
This Textbook
Overview
Math Wonderland is a museum of interactive mathematical models in Hokkaido, Japan, founded by one of the authors, Jin Akiyama, in 2003. The models in Wonderland, many of which have been exhibited all over Japan and in cities around the world, are meant to help children and young adults discover and experience the wonders of mathematics.
This book is centered around the experiences of three fictional middle-school students during a visit to Wonderland. They spend a day in Wonderland, handling the interactive models and participating in the activities offered there. At the end of the day, they leave with a genuine appreciation of mathematics gained from witnessing its beauty, applicability and inevitability.
The book is an important contribution to the genre because it presents mathematics and models that have never before appeared in books in the same category: reversible solids, plane tiling with developments of tetrahedrons, and double-packable solids, which are derived from the authors' own research papers published in mathematics journals. It is designed to entertain, inform and even teach some mathematics. Although it is targeted at young adults, parents and teachers may learn something from the book as well.
About the Author:
Jin Akiyama is Professor of Mathematics and Director of the Research Institute of Educational Development of Tokai University in Tokyo, Japan
About the Author:
Mari-Jo Ruiz is Professor of Mathematics and Trustee of Ateneo de Manila University in the Philippines
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Fine Enjoy this book. It could almost pass as new and is in gift giving condition. Big Hearted Books shares its profits with schools, churches and non-profit groups throughout ...New England. Thank you for your support!Read moreShow Less
Ships from: SharononRamp to Algebra is an intervention program designed exclusively to ensure that at-risk students are adequately prepared for Algebra 1. The program is ideally implemented the year prior, to build and solidify foundational skills and conceptual understanding necessary to be successful in Algebra 1. onRamp to Algebra is a complete instructional system that utilizes technology to deliver online homework support and in-class presentation screens for whole class participation. Although the program can be implemented solely with the printed Student and Teacher editions, it is optimized when coupled with in-class technology such as whiteboards/projectors; as well as when students access its online learning aids, which provide scaffolded, point-of-use homework support. As such, the program is designed to grow with your schools' Technology Plan.
onRamp to Algebra is designed to be delivered in a single block class period. Each of the 112 lessons utilizes a classroom Workshop Model, designed to ensure that your formerly struggling students are constantly active, and engaged, participants throughout the entire 45-minute class.
Built-in "Coach" supports (throughout the Teachers Edition), along with a Program Overview & Implementation Guide, and onsite and/or online Professional Development, ensure that all teachers are successful in the implementation of this
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Algebra 2 is a subject which is critical that a student do well in. The ability to master this subject will greatly affect the students perfromance in all subsequent math classes. The concepts in this course build upon one another
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Product Information
Release Date:
August 1, 2009
Date Published:
August 1, 2009
details
Calculus isn't just a required math class to weed out would-be science majors-it's a useful way to understand the patterns in physics, economics, and the natural world. With its distinctive mix of serious educational content and Japanese-style comics, The Manga Guide to Calculus will entertain you while it helps you understand the key concepts of calculus (and ace those exams).
Our story begins as Noriko, a recent liberal arts grad, arrives at a branch office of the Asagake Newspaper to start her career as a journalist. With the help of her overbearing and math-minded boss Kakeru, she's finally able to do some real reporting. But Noriko soon discovers the mathematical functions behind all the stories she struggles to cover.
How to integrate and differentiate trigonometric and other complicated functions
Multivariate calculus and partial differentiation
Taylor expansions
Reluctant calculus students of all abilities will enjoy following along with Noriko as she learns calculus from Kakeru's quirky stories and examples. This charming and easy-to-read guide also includes an appendix with answers to the book's many useful exercises.
This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan25
inches length
x
7.0
inches width
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0.75
inches height
Estimated Ship Weight:
1.1
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Calculators: Printing and Display, 5th Edition
Print and display on your calculator with ease with CALCULATORS: PRINTING AND DISPLAY! This text provides an easy-to-use approach to learning 10-key operation based on current business procedures. Learn the touch method and solve both business and personal math problems. Step-by-step instructions make learning easy; pictures and explanations for reaches provide good visual cues; and sufficient drills develop workplace skills48.95
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Peer Review
Ratings
Overall Rating:
This site provides over 3,000 mini-lessons and example videos hosted on YouTube. The videos and lessons are organized by course and topic.
Learning Goals:
To provide a better understanding for basic mathematical concepts.
Target Student Population:
Students studying mathematics.
Prerequisite Knowledge or Skills:
Depends on the course of choice.
Type of Material:
Tutorials
Recommended Uses:
This site can be used for self-guided student explorations, as a refresher, or to accompany one of a standard math course.
Technical Requirements:
Java-enabled browser and a YouTube player
Evaluation and Observation
Content Quality
Rating:
Strengths:
This site contains a collection of more than 3,000 videos on various mathematical courses from pre-algebra to basic mathematics. The videos are matched with topics of most common math textbooks. These videos are broken and organized by subjects and are searchable by topic. The author makes use of multiple colors, graphs, and annotations that help to provide clear expositions of the examples and concepts.
Concerns:
None
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This site is a good supplement to any math course and textbook. The length of each video is long enough to develop a topic fully but not too long to discourage the viewer. It could also be easily used as a part of self-guided study. The site should be really helpful to students who are visual learners.
Concerns:
The videos have closed captions, but they rely on computer generated captioning that often misinterprets the speaker. Without sound, the captioning is often incoherent.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
Provided that all the necessary plug-ins are installed, the site is intuitive and very easy to use. They can all be viewed on youTube. The navigation of the site is simple. The instructions are clearly presented with video and speech.
Concerns:
None
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Learn Street Math: Forward Math [NOOK Book] ...
More About
This Book logical that we should learn to solve mathematical operations forward. This is what LEARN STREET MATH: FORWARD MATH will attempt to teach us.
LEARN STREET MATH: FORWARD MATH is the first in a series of e-books that feature what the author calls "Street Math" tricks. Street Math tricks are easy, fast, and fun to learn techniques to solve most basic arithmetic problems.
With a conversational style and a generous sprinkling of wit and humor, the author attempts to make a usually boring subject matter like Mathematics a bit
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Find a Morningside, MD Statistics was an applied mathematics major through college. One class I took was based called "Discrete Mathematics with proofs." I have worked with discrete mathematics for multiple years while in college. I have given many presentations throughout high school and collegeMicrosoft Outlook is an extremely powerful program, but it seems that most people only use it for email and a calendar. There are so many powerful features in Outlook that go overlooked, such as setting Rules, Flagging items for Follow-up, the Automatic Replies feature, Automatic Archiving and c...
...However, at a more elementary level, I can explain how to solve second-order linear differential equations using exponentials or special functions such as Bessel and Airy functions. For example, if the equation is of the form a * d^2y / dx^2 + b * dy / dx + c y = 0 , you need to find both roots,...
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Khan Academy
- This is a great site for watching tutorial videos on various math (and
other subject area) topics. It also provides exercises for students to
practice many of the math concepts covered in the videos.
CLEP - The College-Level
Examination Program offers students the opportunity to receive college
credit for what they already know. There are 33 introductory-level college
subject examinations, and most colleges and universities will award
college credits in exchange for a passing grade.
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Center for Quantitative Education
At the Q-Center, we believe in teaching mathematics as a language. Students need to learn the grammar and vocabulary of mathematics, skills like the ability to solve particular equations. Beyond that, they need to learn to use this language to successfully interpret the world in their chosen profession. Finally, learning this language should provide an insight into new ways of thinking, and students should gain a cultural understanding of how mathematics fits into the world.
The Q-Center was formally established in January 2006 with the initial charge to:
make College Algebra a modern, technologically rich course where more students are successful and satisfied,
pursue extramural funding and continue a research program on undergraduate education in quantitative disciplines with an emphasis on the effective use of technology,
maintain an outreach program to share our work with K-12 schools to help them better prepare students.
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Browse related Subjects ...
Read More by developing computational skills and problem solving. Two-part coverage presents a library of elementary functions and calculus. For individuals looking for a view of mathematical ideas and processes, and an illustration of the relevance of mathematics to the real
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A practical introduction to Maths teaching designed specifically for beginning teachers in primary and secondary schools. It brings together the latest DfES and TTA guidelines and requirements with authoritative guidance, ensuring that readers feel confident about how to approach their role as a teacher. This book explores key issues in maths teaching... more...
Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at the... more...
If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies.
The book examines current initiatives that affect teaching mathematics and identifies pointers for action in... more...
Mathematics for Curriculum Leaders involves teachers in a deliberate enquiry into the nature of understanding in mathematics and the ideas underlying its teaching and learning. Helping children with the language of mathematics is shown to play an important part in mathematics teaching. The pack is divided into 7 units drawing upon the demands of the... more...
This volume provides information on theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, and branch and bound, and branch and cut algorithms. more...
This title consists of nine survey articles on various advances in algorithmic combinatorics. The articles cover both recent areas of application and exciting new theoretical developments. The book is accessible to Ph.D. students in discrete mathematics or theoretical computer science and is intended for researchers in the field of combinatorics. more...
The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed... more...
Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract... more...
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The website of the Department of Mathematical Sciences at The University of Texas at El Paso offers resources to help students do homework, prepare for a test, or get ready for class. Others might like to use its pages to practice their math skills.
The material presented reviews the most important results, techniques and formulas in college and pre-college mathematics. The learning units are presented in worksheet format and require students' active participation.
"Pattern and symmetry are as ancient as rhythm and language, and appear in virtually every human culture." This first group of Web pages presents symmetries called isometries, which preserve distances. The unit defines various transformations and isometries and offers exercises that make use of the Geometer's Sketchpad and KaleidoTile.
The wallpaper unit studies plane patterns whose symmetries are translations, glide reflections, and rotations. Students learn to use Kali, a computer program that generates plane patterns. Supplemental materials include "Names for features of symmetrical patterns" from GEOMETRY AND THE IMAGINATION, a two-week summer workshop led by John Conway, Peter Doyle, Jane Gilman, and Bill Thurston at the Geometry Center in Minneapolis, Minnesota in June 1991.
The 1997 theme of Math Awareness Week is MATHEMATICS AND THE INTERNET. Mathematics is the language of Internet operation, from the binary numbers that describe text and images to the complex data structures of search engines for the World Wide Web. Ideas from fields like number theory have led to such key Internet technologies as data encryption for secure financial transactions and data compression for audio and video. At the same time, the Internet has given birth to world-wide collaborations among mathematics teachers and researchers, collaborations that are advancing both kindergarten through undergraduate education and our understanding of some of the most difficult problems in pure and applied mathematics.
Institutions across America and beyond are celebrating Math Awareness Week (MAW) right now! All this week, invited lecturers will speak, posters will receive awards, math call-in radio shows will be on the air, and students everywhere will gain a better appreciation of math.
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More About
This Textbook
Overview
Essentials Of Discrete Mathematics, Second Edition Is The Ideal Text For A One-Term Discrete Mathematics Course To Serve Computer Science Majors As Well As Students From A Wide Range Of Other Disciplines. It Introduces Students To The Mathematical Way Of Thinking, And Also To Many Important Modern Applications. The Material Is Organized Around Five Types Of Thinking: Logical, Relational, Recursive, Quantitative, And Analytical. This Presentation Results In A Coherent Outline That Steadily Builds Upon Mathematical Sophistication. Graphs Are Introduced Early And Referred To Throughout The Text, Providing A Richer Context For Examples And Applications. Students Will Encounter Algorithms Near The End Of The Text, After They Have Acquired The Skills And Experience Needed To Analyze Them. The Final Chapter Contains In-Depth Case Studies From A Variety Of Fields, Including Biology, Sociology, Linguistics, Economics, And Music. Clear And Concise, Essentials Of Discrete Mathematics Presents A Unified And Complete Picture Of Discrete Mathematics That Instructors Can Cover In A Single Semester
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GRASSMANN'S SPACE ANALYSIS [NOOK Book]...
More About
This Book adaptability and effectiveness of the methods used as applied to the various problems and operations of geometry and mechanics.
The ideas of direction and position appear to the writer to be as simple and fundamental as that of magnitude, and an algebra which deals directly with all three of these ideas should not be greatly more difficult than the ordinary one, which deals with magnitude only. The result of using such an algebra is an extraordinary gain in the brevity of operations and the expressiveness of formulas and equations.
Some of the terms belonging to this general subject are frequently employed in modern text-books on mechanics and physics, even when no use is made of the algebraic systems from which they are derived.
It is hoped that this little book may do something to interest students, and to help toward bringing in the time when the methods as well as the ideas of this calculus shall come into general
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Gilbert Strang, of the Massachusetts Institute of Technology, highlights calculus in a series of short videos that introduces the basic ideas of calculus ? how it works and why it is important. The intended audience i...
This online exercise lets students practice vector addition. They choose the precision of the test by selecting a target size, then estimate the sum of the two vectors by dragging and dropping a third arrow. Points are...
The idea for the MIT Media Lab came out of work at the school's Architecture Machine group, and it formally opened the doors of its new building designed by I.M. Pei in 1985. In the Media Lab's first decade of operation...
This series of lectures, created by Gilbert Strang of the Massachusetts Institute of Technology, provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers....
This course, presented by MIT and taught by Daniel Kleitman, provides undergraduate level calculus instruction. The materials include a set of interactive Java applets, a glossary of calculus terminology and full...
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This ebook is available for the following devices:
iPad
Windows
Mac
Sony Reader
Cool-er Reader
Nook
Kobo Reader
iRiver Story
more
How many objects of a given shape and size can be packed into a large box of fixed volume? Can one plant n trees in an orchard, not all along the same line, so that every line determined by two trees will pass through a third? These questions, raised by Hilbert and Sylvester roughly one hundred years ago, have generated a lot of interest among professional and amateur mathematicians and scientists. They have led to the birth of a new mathematical discipline with close ties to classical geometry and number theory, and with many applications in coding theory, potential theory, computational geometry, computer graphics, robotics , etc. Combinatorial Geometry offers a self-contained introduction to this rapidly developing field, where combinatorial and probabilistic (counting) methods play a crucial role. This book has grown out of the material of both undergraduate and graduate courses in mathematics and computer science given by János Pach at the Courant Institute of Mathematical Sciences, New York University. Divided into two parts— Arrangements of Convex Sets and Arrangements of Points and Lines—it presents and explains some of the most important and ingenious results in combinatorial geometry, including:
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Miami PrecalculusI also strongly believe that learning Math and Sciences is of the upmost importance for developing an analytical mind and collectively for advancing a strong and prosper nation. Given the opportunity, I am sure that we, together, could break through your fears and liberate your natural curiosity...
...Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing object...
| 677.169 | 1 |
Maths Challenge is a fun activity to build mathematical and reasoning skills. Each month during the school year, a new set of math problems are posted online. There are miscellaneous problems at junior and senior levels...
This site is the online material for Colorado University-Denver's course Math 6406, Combinatorial Structures. The information found here should be helpful to both students and professors of combinatorics. Thorough...
Calculus may seem to be quite dismal to some, but it comes alive through the fine work of Gabriela R. Sanchis. Sanchis wrote this excellent piece on teaching calculus by drawing on the historical evolution of some of...
Problems With a Point is a site developed for mathematics students and teachers in grades 6-12. The site contains practice problems on various topics that designed to help students understand mathematical concepts and...
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Just the critical concepts you need to score high in Algebra II
Al
Play by the rules — get the lowdown on algebraic properties, exponential rules, and factoring techniques
Be rational — follow easy-to-grasp instructions for working with rational and radical equations, from dealing with negative exponents to fiddling with fractional exponents
Know your functions — discover how to use exponential and logarithmic functions to solve algebraic problems
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