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1 Technical Mathematics- Basics

More copies of this ISBN:

Functions Modeling Change 2ND Edition Text Only

by Eric Connally

Functions Modeling Change 2ND Edition Text Only Cover

ISBN13: 9780471456537
ISBN10: 0471456535
Condition: Standard
All Product Details

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Synopses & Reviews

Publisher Comments:

This is a new edition of the precalculus text developed by the Consortium based at Harvard University and funded by a National Science Foundation Grant. The text is thought-provoking for well-prepared students while still accessible to students with weaker backgrounds. It provides numerical and graphical approaches as well as algebraic approaches to give students another way of mastering the material. This approach encourages students to persist, thereby lowering failure rates. A large number of real-world examples and problems enable students to create mathematical models that will help them understand the world in which they live.

The focus is on those topics that are essential to the study of calculus and these topics are treated in depth.

  • Linear, exponential, power, and periodic functions are introduced before polynomial and rational functions to take advantage of their use to model physical phenomena.
  • Building on the Consortium's Rule of Four: Each function is represented symbolically, numerically, graphically, and verbally where appropriate.

Synopsis:

The third edition of this ground-breaking text continues the authors' goal - a targeted introduction to precalculus that carefully balances concepts with procedures. Overall, this text is designed to provide a solid foundation to precalculus that focuses on a small number of key topics thereby emphasizing depth of understanding rather than breath of coverage. Developed by the Calculus Consortium, FMC 3e is flexible enough to be thought-provoking for well-prepared students while still remaining accessible to students with weaker backgrounds. As multiple representations encourage students to reflect on the material, each function is presented symbolically, numerically, graphically and verbally (the Rule of Four). Additionally, a large number of real-world applications, examples and problems enable students to create mathematical models that will help them understand and interpret the world in which they live.

About the Author

Eric Connallyis a Professor of Mathematics at Harvard University Extension in Cambridge, Massachusetts.

Table of Contents

1. Linear Functions and Change.

2. Functions.

3. Exponential Functions.

4. Logarithmic Functions.

5. Transformations of Functions and Their Graphs.

6. Trigonometric Functions.

7. Trigonometry.

8. Compositions, Inverses, and Combinations of Functions.

9. Polynomial and Rational Functions.

10. Vectors and Matrices.

11. Sequences and Series.

12. Parametric Equations and Conic Sections.

Answers to Odd-Numbered Problems.

What Our Readers Are Saying

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Average customer rating based on 1 comment:
foabbot, February 28, 2007 (view all comments by foabbot)
We used this text in a precalculus class that I recently finished. This book covers a lot of material so success using this book will depend on the teacher. There were some people who thought it was an unwieldy text; there are plenty of review exercises that would be worth spending the time but you would benefit most if you could see how they were done to arrive at the correct answers. In the introduction, the authors say that: 1)many problems are open-ended, meaning there is more than one correct approach to solving them 2)there are few examples in the text that are exactly like the homework problems 3) they recommend group work and discussions.
I can tell you there are not enough hours in the classroom to make group discussions and team efforts at problem-solving work. I am taking a class now that uses team efforts to solve problems and it works (sort of, and success is uneven) because most of the problem-solving is done, graded and recorded by a computer program.
We did try to work in groups using this precalculus text. However, as I said, speeding along to try to cover the necessary material (in order to take calculus), there just isn't enough time.
What the authors did say was true: if you put in a solid effort, you will get a real understanding of functions. I used several other texts to supplement this text (I found trigonometry to be especially difficult but that is just me) and studied my a** off. I did well in the course and will probably refer to this book in the future.
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Product Details

ISBN:
9780471456537
Subtitle:
A Preparation for Calculus
Author:
Connally, Eric
Author:
Marks, Elliot J.
Author:
Shure, Pat
Author:
Swenson, Carl
Author:
Rhea, Karen
Author:
Lock, Patti Frazer
Author:
Yoshiwara, Katherine
Author:
Morris, Jerry
Author:
Cheifetz, Philip
Author:
Hallett, Deborah Hughes
Author:
Davidian, Ann
Author:
Hughes-Hallett, Deborah
Author:
Avenoso, Frank
Author:
Lahme, Brigitte
Author:
Flath, Daniel E.
Author:
Gleason, Andrew M.
Publisher:
John Wiley & Sons
Subject:
Calculus
Copyright:
Edition Number:
2
Publication Date:
April 2003
Binding:
Paperback
Grade Level:
General/trade
Language:
English
Pages:
592
Dimensions:
10.48x8.54x.81 in. 2.56 lbs.

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