**AMS/MAA Textbooks**

Volume: 18;
2010;
492 pp;
Hardcover

Print ISBN: 978-0-88385-767-0

Product Code: TEXT/18

List Price: $72.00

AMS Member Price: $54.00

MAA Member Price: $54.00

**Electronic ISBN: 978-1-61444-609-5
Product Code: TEXT/18.E**

List Price: $72.00

AMS Member Price: $54.00

MAA Member Price: $54.00

# Functions, Data, and Models: An Applied Approach to College Algebra

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*Sheldon P. Gordon; Florence S. Gordon*

MAA Press: An Imprint of the American Mathematical Society

This is a college algebra-level textbook
written to provide the kind of mathematical knowledge and experiences
that students will need for courses in other fields, such as biology,
chemistry, business, finance, economics, and other areas that are
heavily dependent on data either from laboratory experiments or from
other studies. The focus is on the fundamental mathematical concepts
and the realistic problem-solving via mathematical modeling rather
than the development of algebraic skills that might be needed in
calculus.

Functions, Data, and Models presents college
algebra in a way that differs from almost all college algebra books
available today. Rather than going over material covered in high
school courses the Gordons teach something new. Students are given an
introduction to data analysis and mathematical modeling presented at a
level that students with limited algebraic skills can understand. The
book contains a rich set of exercises, many of which use real
data. Also included are thought experiments or what if questions that
are meant to stretch the student's mathematical thinking.

#### Reviews & Endorsements

… On initial viewing, “Functions, Data and Models” may seem like a typical textbook, with all the usual key parts, including appendixes and answers to selected problems in the back of the book. However, on closer examination, readers will see and understand how the eight-chapter work differs from classic algebra books. The detailed preface includes messages for the student, messages for the instructor, and information on the book's philosophy. … The book would be a great resource for any algebra course. Highly recommended.

-- K.D. Holton, CHOICE Magazine

This textbook certainly sets the hook early when authors explain in the preface that the book's philosophy is to allow students to focus on mathematical ideas, not mathematical calculations. … As the authors point out in the introduction to this text, it contains enough material (in both depth and variety) to cover two semesters' worth of study. On the other hand, the interested instructor could easily design a syllabus covering a limited number of topics from the book to address the needs of a semester-long course. I highly recommend this text to instructors who seek to cultivate creativity and critical thinking in their college-algebra-level students

-- Hilary Fletcher, Mathematics and Computer Education

# Table of Contents

## Functions, Data, and Models: An Applied Approach to College Algebra

Table of Contents pages: 1 2

- cover cover11
- copyright page ii3
- title page iii4
- Contents vii8
- Preface ix10
- 1 Data Everywhere 118
- 2 Functions Everywhere 2239
- 3 Linear Functions 5370
- 4 More about Linear Functions 114131
- 5 Families of Nonlinear Functions 166183
- 5.1 Exponential Growth Functions 166183
- Comparing Linear and Exponential Growth 170187
- Applications of Exponential Growth 170187
- Doubling Time 172189
- Predicting with Exponential Growth Functions 173190
- Finding an Exponential Function Through Two Points 176193
- Rules for Exponents 180197
- Problems 180197
- Exercising Your Algebra Skills 182199

- 5.2 Exponential Decay Functions 183200
- 5.3 Fitting Exponential Functions to Data 195212
- 5.4 Logarithmic Functions 207224
- 5.5 Modeling with Logarithmic Functions 223240
- 5.6 Power Functions 232249
- 5.7 Fitting Power Functions to Data 247264
- 5.8 How Good Is the Fit? 266283
- Interpreting the Graphs 266283
- Interpreting the Correlation Coefficient 267284
- Interpreting the Sum of the Squares 269286
- may have measurements on the growth of bacteria in a test tube that might suggest exponential growth,but you know that such growth cannot continue indefinitely, so an exponential function will model thepopulation only for a short while.Other Measures 271288
- Problems 272289

- Virtual Laboratory 5.1: Kepler’s Third Law of Planetary Motion 274291
- Virtual Laboratory 5.2: Running Speed and Length of the Body 275292

- 6 Polynomial Functions 277294
- 6.1 Introduction to Polynomial Functions 277294
- Polynomials of Degree 1: Linear Functions 278295
- Polynomials of Degree 2: Quadratic Functions 278295
- Polynomials of Degree 3: Cubic Functions 279296
- Polynomials of Degree 4: Quartic Functions 279296
- The Zeros of a Polynomial and the Roots of An Equation 280297
- Problems 282299
- Exercising Your Algebra Skills 284301

- 6.2 The Behavior of Polynomial Functions 285302
- 6.3 Modeling with Polynomial Functions 303320
- Virtual Laboratory 6.1: Biosciences and Social Sciences 320337
- Virtual Laboratory 6.2: Physics 320337

- 7 Extended Families of Functions 322339
- 7.1 Building New Functions from Old: Shifting, Stretching, and Shrinking 322339
- 7.2 Using Shifting and Stretching With Data 335352
- 7.3 The Central Limit Theorem and Confidence Intervals 354371
- 7.4 Functions of Several Variables: Tables, Contours, Formulas 366383
- Virtual Laboratory 7: Chemistry 381398

Table of Contents pages: 1 2