Higher Education

Functions and Change: A Modeling Approach to College Algebra and Trigonometry, 1st Edition

  • Bruce Crauder Oklahoma State University
  • Benny Evans Oklahoma State University
  • Alan Noell Oklahoma State University
  • ISBN-10: 0618858040  |  ISBN-13: 9780618858040
  • 736 Pages
  • © 2008 | Published
  • College Bookstore Wholesale Price = $248.50
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About

Overview

Intended for precalculus courses requiring a graphing calculator, Functions and Change emphasizes the application of mathematics to real problems students encounter each day. Applications from a variety of disciplines, including Astronomy, Biology, and the Social Sciences, make concepts interesting for students who have difficulty with more theoretical coverage of mathematics. In addition to these meaningful applications, the authors' easy-to-read writing style allows students to see mathematics as a descriptive problem-solving tool. An extended version of the successful Functions and Change: A Modeling Approach to College Algebra, this text includes three chapters of trigonometry.

Features and Benefits

  • The author team's approach appeals to a variety of learning styles: exploring functions graphically, numerically, symbolically, and verbally--to assist students who struggle with mathematics in general, or those who are more receptive to alternative modes of learning.
  • Diverse real-world applications and data reveal mathematics as an integral part of nature, science, and society, allowing students to check their answers against their own intuition and common sense while also making the topic more relevant and interesting.
  • Meeting AMATYCs 2006 Beyond Crossroads guidelines, this text and supplements give students plenty of opportunities to use Excel spreadsheets and improve their life and workplace skills.
  • The graphing calculator is integrated and emphasized throughout the text as a problem-solving tool to help students understand abstract concepts.
  • Frequent references to the Technology Field Guide walks students through keystrokes needed to view in-text tables.
  • Key Idea boxes highlight fundamental ideas in every section. At least one example accompanies each of these boxes.
  • Another Look presents a more traditional treatment of the concepts being covered and contains enrichment exercises with a slight increase in difficulty--both in their algebraic presentation and their symbol manipulation--in comparison to other problems in the text.
  • Review Exercises help students reinforce and apply the skills they learned throughout the chapter.
  • Skill Building Exercises precede each exercise set in the text and prepare students for the problems they will encounter.
  • Continuation Exercises reinforce concepts already studied.
  • An index of applications, located on the front and back inside covers, lists all of the applications in the text and organizes them by discipline.
  • The Online Study Center that accompanies the text contains lab exercises that correspond to specific sections in the book.

Table of Contents

Note: Each chapter concludes with a Summary and Review Exercises.
P. Prologue: Calculator Arithmetic
Typing Mathematical Expressions
Rounding
Parentheses and Grouping
Minus Signs
Special Numbers pi and e
Chain Calculations
Scientific Notation
1. Functions
1.1 Functions Given by Formulas
1.2 Functions Given by Tables
1.3 Functions Given by Graphs
1.4 Functions Given by Words
2. Graphical and Tabular Analysis
2.1 Tables and Trends
2.2 Graphs
2.3 Solving Linear Equations
2.4 Solving Nonlinear Equations
2.5 Optimization
3. Straight Lines and Linear Functions
3.1 The Geometry of Lines
3.2 Linear Functions
3.3 Modeling Data with Linear Functions
3.4 Linear Regression
3.5 Systems of Equations
4. Exponential Functions
4.1 Exponential Growth and Decay
4.2 Modeling Exponential Data
4.3 Modeling Nearly Exponential Data
4.4 Logarithmic Functions
4.5 Connecting Exponential and Linear Data
5. A Survey of Other Common Functions
5.1 Power Functions
5.2 Modeling Data with Power Functions
5.3 Combining and Decomposing Functions
5.4 Quadratic Functions and Parabolas
5.5 Higher-degree Polynomials and Rational Functions
6. The Geometry of Right Triangles
6.1 Sides of Right Triangles
6.2 Angles
6.3 Right Triangle Trigonometry
7. Periodic Functions
7.1 Trigonometric Functions as Periodic Functions
7.2 Modeling with Periodic Functions
7.3 Modeling Periodic Data
8. Relationships Among Trigonometric Functions
8.1 Trigonometric Identities
8.2 Laws of Sines and Cosines
8.3 Inverse Trigonometric Functions
8.4 Complex Numbers and De Moivre's Theorem
9. Rates of Change
9.1 Velocity
9.2 Rates of Change for Other Functions
9.3 Estimating Rates of Change
9.4 Equations of Change: Linear and Exponential Functions
9.5 Equations of Change: Graphical Solutions
10. Mathematics of Population Ecology
10.1 Population dynamics: Exponential Growth
10.2 Population dynamics: Logistic Growth
10.3 Population structure: Survivorship Curves

Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Eduspace Plus  (ISBN-10: 0618925899 | ISBN-13: 9780618925896)

Your Eduspace Plus Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Plus course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Plus courses contain:

List Price = $113.00  | College Bookstore Wholesale Price = $113.00

Online Complete Solutions Manual  (ISBN-10: 0618858075 | ISBN-13: 9780618858071)

Eduspace Plus (Kennesaw)  (ISBN-10: 0618986545 | ISBN-13: 9780618986545)

List Price = $71.95  | College Bookstore Wholesale Price = $53.75

Cartridge - Functions and Change: A Modeling Approach to College Algebra and Trigonometry  (ISBN-10: 0618858105 | ISBN-13: 9780618858101)

List Price = $52.00  | College Bookstore Wholesale Price = $52.00

Online Instructor's Resource Manual  (ISBN-10: 0618858067 | ISBN-13: 9780618858064)

List Price = $.00  | College Bookstore Wholesale Price = $.00

Student Solutions Manual  (ISBN-10: 0618858059 | ISBN-13: 9780618858057)

List Price = $89.95  | College Bookstore Wholesale Price = $67.50

Student Supplements

Eduspace Plus  (ISBN-10: 0618925899 | ISBN-13: 9780618925896)

Your Eduspace Plus Student Passkey will be sent to you digitally via your online purchase receipt and also sent via email.Your passkey is needed in order to access an Eduspace Plus course. Individual passkeys must be purchased for each course enrollment.Eduspace is Houghton Mifflin's online learning tool. It may be required by your instructor to complete online homework and assignments. Eduspace also offers powerful tools and text-specific content that will help you get a better grade.Eduspace Plus courses contain:

List Price = $113.00  | College Bookstore Wholesale Price = $113.00

Eduspace Plus (Kennesaw)  (ISBN-10: 0618986545 | ISBN-13: 9780618986545)

List Price = $71.95  | College Bookstore Wholesale Price = $53.75

Cartridge - Functions and Change: A Modeling Approach to College Algebra and Trigonometry  (ISBN-10: 0618858105 | ISBN-13: 9780618858101)

List Price = $52.00  | College Bookstore Wholesale Price = $52.00

Student Solutions Manual  (ISBN-10: 0618858059 | ISBN-13: 9780618858057)

List Price = $89.95  | College Bookstore Wholesale Price = $67.50

Meet the Author

Author Bio

Bruce Crauder

Bruce Crauder received his Ph.D. from Columbia University in 1981, after which he spent a post-doctoral year at the Institute for Advanced Studies. Since then, he has held positions at the University of Utah, University of Pennsylvania, University of North Carolina, Colorado State University, and is now at Oklahoma State University as a Professor of Mathematics. Crauder has held NSF research grants in algebraic geometry and has worked with several NSF grants for mathematics curricular reform and development with Benny Evans and Alan Noell. He is currently the Associate Dean for Instruction of the College of Arts & Sciences at Oklahoma State.

Benny Evans

Benny Evans received his Ph.D. in Mathematics from the University of Michigan in 1971. After a year at the Institute for Advanced Study he came to Oklahoma State University where he has served as Undergraduate Director, Associate Head, and Head. He has been the recipient of both public and private grants in the areas of topology and mathematics education. He has held visiting appointments at Rice University, Texas A&M University, and University of Nevada, Reno, and is currently Professor Emeritus at Oklahoma State University.

Alan Noell

Alan Noell received his Ph.D. in Mathematics from Princeton University in 1983 and had a two-year postdoctoral position at Caltech. His scholarly activities include complex analysis and curriculum development. He has been a Co-Principal Investigator on grants funded by the National Science Foundation. He has served as Undergraduate Director and Graduate Director in the Department of Mathematics at Oklahoma State University, where he is currently an Associate Head and Professor of Mathematics.