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Functions and Change: A Modeling Approach to College Algebra 4th Edition

Bruce Crauder, Benny Evans, Alan Noell

  • Published
  • Previous Editions 2007, 2003
  • 648 Pages
Starting At 47.00 See pricing and ISBN options

Overview

FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, 4E provides an alternative to a traditional college algebra course for students who either will not take another math course or may go on to a business calculus course. The authors wrote this text for the many college algebra students who are poorly served by books that focus on preparing them for a course they will never take, traditional calculus.

Bruce Crauder, Oklahoma State University

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, Oklahoma State University

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, Oklahoma State University

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.
  • An informal approach offers clear explanations that leave out unnecessary technicalities so that students who are not comfortable with algebra will easily understand the concepts.
  • Graphing calculator technology is integrated throughout the text as a descriptive and problem-solving tool, and to help students understand abstract concepts.
  • Functions are introduced by the "Rule of Four"—graphically, numerically, symbolically, and verbally.
  • Diverse Modeling/Real-Life Applications and Data reveal mathematics as an integral part of nature, science, and society. This real-world context allows students to check their answers against their own intuition and common sense while also making the topic more relevant and interesting to students.
  • Chapter Review Exercises help students build their skills to remember key concepts from the chapter.
Note: Each chapter concludes with a Summary and Review Exercises.
P. Prologue: Calculator Arithmetic.
1. FUNCTIONS.
Functions Given by Formulas. Functions Given by Tables. Functions Given by Graphs. Functions Given by Words.
2. GRAPHICAL AND TABULAR ANALYSIS.
Tables and Trends. Graphs. Solving Linear Equations. Solving Nonlinear Equations. Optimization.
3. STRAIGHT LINES AND LINEAR FUNCTIONS.
The Geometry of Lines. Linear Functions. Modeling Data with Linear Functions. Linear Regression. Systems of Equations.
4. EXPONENTIAL FUNCTIONS.
Exponential Growth and Decay. Modeling Exponential Data. Modeling Nearly Exponential Data. Logarithmic Functions. Connecting Exponential and Linear Data.
5. A SURVEY OF OTHER COMMON FUNCTIONS.
Power Functions. Modeling Data with Power Functions. Combining and Decomposing Functions. Quadratic Functions and Parabolas. Higher-Degree Polynomials and Rational Functions.
6. RATES OF CHANGE.
Velocity. Rates of Change for Other Functions. Estimating Rates of Change. Equations of Change: Linear and Exponential Functions. Equations of Change: Graphical Solutions.
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Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

FOR INSTRUCTORS

Excel® Projects

ISBN: 9781337111485
These conceptual projects are provided on Excel spreadsheets with built-in formulas that provide understanding of real-life, applied problems. Almost every section in the book has a corresponding project, and they are great for in-class use. These are accessible via the instructor companion site.

Complete Solutions Manual

ISBN: 9781337111461
Contains all worked-out solutions to the exercises and chapter tests. This is accessible via the instructor companion site.

Online Instructor's Manual

ISBN: 9781337111454
The Online Instructor's Manual contains valuable teaching tools for both new and experienced instructors. Written by the authors, the Instructor’s Guide includes teaching tips for each section of the text as well as sample syllabi that reflect the authors’ experience using the text. The guide is accessible via the instructor companion site.

Online Test Bank

ISBN: 9781337111478
Provides multiple test forms per chapter as well as final exams. The tests combine multiple-choice, free-response, and fill-in-the-blank questions for your convenience. The Test Bank is accessible via the instructor companion site.

Cengage Learning Testing, powered by Cognero Instant Access

ISBN: 9781337111799
This instant access code provides you with access to Cengage Learning Testing (CLT). CLT is a flexible online system that allows you to author, edit, and manage test bank content; create multiple test versions in an instant; and deliver tests from your LMS, your classroom, or wherever you want. This is available online via www.cengage.com/login.

Student Solutions Manual

ISBN: 9781337111409
Written by the authors, the Student Solutions Manual contains complete and carefully written solutions to every odd-numbered exercise in the text, in the same style and format as the worked examples of the text. In particular, the solutions give additional instruction to allow students to find success doing similar even-numbered exercises.

FOR STUDENTS

Student Solutions Manual

ISBN: 9781337111409
The Student Solutions Manual contains complete and carefully written solutions to every odd-numbered exercise in the text, in the same style and format as the worked examples of the text. In particular, the solutions give additional instruction to help ensure your success when doing similar even-numbered exercises.