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Functions and Change: A Modeling Approach to College Algebra 5th Edition

Bruce Crauder, Benny Evans, Alan Noell

  • Published
  • Previous Editions 2010, 2007, 2003
  • 560 Pages
Starting At 100.00 See pricing and ISBN options

Overview

FUNCTIONS AND CHANGE: A MODELING APPROACH TO COLLEGE ALGEBRA, Fifth Edition is optimal for both non-traditional and terminal students taking college algebra and those who may continue onto calculus. The authors' incorporate graphing utilities, functions, modeling, real data, applications and projects to develop skills, giving students the practice they need to not only master basic mathematics but apply it in future courses and careers. With a streamlined presentation, fresh design and added features such as "Test Your Understanding", the fifth edition reinforces the authors' focus on connecting math in the real world with added applications in business and social sciences, promotes mastery of the material and fosters critical thinking. Enhanced WebAssign now features increased exercise coverage, personalized study plans, lecture videos and more that make it easier to get started with online homework. Available with InfoTrac® Student Collections http://gocengage.com/infotrac.

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.
  • Fresh design with additional color and photographs enhances the clarity and appeal of the exposition.
  • Revised treatment of topics eliminates the use of the logarithm in exponential regression and power regression; and quadratics, higher-degree polynomials, and rational functions is now in one section.
  • Streamlined and updated layout allows for a greater focus on the topics and presentations that work so well in the classroom.
  • Up-to-the-minute real-data invigorates the exercise sets and connects to the real-world.
  • InfoTrac® Student Collections are specialized databases expertly drawn from the Gale Academic One library. Each InfoTrac® Student Collection enhances the student learning experience in the specific course area related to the product. These specialized databases allow access to hundreds of scholarly and popular publications - all reliable sources - including journals, encyclopedias, and academic reports. Learn more and access at: http://gocengage.com/infotrac.
  • New! Test Your Understanding feature follows examples in the text and challenges students to solve similar problems. Answers are provided to reinforce correct work.
  • New! Solving Inequalities section in Chapter 2 expands upon the fundamental ideas of solving equations by the method of crossing graphs.
  • New! Constant Percentage Change section in Chapter 4 allows for additional discussion and for students to master its importance in applications of exponential functions.
  • Additional business and social sciences applications strengthen the authors' commitment to showing students the importance of mathematics in the world around them.
  • Trimmed Algebraic Look sections are either grouped together at the end of chapters or placed in the appendix. Teachers may decide which of these materials they wish to use.
  • Reorganized Skill exercises are now located at the end of the major exercises to emphasis the importance of the major exercises and the many applications they contain.
  • Informal approach offers clear explanations that leave out unnecessary technicalities so that students who are not comfortable with algebra will easily understand the concepts.
  • Integrated graphing calculator technology helps students understand abstract concepts as a descriptive and problem-solving tool.
  • "Rule of Four"—graphically, numerically, symbolically, and verbally introduces functions.
  • 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.
Prologue: Calculator Arithmetic.
Summary.
Chapter Review Exercises.
1. FUNCTIONS.
Functions Given by Formulas. Functions Given by Tables. Functions Given by Graphs. Functions Given by Words. Summary. Chapter Review Exercises. A Further Look: Average Rates of Change with Formulas. A Further Look: Areas Associated with Graphs.
2. GRAPHICAL AND TABULAR ANALYSIS.
Table and Trends. Graphs. Solving Linear Equations. Solving Nonlinear Equations. Inequalities. Optimization. Summary. Chapter Review Exercises. A Further Look: Limits. A Further Look: Shifting and Stretching. A Further Look: Optimizing with Parabolas.
3. STRAIGHT LINES AND LINEAR FUNCTIONS.
The Geometry of Lines. Linear Functions. Modeling Data with Linear Functions. Linear Regression. Systems of Equations. Summary. Chapter Review Exercises. A Further Look: Parallel and Perpendicular Lines. A Further Look: Secant Lines.
4. EXPONENTIAL FUNCTIONS.
Exponential Growth and Decay. Constant Percentage Change. Modeling Exponential Data. Modeling Nearly Exponential Data. Logarithmic Functions. Summary. Chapter Review Exercises. A Further Look: Solving Exponential Equations.
5. A SURVEY OF OTHER COMMON FUNCTIONS.
Logistic Functions. Power Functions. Modeling Data with Power Functions. Combining and Decomposing Functions. Polynomials and Rational Functions. Summary. Chapter Review Exercises. A Further Look: Fitting Logistic Data using Rates of Change. A Further Look: Factoring Polynomials, Behavior at Infinity.
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. Summary. Chapter Review Exercises.
APPENDIX.
A.1 Order of Operations.
A.2 Definition of a Function.
A.3 Geometric Constructions.
A.4 Inverse Function.
A.5: Solving Equations by Factoring.
A.6 Equations of Lines.
A.7 Elementary Properties of Exponents.
A.8 Quadratic Functions and Complex Numbers.
BRIEF ANSWERS TO SELECTED EXERCISES.
WebAssign
Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

Standalone Digital Access — Ultimate Value

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  • ISBN-10: 1337775541
  • ISBN-13: 9781337775540
  • Bookstore Wholesale Price $100.00
  • RETAIL $100.00

  • ISBN-10: 128585831X
  • ISBN-13: 9781285858319
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  • RETAIL $100.00

Digital Access + Print — Flexible Value

Recommended and most popular

  • ISBN-10: 1285715799
  • ISBN-13: 9781285715797
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Textbook Only Options

Traditional eBook and Print Options

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  • ISBN-10: 1285521323
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  • ISBN-10: 1133365558
  • ISBN-13: 9781133365556
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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.