Exploring Introductory and Intermediate Algebra: A Graphing Approach - Hardcover

Aufmann, Richard N.; Lockwood, Joanne; Boswell, Laurie

9780618156863: Exploring Introductory and Intermediate Algebra: A Graphing Approach

Hardcover

ISBN 10: 0618156860 ISBN 13: 9780618156863

Publisher: Cengage Learning, 2003

Intended for a one- or two-semester combined elementary and intermediate algebra course, Exploring Introductory and Intermediate Algebra: A Graphing Approach is designed to assist students in making connections between mathematics and its applications. Its goal is to develop a student's mathematical skills through appropriate use of applications and to use technology to establish links between abstract mathematical concepts and visual or concrete representations.

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About the Author:

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

Review:

Note: Each chapter begins with a Prep Test and includes a Chapter Summary, Chapter Review Exercises, and a Chapter Test. Chapters 2-10 conclude with Cumulative Review Exercises. Chapter 1. Fundamental Concepts Section 1.1 Problem Solving Section 1.2 Sets Section 1.3 Operations on Integers Section 1.4 Operations on Rational Numbers Section 1.5 Evaluating Variable Expressions Section 1.6 Simplifying Variable Expressions Chapter 2. Introduction to Functions and Relations Section 2.1 Rectangular Coordinates and Graphs Section 2.2 Relations and Functions Section 2.3 Properties of Functions Chapter 3. First-Degree Equations and Inequalities Section 3.1 Solving First-Degree Equations Section 3.2 Applications of First-Degree Equations Section 3.3 Applications to Geometry Section 3.4 Inequalities in One Variable Section 3.5 Absolute Value Equations and Inequalities Chapter 4. Linear Functions Section 4.1 Slopes and Graphs of Linear Functions Section 4.2 Finding Equations of Straight Lines Section 4.3 Linear Regression Section 4.4 Linear Inequalities in Two Variables Chapter 5. Systems of Linear Equations and Inequalities Section 5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method Section 5.2 Solving Systems of Linear Equations by the Addition Method Section 5.3 Solving Systems of Linear Equations Using Matrices Section 5.4 Systems of Linear Inequalities Chapter 6. Polynomials Section 6.1 Operations on Monomials and Scientific Notation Section 6.2 Addition and Subtraction of Polynomials Section 6.3 Multiplication and Division of Polynomials Chapter 7. Factoring Section 7.1 Common Factors of a Polynomial Section 7.2 Factoring Trinomials of the Form ax2 + bx + c Section 7.3 Special Factoring Section 7.4 Solving Equations by factoring Chapter 8. Rational Expressions and Equations Section 8.1 Introduction to Rational Expressions Section 8.2 Operations on Rational Expressions Section 8.3 Rational Equations Section 8.4 Proportions and Similar Triangles Chapter 9. Radical Expressions and Rational Exponents Section 9.1 Rational Exponents and Radical Expressions Section 9.2 Simplifying Radical Expressions Section 9.3 The Pythagorean Theorem Section 9.4 Operations on Radical Expressions Section 9.5 Radical Functions Section 9.6 Solving Radical Equations Section 9.7 Complex Numbers Chapter 10. Quadratic Functions and Quadratic Inequalities Section 10.1 Introduction to Quadratic Equations Section 10.2 Solving Quadratic Equations by Taking Square Roots and by Completing the Square Section 10.3 Solving Quadratic Equations by Using the Quadratic Formula and by Graphing Section 10.4 Equations That Are Quadratic in Form Section 10.5 Quadratic Functions Section 10.6 Quadratic Inequalities Chapter 11. Exponential and Logarithmic Functions Section 11.1 Algebra of Functions Section 11.2 Inverse Functions Section 11.3 Exponential Functions Section 11.4 Exponential Models and Exponential Regression Section 11.5 Logarithmic Functions Section 11.6 Properties of Logarithms Section 11.7 Exponential and Logarithmic Equations Chapter R. Review of Introductory Algebra Topics Section R.1 Variable Expressions Section R.2 Equations and Inequalities Section R.3 Linear Equatinos in Two Variables Section R.4 Polynomials Appendix A. Keystroke Guide for the TI-83 and TI-83 Plus

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