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Intended for a first-year-level developmental mathematics course in intermediate algebra, Exploring 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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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.
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. 1. Fundamental Concepts Section 1.1 Problem Solving Section 1.2 Sets Section 1.3 Evaluating Variable Expressions Using Integers Section 1.4 Evaluating Variable Expressions Using Rational Numbers Section 1.5 Simplifying Variable Expressions 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 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 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 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 and Linear Programming 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 Section 6.4 Factoring Polynomials Section 6.5 Special Factoring Section 6.6 Solving Equations by Factoring 7. Rational Expressions and Equations Section 7.1 Introduction to Rational Expressions Section 7.2 Operations on Rational Expressions Section 7.3 Rational Equations Section 7.4 Proportions and Similar Triangles Section 7.5 Variation 8. Radical Expressions and Rational Exponents Section 8.1 Rational Exponents and Radical Expressions Section 8.2 Simplifying Radical Expressions Section 8.3 The Pythagorean Theorem Section 8.4 Operations on Radical Expressions Section 8.5 Radical Functions Section 8.6 Solving Radical Equations Section 8.7 Complex Numbers 9. Quadratic Functions and Quadratic Inequalities Section 9.1 Introduction to Quadratic Equations Section 9.2 Solving Quadratic Equations by Taking Square Roots and by Completing the Square Section 9.3 Solving Quadratic Equations by Using the Quadratic Formula and by Graphing Section 9.4 Equations That Are Quadratic in Form Section 9.5 Quadratic Functions Section 9.6 Quadratic Inequalities 10. Exponential and Logarithmic Functions Section 10.1 Algebra of Functions Section 10.2 Inverse Functions Section 10.3 Exponential Functions Section 10.4 Exponential Models and Exponential Regression Section 10.5 Logarithmic Functions Section 10.6 Properties of Logarithms Section 10.7 Exponential and Logarithmic Equations Additional Topics in Algebra Section 1 Introduction to Sequences and Series Section 2 Binomial Expansions Section 3 Conic Sections Appendix A. Keystroke Guide for the TI-83 and TI-83 Plus
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