Contents Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test. P. Preliminary Concepts P.1 The Real Number System P.2 Intervals, Absolute Value, and Distance P.3 Integer and Rational Number Exponents P.4 Polynomials P.5 Factoring P.6 Rational Expressions Exploring Concepts with Technology: Can You Trust Your Calculator? 1. Equations and Inequalities 1.1 Linear Equations 1.2 Formulas and Applications 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Inequalities 1.6 Variation and Applications Exploring Concepts with Technology: The Mandelbrot Replacement Procedure 2. Functions and Graphs 2.1 A Two-Dimensional Coordinate System and Graphs 2.2 Introduction to Functions 2.3 Linear Functions 2.4 Quadratic Functions 2.5 Properties of Graphs 2.6 The Algebra of Functions 2.7 Modeling Data Using Regression Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 3. Polynomial and Rational Functions 3.1 Polynomial Division and Synthetic Division 3.2 Polynomial Functions 3.3 Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Rational Functions and Their Graphs Exploring Concepts with Technology: Finding Zeros of a Polynomial Using Mathematica 4. Exponential and Logarithmic Functions 4.1 Inverse Functions 4.2 Exponential Functions and Their Graphs 4.3 Logarithms Functions and Their Graphs 4.4 Properties of Logarithms 4.5 Exponential and Logarithmic Equations 4.6 Applications of Exponential and Logarithmic Functions 4.7 Modeling Data with Exponential and Logarithmic Functions Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay 5. Topics in Analytic Geometry 5.1 Parabolas 5.2 Ellipses 5.3 Hyperbolas Exploring Concepts with Technology: Using a Graphing Calculator to Illustrate a Property of Parabolas 6. Systems of Equations 6.1 Systems of Linear Equations in Two Variables 6.2 Systems of Linear Equations in More Than Two Variables 6.3 Nonlinear Systems of Equations 6.4 Partial Fractions 6.5 Inequalities in Two Variables and Systems of Inequalities 6.6 Linear Programming Exploring Concepts with Technology: Ill-Conditioned Systems of Equations 7. Matrices 7.1 Gaussian Elimination Method 7.2 The Algebra of Matrices 7.3 The Inverse of a Matrix 7.4 Determinants 7.5 Cramer's Rule Exploring Concepts with Technology: Stochastic Matrices 8. Sequences, Series, and Probability 8.1 Infinite Sequences and Summation Notation 8.2 Arithmetic Sequences and Series 8.3 Geometric Sequences and Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Permutations and Combinations 8.7 Introduction to Probability Exploring Concepts with Technology: Mathematical Expectation Solutions to Selected Exercises Answers to Odd-Numbered Exercises Glossary IndexAufmann, Richard N. is the author of 'College Algebra' with ISBN 9780618130740 and ISBN 0618130748.