Essentials of College Algebra
Note: Each chapter includes a Summary, True/False Exercises, Review Exercises, and a Test. Chapters 1-6 include Cumulative Review Exercises. Preliminary Concepts P.1 The Real Number System P.2 Integer and Rational Number Exponents P.3 Polynomials P.4 Rational Expressions P.5 Complex Numbers Exploring Concepts with Technology: Can You Trust Your Calculator? 1. Equations and Inequalities 1.1 Linear and Absolute Value Equations 1.2 Formulas and Applications 1.3 Quadratic Equations 1.4 Other Types of Equations 1.5 Inequalities Exploring Concepts with Technology: Use a Graphing Calculator to Solve Equations 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 Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator 3. Polynomial and Rational Functions 3.1 The Remainder Theorem and the Factor Theorem 3.2 Polynomial Functions of Higher Degree 3.3 Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Graphs of Rational Functions and Their Applications 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 Applications 4.3 Logarithmic Functions and Their Applications 4.4 Logarithms and Logarithmic Scales 4.5 Exponential and Logarithmic Equations 4.6 Exponential Growth and Decay Exploring Concepts with Technology: Using a Semilog Graph to Model Exponential Decay 5. Systems Of Equations 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations in More Than Two Variables 5.3 Inequalities in Two Variables and Systems of Inequalities Exploring Concepts with Technology: Ill-Conditioned Systems of Equations