College algebra /
Michael Sullivan
- 8th ed.
- Upper Saddle River, N.J. : Pearson Prentice Hall, 2008.
- xxv, 708, [101] pages : color illustrations ; 29 cm
TABLE OF CONTENTS Chapter R Review R.1 Real NumbersR.2 Algebra EssentialsR.3 Geometry EssentialsR.4 PolynomialsR.5 Factoring PolynomialsR.6 Synthetic DivisionR.7 Rational ExpressionsR.8 nth Roots; Rational Exponents Chapter 1 Equations and Inequalities 1.1 Linear Equations1.2 Quadratic Equations1.3 Complex Numbers; Quadratic Equations in the Complex Number System1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations1.5 Solving Inequalities1.6 Equations and Inequalities Involving Absolute Value1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications Chapter 2 Graphs 2.1 The Distance and Midpoint Formulas2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry2.3 Lines2.4 Circles2.5 Variation Chapter 3 Functions and Their Graphs3.1 Functions3.2 The Graph of a Function3.3 Properties of Functions3.4 Library of Functions; Piecewise-defined Functions3.5 Graphing Techniques: Transformations 3.6 Mathematical Models: Building Functions Chapter 4 Linear and Quadratic Functions4.1 Linear Functions and Their Properties4.2 Building Linear Functions from Data4.3 Quadratic Functions and Their Properties4.4 Quadratic Models; Building Quadratic Functions from Data4.5 Inequalities Involving QuadraticFunctions Chapter 5 Polynomial and Rational Functions5.1 Polynomial Functions and Models5.2 Properties of Rational Functions5.3 The Graph of a Rational Function5.4 Polynomial and Rational Inequalities5.5 The Real Zeros of a Polynomial Function5.6 Complex Zeros: Fundamental Theorem of Algebra Chapter 6 Exponential and Logarithmic Functions6.1 Composite Functions6.2 One-to-One Functions; Inverse Functions6.3 Exponential Functions6.4 Logarithmic Functions6.5 Properties of Logarithms6.6 Logarithmic and Exponential Equations6.7 Compound Interest6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models6.9 Building Exponential, Logarithmic, and Logistic Functions from Data Chapter 7 Analytic Geometry7.1 Conics7.2 The Parabola7.3 The Ellipse7.4 The Hyperbola Chapter 8 Systems of Equations and Inequalities8.1 Systems of Linear Equations: Substitution and Elimination8.2 Systems of Linear Equations: Matrices8.3 Systems of Linear Equations: Determinants8.4 Matrix Algebra8.5 Partial Fraction Decomposition8.6 Systems of Nonlinear Equations8.7 Systems of Inequalities8.8 Linear Programming Chapter 9 Sequences; Induction; the Binomial Theorem9.1 Sequences9.2 Arithmetic Sequences9.3 Geometric Sequences; Geometric Series9.4 Mathematical Induction9.5 The Binomial Theorem Chapter 10 Counting and Probability10.1 Sets and Counting10.2 Permutations and Combinations10.3 Probability Appendix Graphing Utilities1 The Viewing Rectangle2 Graphing Equations in Two Variables3 Locating Intercepts and Checking for Symmetry4 Solving Equations Using a Graphing Utility5 Square Screens6 Graphing Inequalities in Two Variables7 Solving Systems of Linear Equations8 Graphing a Polar Equation9 Graphing Parametric Equations.