College Algebra

<ol> <li><strong>Review</strong> <ul> <li>R.1 Real Numbers</li> <li>R.2 Algebra Essentials</li> <li>R.3 Geometry Essentials</li> <li>R.4 Polynomials</li> <li>R.5 Factoring Polynomials</li> <li>R.6 Synthetic Division</li> <li>R.7 Rational Expressions</li> <li>R.8 nth Roots; Rational Exponents</li> </ul></li> <li><strong>Equations and Inequalities</strong> <ul> <li>1.1 Linear Equations</li> <li>1.2 Quadratic Equations</li> <li>1.3 Complex Numbers; Quadratic Equations in the Complex Number System</li> <li>1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations</li> <li>1.5 Solving Inequalities</li> <li>1.6 Equations and Inequalities Involving Absolute Value</li> <li>1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications</li> <li>Chapter 1 Review, Test, and Projects</li> </ul></li> <li><strong>Graphs</strong> <ul> <li>2.1 The Distance and Midpoint Formulas</li> <li>2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry</li> <li>2.3 Lines</li> <li>2.4 Circles</li> <li>2.5 Variation</li> <li>Chapter 2 Review, Test, and Projects</li> </ul></li> <li><strong>Functions and Their Graphs</strong> <ul> <li>3.1 Functions</li> <li>3.2 The Graph of a Function</li> <li>3.3 Properties of Functions</li> <li>3.4 Library of Functions; Piecewise-defined Functions</li> <li>3.5 Graphing Techniques: Transformations</li> <li>3.6 Mathematical Models: Building Functions</li> <li>Chapter 3 Review, Test, and Projects</li> </ul></li> <li>Linear and Quadratic Functions <ul> <li>4.1 Properties of Linear Functions and Linear Models</li> <li>4.2 Building Linear Models from Data</li> <li>4.3 Quadratic Functions and Their Properties</li> <li>4.4 Build Quadratic Models from Verbal Descriptions and from Data</li> <li>4.5 Inequalities Involving Quadratic Functions</li> <li>Chapter 4 Review, Test, and Projects</li> </ul></li> <li><strong>Polynomial and Rational Functions</strong> <ul> <li>5.1 Polynomial Functions</li> <li>5.2 Graphing Polynomials Functions; Models</li> <li>5.3 Properties of Rational Functions</li> <li>5.4 The Graph of a Rational Function</li> <li>5.5 Polynomial and Rational Inequalities</li> <li>5.6 The Real Zeros of a Polynomial Function</li> <li>Chapter 5 Review, Test, and Projects</li> </ul></li> <li><strong>Exponential and Logarithmic Functions</strong> <ul> <li>6.1 Composite Functions</li> <li>6.2 One-to-One Functions; Inverse Functions</li> <li>6.3 Exponential Functions</li> <li>6.4 Logarithmic Functions</li> <li>6.5 Properties of Logarithms</li> <li>6.6 Logarithmic and Exponential Equations</li> <li>6.7 Financial Models</li> <li>6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models</li> <li>6.9 Building Exponential, Logarithmic, and Logistic Models from Data</li> <li>Chapter 6 Review, Test, and Projects</li> </ul></li> <li><strong>Analytic Geometry</strong> <ul> <li>7.1 Conics</li> <li>7.2 The Parabola</li> <li>7.3 The Ellipse</li> <li>7.4 The Hyperbola</li> <li>Chapter 7 Review, Test, and Projects</li> </ul></li> <li><strong>Systems of Equations and Inequalities</strong> <ul> <li>8.1 Systems of Linear Equations: Substitution and Elimination</li> <li>8.2 Systems of Linear Equations: Matrices</li> <li>8.3 Systems of Linear Equations: Determinants</li> <li>8.4 Matrix Algebra</li> <li>8.5 Partial Fraction Decomposition</li> <li>8.6 Systems of Nonlinear Equations</li> <li>8.7 Systems of Inequalities</li> <li>8.8 Linear Programming</li> <li>Chapter 8 Review, Test, and Projects</li> </ul></li> <li><strong>Sequences; Induction; the Binomial Theorem</strong> <ul> <li>9.1 Sequences</li> <li>9.2 Arithmetic Sequences</li> <li>9.3 Geometric Sequences; Geometric Series</li> <li>9.4 Mathematical Induction</li> <li>9.5 The Binomial Theorem</li> <li>Chapter 9 Review, Test, and Projects</li> </ul></li> <li><strong>Counting and Probability</strong> <ul> <li>10.1 Counting</li> <li>10.2 Permutations and Combinations</li> <li>10.3 Probability</li> <li>Chapter 10 Review, Test, and Projects</li> </ul></li> </ol> <h3>Appendix: Graphing Utilities</h3> <ul> <li>A.1 The Viewing Rectangle</li> <li>A.2 Using a Graphing Utility to Graph Equations</li> <li>A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry</li> <li>A.4 Using a Graphing Utility to Solve Equations</li> <li>A.5 Square Screens</li> <li>A.6 Using a Graphing Utility to Graph Inequalities</li> <li>A.7 Using a Graphing Utility to Solve Systems of Linear Equations</li> </ul> <p>Answers</p> <p>Credits</p> <p>Index</p>