| Prerequisites and Review | |
| Real Numbers | |
| Integer Exponents and Scientific Notation | |
| Polynomials: Basic Operations | |
| Factoring Polynomials | |
| Rational Expressions | |
| Rational Exponents and Radicals | |
| Complex Numbers | |
| Equations and Inequalities | |
| Linear Equations | |
| Applications Involving Linear Equations | |
| Quadratic Equations | |
| Other Types of Equations | |
| Linear Inequalities | |
| Polynomial and Rational Inequalities | |
| Absolute Value Equations and Inequalities | |
| Graphs | |
| Basic Tools: Cartesian Plane, Distance, and Midpoint | |
| Graphing Equations: Point-Plotting, Intercepts, and Symmetry | |
| Lines | |
| Circles | |
| Functions and Their Graphs | |
| Functions | |
| Graphs of Functions | |
| Piecewise-Defined Functions | |
| Increasing and Decreasing Functions | |
| Average Rate of Change | |
| Graphing Techniques: Transformations | |
| Operations on Functions and Composition of Functions | |
| One-to-One Functions and Inverse Functions | |
| Modeling Functions Using Variation | |
| Polynomial and Rational Functions | |
| Quadratic Functions | |
| Polynomial Functions of Higher Degree | |
| Dividing Polynomials: Long Division and Synthetic Division | |
| The Real Zeros of a Polynomial Function | |
| Complex Zeros: The Fundamental Theorem of Algebra | |
| Rational Functions | |
| Exponential and Logarithmic Functions | |
| Exponential Functions and Their Graphs | |
| Logarithmic Functions and Their Graphs | |
| Properties of Logarithms | |
| Exponential and Logarithmic Equations | |
| Exponential and Logarithmic Models | |
| Systems of Linear Equations and Inequalities | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations in Three Variables | |
| Partial Fractions | |
| Systems of Linear Inequalities in Two Variables | |
| The Linear Programming Model | |
| Matrices | |
| Matrices and Systems of Linear Equations | |
| Matrix Algebra | |
| Matrix Equations the Inverse of a Square Matrix | |
| The Determinant of a Square Matrix and CramerâÇÖs Rule | |
| Conics and Systems of Nonlinear Equations and Inequalities | |
| Conic Basics | |
| The Parabola | |
| The Ellipse | |
| The Hyperbola | |
| Systems of Nonlinear Equations | |
| Systems of Nonlinear Inequalities | |
| Sequences, Series, and Probability | |
| Sequences and Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| Mathematical Induction | |
| The Binomial Theorem | |
| Counting, Permutations, and Combinations | |
| Probability | |
| Trigonometric Functions | |
| Radian Measure and Applications | |
| Trigonometric Functions: The Unit Circle Approach | |
| Graphs of Sine and Cosine Functions | |
| Answers to Odd Numbered Exercises | |
| Applications Index | |
| Subject Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |