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| Functions, Graphs, and Models | |
| Using Graphing Utilities | |
| Functions | |
| Functions: Graphs and Properties | |
| Functions: Graphs and Transformations | |
| Operations on Functions; Composition | |
| Inverse Functions | |
| Modeling with Linear and Quadratic Functions | |
| Linear Functions | |
| Linear Equations and Models | |
| Quadratic Functions | |
| Complex Numbers | |
| Quadratic Equations and Models | |
| Additional Equation-Solving Techniques | |
| Solving Inequalities | |
| Polynomial and Rational Functions | |
| Polynomial Functions and Models | |
| Real Zeros and Polynomial Inequalities | |
| Complex Zeros and Rational Zeros of Polynomials | |
| Rational Functions and Inequalities | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Exponential Models | |
| Logarithmic Functions | |
| Logarithmic Models | |
| Exponential and Logarithmic Equations | |
| Trigonometric Functions | |
| Angles and Their Measure | |
| Trigonometric Functions: A Unit Circle Approach | |
| Solving Right Triangles | |
| Properties of Trigonometric Functions | |
| More General Trigonometric Functions and Models | |
| Inverse Trigonometric Functions | |
| Trigonometric Identities and Conditional Equations | |
| Basic Identities and Their Use | |
| Sum, Difference, and Cofunction Identities | |
| Double-Angle and Half-Angle Identities | |
| Product-Sum and Sum-Product Identities | |
| Trigonometric Equations | |
| Additional Topics in Trigonometry | |
| Law of Sines | |
| Law of Cosines | |
| Geometric Vectors | |
| Algebraic Vectors | |
| Polar Coordinates and Graphs | |
| Complex Numbers in Rectangular and Polar Forms | |
| De Moivre's Theorem | |
| Modeling with Linear Systems | |
| Systems of Linear Equations in Two Variables | |
| Systems of Linear Equations and Augmented Matrices | |
| Gauss-Jordan Elimination | |
| Systems of Linear Inequalities | |
| Linear Programming | |
| Matrices and Determinants | |
| Matrix Operations | |
| Inverse of a Square Matrix | |
| Matrix Equations and Systems of Linear Equations | |
| Determinants | |
| Properties of Determinants | |
| Determinants and Cramer's Rule | |
| Sequences, Induction, and Probability | |
| Sequences and Series | |
| Mathematical Induction | |
| Arithmetic and Geometric Sequences | |
| Multiplication Principle, Permutations, and Combinations | |
| Sample Spaces and Probability | |
| Binomial Formula | |
| Additional Topics in Analytic Geometry | |
| Conic Sections; Parabola | |
| Ellipse | |
| Hyperbola | |
| Translation of Axes | |
| Rotation of Axes | |
| Nonlinear Systems | |
| Review of Equations and Graphing | |
| Linear Equations and Inequalities | |
| Cartesian Coordinate System | |
| Basic Formulas in Analytic Geometry | |
| Special Topics | |
| Significant Digits | |
| Partial Fractions | |
| Descartes' Rule of Signs | |
| Parametric Equations | |
| Geometric Formulas | |
| Table of Contents provided by Publisher. All Rights Reserved. |
