| |
| |
| Basic Concepts | |
| |
| |
| Linear Equations and Applications | |
| |
| |
| Complex Numbers | |
| |
| |
| Quadratic Equations and Applications | |
| |
| |
| Other Types of Equations | |
| |
| |
| Inequalities | |
| |
| |
| The Rectangular Coordinate System | |
| |
| |
| Equations of Lines | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Graphs and Functions | |
| |
| |
| Graphs of Equations | |
| |
| |
| Functions and Function Notation | |
| |
| |
| Graphs of Functions | |
| |
| |
| Basic Graphs | |
| |
| |
| Transformations of Graphs | |
| |
| |
| Operations on Functions | |
| |
| |
| Inverse Functions | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Polynomial And Rational Functions | |
| |
| |
| Quadratic Functions | |
| |
| |
| Polynomial Functions | |
| |
| |
| Rational Zeros of Polynomial Functions | |
| |
| |
| Roots of Polynomial Equations | |
| |
| |
| Rational Functions | |
| |
| |
| Polynomial and Rational Inequalities | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Exponential And Logarithmic Functions | |
| |
| |
| Exponential Functions, Graphs, and Applications | |
| |
| |
| Applications of Exponential Functions | |
| |
| |
| Logarithmic Functions and Their Graphs | |
| |
| |
| Applications of Logarithmic Functions | |
| |
| |
| Properties of Logarithms | |
| |
| |
| Exponential and Logarithmic Equations | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Trigonometric Functions | |
| |
| |
| Angles and Their Measurement | |
| |
| |
| The Unit Circle and Trigonometric Functions | |
| |
| |
| Trigonometric Functions of Any Angle; Fundamental Identities | |
| |
| |
| Graphs of the Sine and Cosine Functions | |
| |
| |
| Graphs of the Tangent, Cotangent, Secant and Cosecant Functions | |
| |
| |
| Regression and Other Graphs Involving Trigonometric Functions | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Analytic Trigonometry | |
| |
| |
| Inverse Trigonometric Functions | |
| |
| |
| Inverse Cotangent, Secant, and Cosecant Functions (Optional) | |
| |
| |
| Verifying Trigonometric Identities | |
| |
| |
| Sum and Difference Formulas | |
| |
| |
| Double-Angle, Power-Reduction, Half-Angle Formulas | |
| |
| |
| Product-to-Sum and Sum-to-Product Formulas | |
| |
| |
| Trigonometric Equations I | |
| |
| |
| Trigonometric Equations II | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Applications; Oblique Triangles | |
| |
| |
| Solving Right Triangles | |
| |
| |
| More Right Triangle Applications | |
| |
| |
| Law of Sines | |
| |
| |
| Law of Cosines | |
| |
| |
| Area of Triangles | |
| |
| |
| Angular and Linear Velocity--Circular Motion | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Polar Coordinates; Vectors | |
| |
| |
| Polar Coordinates | |
| |
| |
| Polar Equations and Graphs | |
| |
| |
| Complex Plane; Polar Form of Complex Numbers; DeMoivre's Theorem | |
| |
| |
| Vectors | |
| |
| |
| Dot Product | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Linear Systems And Matrices | |
| |
| |
| Systems of Linear Equations | |
| |
| |
| Gaussian Elimination and Matrix Methods | |
| |
| |
| Matrix Algebra | |
| |
| |
| Matrix Inversion | |
| |
| |
| Determinants | |
| |
| |
| Partial Fractions | |
| |
| |
| Graphs of Linear Inequalities | |
| |
| |
| Linear Programming (available on website) | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Conic Sections And Quadratic Systems | |
| |
| |
| The Circle and the Parabola | |
| |
| |
| The Ellipse | |
| |
| |
| The Hyperbola | |
| |
| |
| Solving Non-linear Systems of Equations | |
| |
| |
| Plane Curves and Parametric Equations | |
| |
| |
| Conic Sections in Polar Coordinates | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Natural Number Functions And Probability | |
| |
| |
| The Binomial Theorem | |
| |
| |
| Sequences, Series, and Summation Notation | |
| |
| |
| Arithmetic Sequences | |
| |
| |
| Geometric Sequences | |
| |
| |
| Mathematical Induction | |
| |
| |
| Permutations and Combinations (available on website) | |
| |
| |
| Probability (available on website) | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Looking Ahead to Calculus | |
| |
| |
| |
| Introduction To Calculus (available on website) | |
| |
| |
| Limits | |
| |
| |
| Properties of Limits | |
| |
| |
| Limits and Continuity | |
| |
| |
| Average Rate of Change | |
| |
| |
| Tangents and Derivatives | |
| |
| |
| Area and Integrals | |
| |
| |
| Chapter Summary | |
| |
| |
| Chapter Test | |
| |
| |
| Appendix | |
| |
| |
| Sets of Real Numbers | |
| |
| |
| Integer Exponents and Scientific Notation | |
| |
| |
| Radicals and Rational Exponents | |
| |
| |
| Polynomials | |
| |
| |
| Factoring Polynomials | |
| |
| |
| Rational Expressions | |