| |
| |
| Note: Each chaper concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |
| |
| |
| |
| Functions and Their Graphs Introduction to Library of Functions | |
| |
| |
| |
| Lines in the Plane | |
| |
| |
| |
| Functions | |
| |
| |
| |
| Graphs of Functions | |
| |
| |
| |
| Shifting, Reflecting, and Stretching Graphs | |
| |
| |
| |
| Combinations of Functions | |
| |
| |
| |
| Inverse Functions | |
| |
| |
| |
| Exploring Data: Linear Models and Scatter Plots | |
| |
| |
| |
| Polynomial and Rational Functions | |
| |
| |
| |
| Quadratic Functions | |
| |
| |
| |
| Polynomial Functions of Higher Degree | |
| |
| |
| |
| Real Zeros of Polynomial Functions | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| |
| The Fundamental Theorem of Algebra | |
| |
| |
| |
| Rational Functions and Asymptotes | |
| |
| |
| |
| Graphs of Rational Functions | |
| |
| |
| |
| Exploring Data: Quadratic Models | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Exponential Functions and Their Graphs | |
| |
| |
| |
| Logarithmic Functions and Their Graphs | |
| |
| |
| |
| Properties of Logarithms | |
| |
| |
| |
| Solving Exponential and Logarithmic Equations | |
| |
| |
| |
| Exponential and Logarithmic Models | |
| |
| |
| |
| Exploring Data: Nonlinear Models Cumulative Test: Chapters 13 | |
| |
| |
| |
| Trigonometric Functions | |
| |
| |
| |
| Radian and Degree Measure | |
| |
| |
| |
| Trigonmetric Functions: The Unit Circle | |
| |
| |
| |
| Right Triangle Trigonometry | |
| |
| |
| |
| Trigonometric Functions of Any Angle | |
| |
| |
| |
| Graphs of Sine and Cosine Functions | |
| |
| |
| |
| Graphs of Other Trigonometric Functions | |
| |
| |
| |
| Inverse Trigonometric Functions | |
| |
| |
| |
| Applications and Models | |
| |
| |
| |
| Analytic Trigonometry | |
| |
| |
| |
| Using Fundamental Identities | |
| |
| |
| |
| Verifying Trigonometric Identities | |
| |
| |
| |
| Solving Trigonometric Equations | |
| |
| |
| |
| Sum and Difference Formulas | |
| |
| |
| |
| Multiple-Angle and Product-to-Sum Formulas | |
| |
| |
| |
| Additional Topics in Trigonometry | |
| |
| |
| |
| Law of Sines | |
| |
| |
| |
| Law of Cosines | |
| |
| |
| |
| Vectors in the Plane | |
| |
| |
| |
| Vectors and Dot Products | |
| |
| |
| |
| Trigonometric Form of a Complex Number Cumulative Test: Chapters 46 | |
| |
| |
| |
| Linear Systems and Matrices | |
| |
| |
| |
| Solving Systems of Equations | |
| |
| |
| |
| Systems of Linear Equations in Two Variables | |
| |
| |
| |
| Multivariable Linear Systems | |
| |
| |
| |
| Matrices and Systems of Equations | |
| |
| |
| |
| Operations with Matrices | |
| |
| |
| |
| The Inverse of a Square Matrix | |
| |
| |
| |
| The Determinant of a Square Matrix | |
| |
| |
| |
| Applications of Matrices and Determinants | |
| |
| |
| |
| Sequences, Series, and Probability | |
| |
| |
| |
| Sequences and Series | |
| |
| |
| |
| Arithmetic Sequences and Partial Sums | |
| |
| |
| |
| Geometric Sequences and Series | |
| |
| |
| |
| Mathematical Induction | |
| |
| |
| |
| The Binomial Theorem | |
| |
| |
| |
| Counting Principles | |
| |
| |
| |
| Probability | |
| |
| |
| |
| Topics in Analytic Geometry | |
| |
| |
| |
| Introduction to Conics: Parabolas | |
| |
| |
| |
| Ellipses | |
| |
| |
| |
| Hyperbolas | |
| |
| |
| |
| Rotation and Systems of Quadratic Equations | |
| |
| |
| |
| Parametric Equations | |
| |
| |
| |
| Polar Coordinates | |
| |
| |
| |
| Graphs of Polar Equations | |
| |
| |
| |
| Polar Equations of Conics Cumulative Test: Chapters 79 | |
| |
| |
| |
| Analytic Geometry in Three Dimensions | |
| |
| |
| |
| The Three-Dimensional Coordinate System | |
| |
| |
| |
| Vectors in Space | |
| |
| |
| |
| The Cross Product of Two Vectors | |
| |
| |
| |
| Lines and Planes in Space | |
| |
| |
| |
| Limits and an Introduction to Calculus | |
| |
| |
| |
| Introduction to Limits | |
| |
| |
| |
| Techniques for Evaluating Limits | |
| |
| |
| |
| The Tangent Line Problem | |
| |
| |
| |
| Limits at Infinity and Limits of Sequences | |
| |
| |
| |
| The Area Problem Cumulative Test: Chapters 1011 | |
| |
| |
| |
| Technology Support Guide | |
| |
| |
| |
| Review of Graphs, Equations, and Inequalities | |
| |
| |
| |
| The Cartesian Plane | |
| |
| |
| |
| Graphs of Equations | |
| |
| |
| |
| Solving Equations Algebraically and Graphically | |
| |
| |
| |
| Solving Inequalities Algebraically and Graphically | |
| |
| |
| |
| Exploring Data: Representing Data Graphically | |
| |
| |
| |
| Proofs of Selected Theorems | |
| |
| |
| |
| Concepts in Statistics | |
| |
| |
| |
| Measures of Central Tendency and Dispersion | |
| |
| |
| |
| Least Squares Regression | |
| |
| |
| |
| Solving Linear Equations and Inequalities | |
| |
| |
| |
| Systems of Inequalities | |
| |
| |
| |
| Solving Systems of Inequalities | |
| |
| |
| |
| Linear Programming | |