Table of Contents

Chapter 1 Functions and Their Graphs
 1.1 Lines in the Plane
 1.2 Functions
 1.3 Graphs of Functions
 1.4 Shifting, Reflecting, and Stretching Graphs
 1.5 Combinations of Functions
 1.6 Inverse Functions
 1.7 Linear Models and Scatter Plots

Chapter 2 Polynomial and Rational Functions
 2.1 Quadratic Functions
 2.2 Polynomial Functions of Higher Degree
 2.3 Real Zeros of Polynomial Functions
 2.4 Complex Numbers
 2.5 The Fundamental Theorem of Algebra
 2.6 Rational Functions and Asymptotes
 2.7 Graphs of Rational Functions
 2.8 Quadratic Models

Chapter 3 Exponential and Logarithmic Functions
 3.1 Exponential Functions and Their Graphs
 3.2 Logarithmic Functions and Their Graphs
 3.3 Properties of Logarithms
 3.4 Solving Exponential and Logarithmic Equations
 3.5 Exponential and Logarithmic Models
 3.6 Nonlinear Models

Chapter 4 Trigonometric Functions
 4.1 Radian and Degree Measure
 4.2 Trigonometric Functions: The Unit Circle
 4.3 Right Triangle Trigonometry
 4.4 Trigonometric Functions of Any Angle
 4.5 Graphs of Sine and Cosine Functions
 4.6 Graphs of Other Trigonometric Functions
 4.7 Inverse Trigonometric Functions
 4.8 Applications and Models

Chapter 5 Analytic Trigonometry
 5.1 Using Fundamental Identities
 5.2 Verifying Trigonometric Identities
 5.3 Solving Trigonometric Equations
 5.4 Sum and Difference Formulas
 5.5 MultipleAngle and ProductToSum Formulas

Chapter 6 Additional Topics in Trigonometry
 6.1 Law of Sines
 6.2 Law of Cosines
 6.3 Vectors in the Plane
 6.4 Vectors and Dot Products
 6.5 Trigonometric Form of a Complex Number

Chapter 7 Linear Systems and Matrices
 7.1 Solving Systems of Equations
 7.2 Systems of Linear Equations in Two Variables
 7.3 Multivariable Linear Systems
 7.4 Matrices and Systems of Equations
 7.5 Operations with Matrices
 7.6 The Inverse of a Square Matrix
 7.7 The Determinant of a Square Matrix
 7.8 Applications of Matrices and Determinants

Chapter 8 Sequences, Series, and Probability
 8.1 Sequences and Series
 8.2 Arithmetic Sequences and Partial Sums
 8.3 Geometric Sequences and Series
 8.4 The Binomial Theorem
 8.5 Counting Principles
 8.6 Probability

Chapter 9 Topics in Analytic Geometry
 9.1 Conics: Circles and Parabolas
 9.2 Ellipses
 9.3 Hyperbolas and Rotation of Conics
 9.4 Parametric Equations
 9.5 Polar Coordinates
 9.6 Graphs of Polar Equations
 9.7 Polar Equations of Conics

Chapter 10 Analytic Geometry in Three Dimensions
 10.1 The ThreeDimensional Coordinate System
 10.2 Vectors in Space
 10.3 The Cross Product of Two Vectors
 10.4 Lines and Planes in Space

Chapter 11 Limits and an Introduction to Calculus
 11.1 Introduction to Limits
 11.2 Techniques for Evaluating Limits
 11.3 The Tangent Line Problem
 11.4 Limits at Infinity and Limits of Sequences
 11.5 The Area Problem
 Appendix A Technology Support Guide

Appendix B Concepts in Statistics
 B.1 Representing Data Graphically
 B.2 Measures of Central Tendency and Dispersion
 B.3 Least Squares Regression

Appendix C Review of Graphs, Equations, and Inequalities
 C.1 The Cartesian Plane
 C.2 Graphs of Equations
 C.3 Solving Equations Algebraically and Graphically
 C.4 Solving Inequalities Algebraically and Graphically
 Appendix D Variation
 Appendix E Solving Linear Equations and Inequalities

Appendix F Systems of Inequalities
 F.1 Solving Systems of Inequalities
 F.2 Linear Programming
 Appendix G Mathematical Induction