• Chapter P  Prerequisites

P.1 Graphical Representation of Data

P.2 Graphs of Equations

P.3 Lines in the Plane

P.4 Solving Equations Algebraically and Graphically

P.5 Solving Inequalities Algebraically and Graphically

• Chapter 1 Functions and Their Graphs

1.1 Functions

1.2 Graphs of Functions

1.3 Shifting, Reflecting, and Stretching Graphs

1.4 Combinations of Functions

1.5 Inverse Functions

• 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

• 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

• Chapter 4 Trigonometric Functions

4.1 Radian and Degree Measurement

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 Multiple-Angle and Product-Sum 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 Systems of Equations and Inequalities

7.1 Solving Systems of Equations

7.2 Systems of Linear Equations in Two Variables

7.3 Multivariable Linear Systems

7.4 Systems of Inequalities

7.5 Linear Programming

• Chapter 8 Matrices and Determinants

8.1 Matrices and Systems of Equations

8.2 Operations with Matrices

8.3 The Inverse of a Square Matrix

8.4 The Determinant of a Square Matrix

8.5 Applications of Matrices and Determinants

• Chapter 9 Sequences, Series, and Probability

9.1 Sequences and Series

9.2 Arithmetic Sequences and Partial Sums

9.3 Geometric Sequences and Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

9.6 Counting Principles

9.7 Probability

• Chapter 10 Topics in Analytic Geometry

10.1 Introduction to Conics: Parabolas

10.2 Ellipses

10.3 Hyberbolas

10.4 Rotation and Systems of Quadratic Equations

10.5 Parametric Equations

10.6 Polar Coordinates

10.7 Graphs of Polar Equations

10.8 Polar Equations of Conics

• Chapter 11 Analytic Geometry in Three Dimensions

11.1 The Three-Dimensional Coordinate System

11.2 Vectors in Space

11.3 The Cross Product of Two Vectors

11.4 Lines and Planes in Space

• Chapter 12 Limits and an Introduction to Calculus

12.1 Introduction to Limits

12.2 Techniques for Evaluating Limits

12.3 The Tangent Line Problem

12.4 Limits at Infinity and Limits of Sequences

12.5 The Area Problem