## Table of Contents

**R. Review of Basic Concepts**

R-1 Sets

R-2 Real Numbers and Their Properties

R-3 Polynomials

R-4 Factoring Polynomials

R-5 Rational Expressions

R-6 Rational Exponents

R-7 Radical Expressions

**1. Equations and Inequalities**

1-1 Linear Equations

1-2 Applications and Modeling with Linear Equations

1-3 Complex Numbers

1-4 Quadratic Equations

1-5 Applications and Modeling with Quadratic Equations

1-6 Other Types of Equations and Applications

1-7 Inequalities

1-8 Absolute Value Equations and Inequalities

**2. Graphs and Functions**

2-1 Rectangular Coordinates and Graphs

2-2 Circles

2-3 Functions

2-4 Linear Functions

2-5 Equations of Lines and Linear Models

2-6 Graphs of Basic Functions

2-7 Graphing Techniques

2-8 Function Operations and Composition

**3. Polynomial and Rational Functions**

3-1 Quadratic Functions and Models

3-2 Synthetic Division

3-3 Zeros of Polynomial Functions

3-4 Polynomial Functions: Graphs, Applications, and Models

3-5 Rational Functions: Graphs, Applications, and Models

3-6 Variation

**4. Inverse, Exponential, and Logarithmic Functions**

4-1 Inverse Functions

4-2 Exponential Functions

4-3 Logarithmic Functions

4-4 Evaluating Logarithms and the Change-of-Base Theorem

4-5 Exponential and Logarithmic Equations

4-6 Applications and Models of Exponential Growth and Decay

**5. Systems and Matrices**

5-1 Systems of Linear Equations

5-2 Matrix Solution of Linear Systems

5-3 Determinant Solution of Linear Systems

5-4 Partial Fractions

5-5 Nonlinear Systems of Equations

5-6 Systems of Inequalities and Linear Programming

5-7 Properties of Matrices

5-8 Matrix Inverses

**6. Analytic Geometry**

6-1 Parabolas

6-2 Ellipses

6-3 Hyperbolas

6-4 Summary of the Conic Sections

**7. Further Topics in Algebra**

7-1 Sequences and Series

7-2 Arithmetic Sequences and Series

7-3 Geometric Sequences and Series

7-4 The Binomial Theorem

7-5 Mathematical Induction

7-6 Counting Theory

7-7 Basics of Probability

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications