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Chapter 1

1.1 Linear Equations

1.2 Mathematical Modeling

1.3 Quadratic Equations

1.4 The Quadratic Formula

1.5 Other Types of Equations

1.6 Linear Inequalities

1.7 Other Types of Inequalities

Chapter 2

2.1 The Cartesian Plane

2.2 Graphs of Equations

2.3 Graphing Utilities

2.4 Lines in the Plane

2.5 Linear Modeling

Chapter 3

3.1 Functions

3.2 Graphs of Functions

3.3 Transformations of Functions

3.4 The Algebra of Functions

3.5 Inverse Functions

Chapter 4

4.1 Quadratic Functions and Models

4.2 Polynomial Functions of Higher Degree

4.3 Polynomial Division

4.4 Real Zeros of Polynomial Functions

4.5 Complex Numbers

4.6 The Fundamental Theorem of Algebra

4.7 Rational Functions

Chapter 5

5.1 Exponential Functions

5.2 Logarithmic Functions

5.3 Properties of Logarithms

5.4 Solving Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Chapter 6

6.1 Systems of Equations

6.2 Linear Systems in Two Variables

6.3 Linear Systems in Three or More Variables

6.4 Systems of Inequalities

6.5 Linear Programming

Chapter 7

7.1 Matrices and Linear Systems

7.2 Operations with Matrices

7.3 The Inverse of a Square Matrix

7.4 The Determinant of a Square Matrix

7.5 Applications of Matrices and Determinants

Chapter 8

8.1 Sequences and Summation Notation

8.2 Arithmetic Sequences and Series

8.3 Geometric Sequences and Series

8.4 The Binomial Theorem

8.5 Counting Principles

8.6 Probability

8.7 Mathematical Induction

Appendix A

A.1 Real Numbers: Order and Absolute Value

A.2 The Basic Rules of Algebra

A.3 Integer Exponents

A.4 Radicals and Rational Exponents

A.5 Polynomials and Special Products

A.6 Factoring

A.7 Fractional Expressions and Probability

Appendix B

B.1 Conic Sections

B.2 Conic Sections and Translations

Appendix C

C.1 Data and Linear Modeling

C.2 Measures of Central Tendency and Dispersion