| Chapter 1 |
The Real Numbers |
| 1.1 |
Sets |
| 1.2 |
The Real Numbers |
| 1.3 |
Operations on the Set of Real Numbers |
| 1.4 |
Evaluating Expressions |
| 1.5 |
Properties of the Real Numbers |
| 1.6 |
Using the Properties |
| |
|
| Chapter 2 |
Linear Equations and Inequalities in
One Variable
|
| 2.1 |
Linear Equations in One Variable |
| 2.2 |
Formulas |
| 2.3 |
Applications |
| 2.4 |
Inequalities |
| 2.5 |
Compound Inequalities |
| 2.6 |
Absolute Value Equations and
Inequalities |
| |
|
| Chapter 3 |
Graphs and Functions in the Cartesian
Coordinate System |
| 3.1 |
Graphing Lines in the Coordinate Plane |
| 3.2 |
Slope of a Line |
| 3.3 |
Three Forms for the Equation of a Line |
| 3.4 |
Linear Inequalities and Their Graphs |
| 3.5 |
Relations and Functions |
| 3.6 |
Graphs of Functions |
| |
|
| Chapter 4 |
Systems of Linear Equations
|
| 4.1 |
Solving Systems by Graphing and Substitution |
| 4.2 |
The Addition Method |
| 4.3 |
Systems of Linear Equations in Three Variables |
| 4.4 |
Solving Linear Systems Using Matrices |
| 4.5 |
Cramer's Rule for Systems in Two Variables |
| 4.6 |
Cramer's Rule for Systems in Three Variables |
| 4.7 |
Linear Programming |
| |
|
| Chapter 5 |
Exponents and Polynomials
|
| 5.1 |
Integral Exponents and Scientific Notation |
| 5.2 |
The Power Rules |
| 5.3 |
Addition, Subtraction, and Multiplication of
Polynomials |
| 5.4 |
Multiplying Binomials |
| 5.5 |
Division of Polynomials |
| 5.6 |
Factoring Polynomials |
| 5.7 |
Factoring ax2 +
bx + c |
| 5.8 |
Factoring Strategy |
| 5.9 |
Solving Equations by Factoring |
| |
|
| Chapter 6 |
Rational Expressions
|
| 6.1 |
Properties of Rational Expressions |
| 6.2 |
Multiplication and Division |
| 6.3 |
Addition and Subtraction |
| 6.4 |
Complex Fractions |
| 6.5 |
Solving Equations Involving Rational
Expressions |
| 6.6 |
Applications |
| |
|
| Chapter 7 |
Rational Exponents and Radicals
|
| 7.1 |
Rational Exponents |
| 7.2 |
Radicals |
| 7.3 |
Operations with Radicals |
| 7.4 |
More Operations with Radicals |
| 7.5 |
Solving Equations with Radicals and Exponents |
| 7.6 |
Complex Numbers |
| |
|
| Chapter 8 |
Quadratic Equations and Inequalities
|
| 8.1 |
Factoring and Completing the Square |
| 8.2 |
The Quadratic Formula |
| 8.3 |
More on Quadratic Equations |
| 8.4 |
Quadratic and Rational Inequalities |
| |
|
| Chapter 9 |
Additional Function Topics
|
| 9.1 |
Combining Functions |
| 9.2 |
Inverse Functions |
| 9.3 |
Variation |
| 9.4 |
The Factor Theorem |
| |
|
| Chapter 10 |
Exponential and Logarithmic Functions
|
| 10.1 |
Exponential Functions |
| 10.2 |
Logarithmic Functions |
| 10.3 |
Properties of Logarithms |
| 10.4 |
Solving Equations |
| |
|
| Chapter 11 |
Nonlinear Systems and the Conic
Sections |
| 11.1 |
Nonlinear Systems of Equations |
| 11.2 |
The Parabola |
| 11.3 |
The Circle |
| 11.4 |
The Ellipse and Hyperbola |
| 11.5 |
Second-Degree Inequalities |
| |
|
| Chapter 12 |
Sequences and Series
|
| 12.1 |
Sequences |
| 12.2 |
Series |
| 12.3 |
Arithmetic Sequences and Series |
| 12.4 |
Geometric Sequences and Series |
| 12.5 |
Binomial Expansions |
| |
|
| Appendix A |
Geometry Review |
| Appendix B |
Table of Squares and Square Roots
|
| Appendix C |
Answers to Selected
Exercises
|
