Contents

1. Title Page
2. Table of Contents
3. Preface
   1. A Message to the Student
   2. Important Information
   3. Schedule
   4. Habits for Success
4. 1 Fundamental Concepts of Algebra
   1. 1.1 Real Numbers
   2. 1.2 The Arithmetic of Algebraic Expressions
   3. 1.3 Properties of Exponents
   4. 1.4 Properties of Radicals
   5. 1.5 Polynomials
   6. 1.6 Factoring Polynomials
   7. 1.7 Rational Expressions
   8. 1.8 Complex Numbers
5. 2 Equations and Inequalities in One Variable
   1. 2.1 Linear Equations in One Variable
   2. 2.2 Linear Inequalities in One Variable
   3. 2.3 Quadratic Equations in One Variable
   4. 2.4 Polynomial and Polynomial-Like Equations in OneVariable
   5. 2.5 Rational Equations in One Variable
   6. 2.6 Radical Equations in One Variable
6. 3 Equations and Inequalities in Two Variables
   1. 3.1 The Cartesian Coordinate System
   2. 3.2 Circles
   3. 3.3 Linear Equations in Two Variables
   4. 3.4 Slope and Forms of Linear Equations
   5. 3.5 Parallel and Perpendicular Lines
   6. 3.6 Linear Inequalities in Two Variables
7. 4 Relations, Functions, and Their Graphs
   1. 4.1 Relations and Functions
   2. 4.2 Linear Functions
   3. 4.3 Quadratic Functions
   4. 4.4 Other Common Functions
   5. 4.5 Variation and Multivariable Functions
   6. 4.6 Mathematical Models
8. 5 Working with Functions
   1. 5.1 Transformations of Functions
   2. 5.2 Properties of Functions
   3. 5.3 Combining Functions
   4. 5.4 Inverses of Functions
9. 6 Polynomial and Rational Functions
   1. 6.1 Polynomial Functions and Polynomial Inequalities
   2. 6.2 Polynomial Division and the Division Algorithm
   3. 6.3 Locating Real Zeros of Polynomial Functions
   4. 6.4 The Fundamental Theorem of Algebra
   5. 6.5 Rational Functions and Rational Inequalities
10. 7 Exponential and Logarithmic Functions
    1. 7.1 Exponential Functions and Their Graphs
    2. 7.2 Exponential Models
    3. 7.3 Logarithmic Functions and Their Graphs
    4. 7.4 Logarithmic Properties and Models
    5. 7.5 Exponential and Logarithmic Equations
11. 8 Conic Sections
    1. 8.1 Ellipses
    2. 8.2 Parabolas
    3. 8.3 Hyperbolas
12. 9 Systems of Equations and Inequalities
    1. 9.1 Solving Systems of Linear Equations by Substitution and Elimination
    2. 9.2 Matrix Notation and Gauss-Jordan Elimination
    3. 9.3 Determinants and Cramer's Rule
    4. 9.4 Basic Matrix Operations
    5. 9.5 Inverses of Matrices
    6. 9.6 Systems of Linear Inequalities and Linear Programming
    7. 9.7 Systems of Nonlinear Equations and Inequalities
13. 10 Sequences, Series, Combinatorics, and Probability
    1. 10.1 Sequences and Series
    2. 10.2 Arithmetic Sequences and Series
    3. 10.3 Geometric Sequences and Series
    4. 10.4 Mathematical Induction
    5. 10.5 Combinatorics
    6. 10.6 Probability