Chapter P: Preliminary Concepts

P.1 The Real Number System
P.2 Intervals, Absolute Value, and Distance
P.3 Integer and Rational Number Exponents
P.4 Polynomials
P.5 Factoring
P.6 Rational Expressions

Chapter 1: Equations and Inequalities

1.1 Linear Equations
1.2 Formulas and Applications
1.3 Quadratic Equations
1.4 Other Types of Equations
1.5 Inequalities
1.6 Variation and Applications

Chapter 2: Functions and Graphs

2.1 A Two-Dimensional Coordinate System and Graphs
2.2 Introduction to Functions
2.3 Linear Functions
2.4 Quadratic Functions
2.5 Properties of Graphs
2.6 The Algebra of Functions
2.7 Modeling Data using Regression

Chapter 3: Polynomial and Rational Functions

3.1 Polynomial Division and Synthetic Division
3.2 Polynomial Functions
3.3 Zeros of Polynomial Functions
3.4 The Fundamental Theorem of Algebra
3.5 Rational Functions and Their Graphs

Chapter 4: Exponential and Logarithmic Functions

4.1 Inverse Functions
4.2 Exponential Functions and Their Graphs
4.3 Logarithms Functions and Their Graphs
4.4 Properties of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Applications of Exponential and Logarithmic Functions
4.7 Modeling Data with Exponential and Logarithmic Functions

Chapter 5: Topics in Analytic Geometry

5.1 Parabolas
5.2 Ellipses
5.3 Hyperbolas

Chapter 6: Systems of Equations

6.1 Systems of Linear Equations in Two Variables
6.2 Systems of Linear Equations in More Than Two Variables
6.3 Nonlinear Systems of Equations
6.4 Partial Fractions
6.5 Inequalities in Two Variables and Systems of Inequalities
6.6 Linear Programming

Chapter 7: Matrices

7.1 Gaussian Elimination Method
7.2 The Algebra of Matrices
7.3 The Inverse of a Matrix
7.4 Determinants
7.5 Cramer's Rule

Chapter 8: Sequences, Series, and Probability

8.1 Infinite Sequences and Summation Notation
8.2 Arithmetic Sequences and Series
8.3 Geometric Sequences and Series
8.4 Mathematical Induction
8.5 The Binomial Theorem
8.6 Permutations and Combinations
8.7 Introduction to Probability