- Chapter 1: Prerequisites: Fundamental Concepts of Algebra
- Section P.1: Algebraic Expressions, Mathematical Models, and Real Numbers
- Section P.2: Exponents and Scientific Notation
- Section P.3: Radicals and Rational Exponents
- Section P.4: Polynomials
- Section P.5: Factoring Polynomials
- Section P.6: Rational Expressions

- Chapter 1: Equations and Inequalities
- Section 1.1: Graphs and Graphing Utilities
- Section 1.2: Linear Equations and Rational Equations
- Section 1.3: Models and Applications
- Section 1.4: Complex Numbers
- Section 1.5: Quadratic Equations
- Section 1.6: Other Types of Equations
- Section 1.7: Linear Inequalities and Absolute Value Inequalities

- Chapter 2: Functions and Graphs
- Section 2.1: Basics of Functions and Their Graphs
- Section 2.2: More on Functions and Their Graphs
- Section 2.3: Linear Functions and Slope
- Section 2.4: More on Slope
- Section 2.5: Transformations of Functions
- Section 2.6: Combinations of Functions; Composite Functions
- Section 2.7: Inverse Functions
- Section 2.8: Distance and Midpoint Formulas; Circles

- Chapter 3: Polynomial and Rational Functions
- Section 3.1: Quadratic Functions
- Section 3.2: Polynomial Functions and Their Graphs
- Section 3.3: Dividing Polynomials; Remainder and Factor Theorems
- Section 3.4: Zeros of Polynomial Functions
- Section 3.5: Rational Functions and Their Graphs
- Section 3.6: Polynomial and Rational Inequalities
- Section 3.7: Modeling Using Variation

- Chapter 4: Exponential and Logarithmic Functions
- Section 4.1: Exponential Functions
- Section 4.2: Logarithmic Functions
- Section 4.3: Properties of Logarithms
- Section 4.4: Exponential and Logarithmic Equations
- Section 4.5: Exponential Growth and Decay; Modeling Data

- Chapter 5: Systems of Equations and Inequalities
- Section 5.1: Systems of Linear Equations in Two Variables
- Section 5.2: Systems of Linear Equations in Three Variables
- Section 5.3: Partial Fractions
- Section 5.4: Systems of Nonlinear Equations in Two Variables
- Section 5.5: Systems of Inequalities
- Section 5.6: Linear Programming

- Chapter 6: Matrices and Determinants
- Section 6.1: Matrix Solutions to Linear Systems
- Section 6.2: Inconsistent and Dependent Systems and Their Applications
- Section 6.3: Matrix Operations and Their Applications
- Section 6.4: Multiplicative Inverses of Matrices and Matrix Equations
- Section 6.5: Determinants and Cramer's Rule

- Chapter 7: Conic Sections and Analytic Geometry
- Section 7.1: The Ellipse
- Section 7.2: The Hyperbola
- Section 7.3: The Parabola

- Chapter 8: Sequences, Induction, and Probability
- Section 8.1: Sequences and Summation Notation
- Section 8.2: Arithmetic Sequences
- Section 8.3: Geometric Sequences and Series
- Section 8.4: Mathematical Induction
- Section 8.5: The Binomial Theorem
- Section 8.6: Counting Principles, Permutations, and Combinations
- Section 8.7: Probability

Exercises P.1.1 -