- 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
- Section P.7: Equations
- Section P.8: Modeling with Equations
- Section P.9: Linear Inequalities and Absolute Value Inequalities

- Chapter 1: Functions and Graphs
- Section 1.1: Graphs and Graphing Utilities
- Section 1.2: Basics of Functions and Their Graphs
- Section 1.3: More on Functions and Their Graphs
- Section 1.4: Linear Functions and Slope
- Section 1.5: More on Slope
- Section 1.6: Transformations of Functions
- Section 1.7: Combinations of Functions; Composite Functions
- Section 1.8: Inverse Functions
- Section 1.9: Distance and Midpoint Formulas; Circles
- Section 1.10: Modeling with Functions

- Chapter 2: Polynomial and Rational Functions
- Section 2.1: Complex Numbers
- Section 2.2: Quadratic Functions
- Section 2.3: Polynomial Functions and Their Graphs
- Section 2.4: Dividing Polynomials; Remainder and Factor Theorems
- Section 2.5: Zeros of Polynomial Functions
- Section 2.6: Rational Functions and Their Graphs
- Section 2.7: Polynomial and Rational Inequalities
- Section 2.8: Modeling Using Variation

- Chapter 3: Exponential and Logarithmic Functions
- Section 3.1: Exponential Functions
- Section 3.2: Logarithmic Functions
- Section 3.3: Properties of Logarithms
- Section 3.4: Exponential and Logarithmic Equations
- Section 3.5: Exponential Growth and Decay; Modeling Data

- Chapter 4: Trigonometric Functions
- Section 4.1: Angles and Radian Measure
- Section 4.2: Trigonometric Functions: The Unit Circle
- Section 4.3: Right Triangle Trigonometry
- Section 4.4: Trigonometric Functions of Any Angle
- Section 4.5: Graphs of Sine and Cosine Functions
- Section 4.6: Graphs of Other Trigonometric Functions
- Section 4.7: Inverse Trigonometric Functions
- Section 4.8: Applications of Trigonometric Functions

- Chapter 5: Analytic Trigonometry
- Section 5.1: Verifying Trigonometric Identities
- Section 5.2: Sum and Difference Formulas
- Section 5.3: Double-Angle, Power-Reducing, and Half-Angle Formulas
- Section 5.4: Product-to-Sum and Sum-to-Product Formulas
- Section 5.5: Trigonometric Equations

- Chapter 6: Additional Topics in Trigonometry
- Section 6.1: The Law of Sines
- Section 6.2: The Law of Cosines
- Section 6.3: Polar Coordinates
- Section 6.4: Graphs of Polar Equations
- Section 6.5: Complex Numbers in Polar Form; DeMoivre's Theorem
- Section 6.6: Vectors
- Section 6.7: The Dot Product

- Chapter 7: Systems of Equations and Inequalities
- Section 7.1: Systems of Linear Equations in Two Variables
- Section 7.2: Systems of Linear Equations in Three Variables
- Section 7.3: Partial Fractions
- Section 7.4: Systems of Nonlinear Equations in Two Variables
- Section 7.5: Systems of Inequalities
- Section 7.6: Linear Programming

- Chapter 8: Matrices and Determinants
- Section 8.1: Matrix Solutions to Linear Systems
- Section 8.2: Inconsistent and Dependent Systems and Their Applications
- Section 8.3: Matrix Operations and Their Applications
- Section 8.4: Multiplicative Inverses of Matrices and Matrix Equations
- Section 8.5: Determinants and Cramer's Rule

- Chapter 9: Conic Sections and Analytic Geometry
- Section 9.1: The Ellipse
- Section 9.2: The Hyperbola
- Section 9.3: The Parabola
- Section 9.4: Rotation of Axes
- Section 9.5: Parametric Equations
- Section 9.6: Conic Sections in Polar Coordinates

- Chapter 10: Sequences, Induction, and Probability
- Section 10.1: Sequences and Summation Notation
- Section 10.2: Arithmetic Sequences
- Section 10.3: Geometric Sequences and Series
- Section 10.4: Mathematical Induction
- Section 10.5: The Binomial Theorem
- Section 10.6: Counting Principles, Permutations, and Combinations
- Section 10.7: Probability

- Chapter 11: Introduction to Calculus
- Section 11.1: Finding Limits Using Tables and Graphs
- Section 11.2: Finding Limits Using Properties of Limits
- Section 11.3: Limits and Continuity
- Section 11.4: Introduction to Derivatives

Exercises P.1.1 -