• Chapter R: Review
• Section R.1: Real Numbers
• Section R.2: Algebra Essentials
• Section R.3: Geometry Essentials
• Section R.4: Polynomials
• Section R.5: Factoring Polynomials
• Section R.6: Synthetic Division
• Section R.7: Rational Expressions
• Section R.8: nth Roots; Rational Exponents

• Chapter 1: Equations and Inequalities
• Section 1.1: Linear Equations
• Section 1.3: Complex Numbers; Quadratic Equations in the Complex Number System
• Section 1.5: Solving Inequalities
• Section 1.6: Equations and Inequalities Involving Absolute Value
• Section 1.7: Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Application

• Chapter 2: Graphs
• Section 2.1: The Distance and Midpoint Formulas
• Section 2.2: Graphs of Equations in Two Variables; Intercepts; Symmetry
• Section 2.3: Lines
• Section 2.4: Circles
• Section 2.5: Variations

• Chapter 3: Functions and Their Graphs
• Section 3.1: Functions
• Section 3.2: The Graph of a Function
• Section 3.3: Properties of Functions
• Section 3.4: Library of Functions; Piecewise-defined Functions
• Section 3.5: Graphing Techniques: Transformations
• Section 3.6: Mathematical Models: Building Functions

• Chapter 4: Linear and Quadratic Functions
• Section 4.1: Properties of Linear Functions and Linear Models
• Section 4.2: Building Linear Models from Data
• Section 4.3: Quadratic Functions and Their Properties
• Section 4.4: Building Quadratic Models from Verbal Descriptions and from Data
• Section 4.5: Inequalities Involving Quadratic Functions
• Chapter 5: Polynomial and Rational Functions
• Section 5.1: Polynomial Functions
• Section 5.2: Graphing Polynomial Functions; Models
• Section 5.3: Properties of Rational Functions
• Section 5.4: The Graph of a Rational Function
• Section 5.5: Polynomial and Rational Inequalities
• Section 5.6: The Real Zeros of a Polynomial Function
• Section 5.7: Complex Zeros; Fundamental Theorem of Algebra

• Chapter 6: Exponential and Logarithmic Functions
• Section 6.1: Composite Functions
• Section 6.2: One-to-One Functions; Inverse Functions
• Section 6.3: Exponential Functions
• Section 6.4: Logarithmic Functions
• Section 6.5: Properties of Logarithms
• Section 6.6: Logarithmic and Exponential Equations
• Section 6.7: Financial Models
• Section 6.8: Exponential Growth and Decay Models; Newtonâ€™s Law; Logistic Growth and Decay Models
• Section 6.9: Building Exponential, Logarithmic, and Logistic Models from Data

• Chapter 7: Trigonometric Functions
• Section 7.1: Angles, Arc Length, and Circular Motion
• Section 7.2: Right Triangle Trigonometry
• Section 7.3: Computing the Values of Trigonometric Functions of Acute Angles
• Section 7.4: Trigonometric Functions of Any Angle
• Section 7.5: Unit Circle Approach; Properties of the Trigonometric Functions
• Section 7.6: Graphs of the Sine and Cosine Functions
• Section 7.7: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
• Section 7.8: Phase Shift; Sinusoidal Curve Fitting

• Chapter 8: Analytic Trigonometry
• Section 8.1: The Inverse Sine, Cosine, and Tangent Functions
• Section 8.2: The Inverse Trigonometric Functions (Continued)
• Section 8.3: Trigonometric Equations
• Section 8.4: Trigonometric Identities
• Section 8.5: Sum and Difference Formulas
• Section 8.6: Double-angle and Half-angle Formulas
• Section 8.7: Product-to-Sum and Sum-to-Product Formulas

• Chapter 9: Applications of Trigonometric Functions
• Section 9.1: Applications Involving Right Triangles
• Section 9.2: The Law of Sines
• Section 9.3: The Law of Cosines
• Section 9.4: Area of a Triangle
• Section 9.5: Simple Harmonic Motion; Damped Motion; Combining Waves
• Chapter 10: Polar Coordinates; Vectors
• Section 10.1: Polar Coordinates
• Section 10.2: Polar Equations and Graphs
• Section 10.3: The Complex Plane; De Moivre's Theorem
• Section 10.4: Vectors
• Section 10.5: The Dot Product

• Chapter 11: Analytic Geometry
• Section 11.1: Conics
• Section 11.2: The Parabola
• Section 11.3: The Ellipse
• Section 11.4: The Hyperbola
• Section 11.5: Rotation of Axes; General Form of a Conic
• Section 11.6: Polar Equations of Conics
• Section 11.7: Plane Curves and Parametric Equations

• Chapter 12: Systems of Equations and Inequalities
• Section 12.1: Systems of Linear Equations: Substitution and Elimination
• Section 12.2: Systems of Linear Equations: Matrices
• Section 12.3: Systems of Linear Equations: Determinants
• Section 12.4: Matrix Algebra
• Section 12.5: Partial Fraction Decomposition
• Section 12.6: Systems of Nonlinear Equations
• Section 12.7: Systems of Inequalities
• Section 12.8: Linear Programming

• Chapter 13: Sequences; Induction; the Binomial Theorem
• Section 13.1: Sequences
• Section 13.2: Arithmetic Sequences
• Section 13.3: Geometric Sequences; Geometric Series
• Section 13.4: Mathematical Induction
• Section 13.5: The Binomial Theorem

• Chapter 14: Counting and Probability
• Section 14.1: Counting
• Section 14.2: Permutations and Combinations
• Section 14.3: Probability

Exercises R.1.1 -