- 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:
*n*th Roots; Rational Exponents

- Chapter 1: Equations and Inequalities
- Section 1.1: Linear Equations
- Section 1.2: Quadratic Equations
- Section 1.3: Complex Numbers; Quadratic Equations in the Complex Number System
- Section 1.4: Radical Equations; Equations Quadratic in Form; Factorable Equations
- 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 -