- 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: Analytic Geometry
- Section 7.1: Conics
- Section 7.2: The Parabola
- Section 7.3: The Ellipse
- Section 7.4: The Hyperbola

- Chapter 8: Systems of Equations and Inequalities
- Section 8.1: Systems of Linear Equations: Substitution and Elimination
- Section 8.2: Systems of Linear Equations: Matrices
- Section 8.3: Systems of Linear Equations: Determinants
- Section 8.4: Matrix Algebra
- Section 8.5: Partial Fraction Decomposition
- Section 8.6: Systems of Nonlinear Equations
- Section 8.7: Systems of Inequalities
- Section 8.8: Linear Programming

- Chapter 9: Sequences; Induction; the Binomial Theorem
- Section 9.1: Sequences
- Section 9.2: Arithmetic Sequences
- Section 9.3: Geometric Sequences; Geometric Series
- Section 9.4: Mathematical Induction
- Section 9.5: The Binomial Theorem

- Chapter 10: Counting and Probability
- Section 10.1: Counting
- Section 10.2: Permutations and Combinations
- Section 10.3: Probability

Exercises R.1.1 -