• Chapter 1: Graphs
• Section 1.1: The Distance and Midpoint Formulas
• Section 1.2: Graphs of Equations in Two Variables; Intercepts; Symmetry
• Section 1.3: Lines
• Section 1.4: Circles

• Chapter 2: Functions and Their Graphs
• Section 2.1: Functions
• Section 2.2: The Graph of a Function
• Section 2.3: Properties of Functions
• Section 2.4: Library of Functions; Piecewise-defined Functions
• Section 2.5: Graphing Techniques: Transformations
• Section 2.6: Mathematical Models: Building Functions

• Chapter 3: Linear and Quadratic Functions
• Section 3.1: Properties of Linear Functions and Linear Models
• Section 3.2: Building Linear Models from Data
• Section 3.3: Quadratic Functions and Their Properties
• Section 3.4: Building Quadratic Models from Verbal Descriptions and from Data
• Section 3.5: Inequalities Involving Quadratic Functions

• Chapter 4: Polynomial and Rational Functions
• Section 4.1: Polynomial Functions
• Section 4.2: Graphing Polynomial Functions; Models
• Section 4.3: Properties of Rational Functions
• Section 4.4: The Graph of a Rational Function
• Section 4.5: Polynomial and Rational Inequalities
• Section 4.6: The Real Zeros of a Polynomial Function
• Section 4.7: Complex Zeros; Fundamental Theorem of Algebra

• Chapter 5: Exponential and Logarithmic Functions
• Section 5.1: Composite Functions
• Section 5.2: One-to-One Functions; Inverse Functions
• Section 5.3: Exponential Functions
• Section 5.4: Logarithmic Functions
• Section 5.5: Properties of Logarithms
• Section 5.6: Logarithmic and Exponential Equations
• Section 5.7: Financial Models
• Section 5.8: Exponential Growth and Decay Models; Newtonâ€™s Law; Logistic Growth and Decay Models
• Section 5.9: Building Exponential, Logarithmic, and Logistic Models from Data
• Chapter 6: Trigonometric Functions
• Section 6.1: Angles, Arc Length, and Circular Motion
• Section 6.2: Trigonometric Functions: Unit Circle Approach
• Section 6.3: Properties of the Trigonometric Functions
• Section 6.4: Graphs of the Sine and Cosine Functions
• Section 6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
• Section 6.6: Phase Shift; Sinusoidal Curve Fitting

• Chapter 7: Analytic Trigonometry
• Section 7.1: The Inverse Sine, Cosine, and Tangent Functions
• Section 7.2: The Inverse Trigonometric Functions (Continued)
• Section 7.3: Trigonometric Equations
• Section 7.4: Trigonometric Identities
• Section 7.5: Sum and Difference Formulas
• Section 7.6: Double-angle and Half-angle Formulas
• Section 7.7: Product-to-Sum and Sum-to-Product Formulas
• Chapter 8: Applications of Trigonometric Functions
• Section 8.1: Applications Involving Right Triangles
• Section 8.2: The Law of Sines
• Section 8.3: The Law of Cosines
• Section 8.4: Area of a Triangle
• Section 8.5: Simple Harmonic Motion; Damped Motion; Combining Waves

• Chapter 9: Polar Coordinates; Vectors
• Section 9.1: Polar Coordinates
• Section 9.2: Polar Equations and Graphs
• Section 9.3: The Complex Plane; De Moivre's Theorem
• Section 9.4: Vectors
• Section 9.5: The Dot Product
• Section 9.6: Vectors in Space
• Section 9.7: The Cross Product

• Chapter 10: Analytic Geometry
• Section 10.1: Conics
• Section 10.2: The Parabola
• Section 10.3: The Ellipse
• Section 10.4: The Hyperbola
• Section 10.5: Rotation of Axes; General Form of a Conic
• Section 10.6: Polar Equations of Conics
• Section 10.7: Plane Curves and Parametric Equations
• Chapter 11: Systems of Equations and Inequalities
• Section 11.1: Systems of Linear Equations: Substitution and Elimination
• Section 11.2: Systems of Linear Equations: Matrices
• Section 11.3: Systems of Linear Equations: Determinants
• Section 11.4: Matrix Algebra
• Section 11.5: Partial Fraction Decomposition
• Section 11.6: Systems of Nonlinear Equations
• Section 11.7: Systems of Inequalities
• Section 11.8: Linear Programming

• Chapter 12: Sequences; Induction; the Binomial Theorem
• Section 12.1: Sequences
• Section 12.2: Arithmetic Sequences
• Section 12.3: Geometric Sequences; Geometric Series
• Section 12.4: Mathematical Induction
• Section 12.5: The Binomial Theorem

• Chapter 13: Counting and Probability
• Section 13.1: Counting
• Section 13.2: Permutations and Combinations
• Section 13.3: Probability

• Chapter 14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function
• Section 14.1: Investigating Limits Using Tables and Graphs
• Section 14.2: Algebraic Techniques for Finding Limits
• Section 14.3: One-sided Limits; Continuity
• Section 14.4: The Tangent Problem; The Derivative
• Section 14.5: The Area Problem; The Integral

Exercises R.1.1 -