Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test
Prerequisites
Introduction to Library of Functions
Real Numbers
The Cartesian Plane and Graphs of Equations
Solving Equations Algebraically and Graphically
Lines in the Plane
Functions
Graphs of Functions
Shifting, Reflecting, and Stretching Graphs
Combinations of Functions
Inverse Functions
Trigonometric Functions
Radian and Degree Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications and Models
Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Additional Topics in Trigonometry
Law of Sines
Law of Cosines
Vectors in the Plane
Vectors and Dot Products Cumulative Test: Chapters 1–3
Complex Numbers
Complex Numbers
Complex Solutions of Equations
Trigonometric Form of a Complex Number
DeMoivre's Theorem
Analytic Geometry: Conics
Introduction to Conics: Parabolas
Ellipses
Hyperbolas
Rotation and Systems of Quadratic Equations
Topics in Analytic Geometry
Parametric Equations
Polar Coordinates
Graphs of Polar Equations
Polar Equations of Conics
The Three-Dimensional Coordinate System
Vectors in Space
The Cross Product of Two Vectors
Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Exponential and Logarithmic Models Cumulative Test: Chapters 4–7
Appendices
Technology Support Guide
Proofs of Selected Theorems
Measures of Central Tendency and Dispersion
Solving Linear Equations and Inequalities
Exploring Data
Representing Data Graphically
Linear Models and Scatter Plots
Nonlinear Models
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