Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, Proofs in Mathematics, and P.S. Problem Solving | |
Prerequisites | |
Review of Real Numbers and Their Properties | |
Solving Equations | |
The Cartesian Plane and Graphs of Equations | |
Linear Equations in Two Variables | |
Functions | |
Analyzing Graphs of Functions | |
A Library of Functions | |
Transformations of Functions | |
Combinations of Functions: Composite Functions | |
Inverse Functions | |
Trigonometry | |
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 | |
Exponential and Logarithmic Functions | |
Exponential Functions and Their Graphs | |
Logarithmic Functions and Their Graphs | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Exponential and Logarithmic Models | |
Topics in Analytic Geometry | |
Lines | |
Introduction to Conics: Parabolas | |
Ellipses | |
Hyperbolas | |
Rotation of Conics | |
Parametric Equations | |
Polar Coordinates | |
Graphs of Polar Equations | |
Polar Equations of Conics Cumulative Test: Chapters 4–6 | |
Appendix | |
Concepts in Statistics (web) | |
Representing Data | |
Measures of Central Tendency and Dispersion | |
Least Squares Regression | |
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