
| 1. Functions & Graphs a) Graphs & Graphing Utilities b) Lines in the Plane c) Functions d) Graphs of Functions e) Shifting, Reflecting, & Stretching Graphs f) Combinations of Functions g) Inverse Functions |
7. Analytic Trigonometry a) Applications of Fundamental Identities b) Verifying Trigonometric Identities c) Solving Trigonometric Equations d) Sum & Difference Formulas e) Multiple-Angle & Product-To-Sum Formulas |
| 2. Solving Equations & Inequalities a) Linear Equations b) Linear Equations & Modeling c) Solving Equations Graphically d) Quadratic Equations e) The Quadratic Formula f) Other Types of Equations g) Linear Inequalities & Graphing Utilities h) Other Types of Inequalities & Graphing Utilities |
8. Additional Topics In Trigonometry a) Law of Sines b) Law of Cosines c) Vectors in the Plane d) Trigonometric Form of a Complex Number e) DeMoivre's Theorem & Nth Roots |
| 3. Polynomial Functions: Graphs &
Zeros a) Quadratic Functions b) Polynomial Functions of Higher Degree c) Polynomial Division & Synthetic Division d) Real Zeros of Polynomial Functions e) Complex Numbers f) Complex Zeros & The Fundamental Theorem of Algebra |
9. Linear Models & Systems of Equations a) Linear Modeling & Scatter Plots b) Solving Systems of Equations Algebraically & Graphically c) Systems of Linear Equations in Two Variables d) Matrices & Systems of Linear Equations e) Operations with Matrices f) Inverse Matrices & Systems of Linear Equations g) Systems of Inequalities |
| 4. Rational Functions & Conic Sections a) Rational Functions & Asymptotes b) Graphs of Rational Functions c) Partial Fractions d) Conic Sections & Graphs e) Conic Sections & Translations |
10. Sequences, Mathematical Induction, &
Probability a) Sequences & Summation Notation b) Arithmetic Sequences c) Geometric Sequences d) Mathematical Induction e) The Binomial Theorem f) Counting Principles, Permutations, Combinations g) Probability |
| 5. Exponential & Logarithmic Functions a) Exponential Functions & Their Graphs b) Logarithmic Functions & Their Graphs c) Properties of Logarithms d) Solving Exponential & Logarithmic Equations e) Applications of Exponential & Logarithmic Functions |
11. Parametric Equations & Polar
Coordinates a) Plane Curves & Parametric Equations b) Polar Coordinates c) Graphs of Polar Equations d) Polar Equations of Conics |
| 6. Trigonometry a) Angles & Their Measure b) Right Triangle Trigonometry c) Trigonometric Functions of Any Angle or Real Number d) Graphs of Sine and Cosine Functions e) Graphs of Other Trigonometric Functions f) Advanced Graphing Techniques g) Inverse Trigonometric Functions h) Applications of Trigonometric |
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This page was last updated on: 07/14/2006