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Table of Contents
Order and Absolute Value.
Polynomials; The Binomial Theorem.
2. Equations and Inequalities.
Linear Applications and Modeling.
Quadratic Applications and Modeling.
Other Types of Equations.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
5. Exponential and Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and Logarithmic Equations.
Applications and Models of Exponential Growth and Decay.
6. Trigonometric Functions.
Trigonometric Functions and Fundamental Identities.
Finding Trigonometric Function Values.
Solving Right Triangles.
Circular Functions and Their Applications.
Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
7. Trigonometric Identities and Equations.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double-Angle Identities and Half-Angle Identities.
Inverse Trigonometric Functions.
Equations with Inverse Trigonometric Functions.
8. Applications of Trigonometry.
The Law of Cosines.
Vectors and Their Applications.
Products and Quotients of Complex Numbers.
Powers and Roots of Complex Numbers.
9. Systems of Equations and Inequalities.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
10. Analytic Geometry.
Summary of the Conic Sections.
11. Further Topics in Algebra.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Basics of Probability.