Functions

1. Domain and range
2. Graphing
3. Composition

Complex Numbers

1. Basic operations

Polynomial Functions

1. Zeros
2. Remainder and factor theorem
3. Graphing

Rational Functions

1. Graphing
2. Applications

Inverse Functions

1. 1-to-1
2. Domain and range

Exponential and Logarithmic Functions

1. Graph
2. Simplify expressions
3. Convert
4. Solving

Trigonometric Functions

1. Measuring angles using degrees and radians
2. Use the unit circle to define trig functions
3. Use right triangles to define trig functions
4. Graphs
5. Inverse trig functions (including domains and ranges)
6. Solving trig equations
7. Applications

Other Topics in Trigonometry (Not Optional)

1. Verifying trig identities
2. Law of sines
3. Law of cosines
4. Introduction to vectors

Optional Topics

1. Systems
2. Linear and/or non-linear
3. Applications
4. Inequalities
5. Matrices
6. Sequences and series
7. Conic sections
8. Combinatorics
9. Introduction to limits
10. Introduction to polar coordinates
11. Introduction to parametric equations