AP Calculus AB Course Outline
Unit 1: Pre-Calculus Review
A. Lines
1. Slope as rate of change
2. Parallel and perpendicular lines
3. Equations of lines
B. Functions and graphs
1. Functions: parabolas, circles, ellipses, rational expressions, radical equations
a. Characteristics
b. Standard and general forms
c. Completing the square
d. Zeroes, asymptotes, points of interest
2. Domain and range of functions: set notation and interval notation
3. Families of function
4. Piecewise functions
5. Composition of functions
C. Exponential and logarithmic functions
1. Exponential growth and decay
2. Inverse functions
3. Logarithmic functions
4. Properties of logarithms
D. Trigonometric functions
1. Graphs of basic trigonometric functions
a. Domain and range
b. Transformations
c. Inverse trigonometric functions
E. Solving equations
1. Absolute value
2. Using matrices
3. Substitution
4. Factoring
F. Even and odd functions
Review of Refresher Material (practice test)
Solutions to Tests