1. Algebra & Functions Review
Solving equations and inequalities
Function notation
Domain and range
Graphing functions
Transformations
Composition of functions
Inverse functions
Piecewise functions
2. Polynomial & Rational Functions
Polynomial operations
Factoring
Polynomial equations
Zeros and multiplicity
Graphs and end behavior
Rational functions
Asymptotes and holes
Graphing rational functions
Rational equations
3. Exponential & Logarithmic Functions
Exponential functions
Exponential growth and decay
Properties of exponents
Logarithmic functions
Properties of logarithms
Converting between exponential and logarithmic form
Solving exponential equations
Solving logarithmic equations
Applications
4. Trigonometric Functions
Degrees and radians
Right-triangle trigonometry
Unit circle
Six trig functions
Exact trig values
Graphs of sine, cosine, and tangent
Amplitude and period
Phase shifts and vertical shifts
Reciprocal trig functions
5. Trigonometric Equations & Identities
Fundamental identities
Reciprocal and quotient identities
Pythagorean identities
Even/odd identities
Simplifying trig expressions
Solving basic trig equations
Exact-value problems
6. Introduction to Calculus
What a limit represents
Limits from graphs
One-sided limits
Continuity
Limits involving infinity
Limits at infinity
Average vs. instantaneous rate of change
Introduction to the derivative
Basic derivative interpretation/applications