Functions as models of change: polynomial, rational, exponential, logarithmic, trigonometric, and polar, plus parameters, vectors, and matrices.
Polynomial and Rational Functions
How functions change, and the behavior of polynomials and rational functions.
Exponential and Logarithmic Functions
Sequences, exponential growth, logarithms, and semi-log plots.
Trigonometric and Polar Functions
Periodic behavior, the unit circle, trig functions, and polar coordinates.
Functions Involving Parameters, Vectors, and Matrices
Parametric motion, vectors, and matrices as transformations.