Functions and Trigonometry
You review the functions from algebra quickly, then spend most of the term on the heart of precalculus: trigonometry -- angles, the unit circle, and the sine and cosine that describe anything that repeats.
Class 1What precalculus is, and where it leads
The bridge from algebra to calculus, and why it matters.
Class 2Functions and their graphs
A solid refresher on what a function really is.
Class 3Transformations and combining functions
Reshaping graphs and building new functions from old.
Class 4Inverse functions
Undoing a function, and when you can.
Class 5Polynomial and rational functions
The graphs of powers and of one polynomial over another.
Class 6Exponential functions
Growth and decay that speed up as they go.
Class 7Logarithmic functions
The inverse of an exponential, and its rules.
Class 8Angles and the unit circle
Measuring angles, and the circle at the heart of trig.
Class 9The trigonometric functions
Sine, cosine and tangent, and what they measure.
Class 10Graphs of sine and cosine
The waves that describe anything that repeats.
Class 11Graphs of the other trig functions
Tangent and the rest, and their unusual graphs.
Class 12Semester 1 review: functions and trig
Pulling functions and the first trigonometry together.