Trig Identities, Polar, and a Preview of Calculus
You go deeper into trigonometry -- right triangles, the laws of sines and cosines, identities and equations -- then meet polar coordinates, vectors, conic sections and sequences, and finish with a first real look at the limits that calculus is built on.
Class 1Right triangle trigonometry
Trigonometry the older way, with the sides of a triangle.
Class 2The laws of sines and cosines
Solving triangles that are not right-angled.
Class 3Trigonometric identities
The equations that are always true, and why they help.
Class 4Solving trigonometric equations
Finding the angles that make a trig equation true.
Class 5Complex numbers and polar form
A different way to write and multiply complex numbers.
Class 6Polar coordinates and curves
Describing points by angle and distance instead of x and y.
Class 7Vectors
Quantities with both size and direction.
Class 8Systems of equations and inequalities
Solving several conditions that must all hold.
Class 9Conic sections
The curves you get by slicing a cone.
Class 10Sequences and series
Lists of numbers with a pattern, and their sums.
Class 11The binomial theorem and induction
Expanding powers, and proving a pattern holds forever.
Class 12A preview of calculus: limits
The first idea of calculus, and where precalculus was heading.