Precalculus

Introduction to the intuition behind limits.

Some limit exercises.

More limit exercises.

More limit exercises.

3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8)).

Intuition (but not a proof) of the Squeeze Theorem.

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1.

More limit examples.

Introduction to the arithmetic and geometric series.

Finding the sum of an infinite geometric series.

Introduction to permutations.

Introduction to combinations.

Introduction to raising (a+b)^n.

Binomial Theorem and Pascal's Triangle.

Intuition behind why binomial expansion involves combinatorics.

Exponential growth involving bacteria (some calculus in part c).

Introduction to polar coordinates.

Conversion from Cartesian to Polar Coordinates.

Converting between Cartesian and Polar functions.

Introduction to parametric equations.

Eliminating the parameter.

Removing the parameter from a more interesting example.

Parametric Equations that "move" along the same path.

Introduction to Function Inverses.

Function Inverse Example 1.

Function Inverses Example 2.

Function Inverses Example 3.