Omilian's Calculus Class

This lesson covers the 30-60-90 and 45-45-90 special right triangles.

This lesson covers the Trigonometric Pythagorean Theorem and Law of Cosines

This lesson expands from the special right triangles to the unit circle where the radius and therefore the hypotenuse of the right triangle has a length of 1. 

These notes contain the angle addition and subtraction and double angle formulas.

Sample trigonometry problems

More practice trigonometry problems.

Basic information about functions and domain.

Domain problems

Piecewise problems and a family of simple graphs

Composite function homework.

Graphs of functions homework.

Trig graphs and inverse functions

Inverse function problems

A variety of problems involving logarithms

Finding limits using the graph of a function.

Computational limits

Infinite limits

Limits of trigonometric functions

Practice limit problems for test review

Definition of the derivative

Power rule of differentiation 

Product rule and quotient rule of differentiation.

Derivatives of trigonometric functions

Chain Rule Differentiation

Implicit differeniation 

Derivatives of logarathims and base e functions

Related rate problems

Local Linear Approximation

Using the first and second derivative to describe and graph functions.

Using the derivative to describe the motion of a particle moving along a line.

A variety of problems for the application of the derivative.

Antiderivatives and the integrals

Solving integrals using u-substitution.

Definite integral problems.

Practice problems covering all aspects of the integral.

Using the integral to describe the motion of a partical along a line.

Average value theorem for integrals.

Using the integral to find area and volume