Dr Thompson's AP Calculus University High School

This lesson focuses upon parametric functions and their first and second derivatives.

This lesson focuses upon looking at several examples of partial fraction decomposition.

This lesson focuses upon developing the exponential function A=Pe^(rt) from a separable differential equation. Next Newton's Law of cooling is explored.

Introduction to separable differential equations

Using integration by parts. Investigate problems using this specific method. An "unknown integral" type problem is explored.

Using u-substitution to determine the antiderivative of tangent

2 examples of using a method of u substitution for indefinite integrals.

An introduction to first order differential equations and slope fields. A slope field is graphed using Geometer's Sketchpad. Strategies to investigate slope fields are given.

An introduction to first order differential equations and slope fields. A slope field is graphed using Geometer's Sketchpad. Connections to the fundamental theorem of calculus are made.

Using approximations, the volume of a pool is approximated using trapezoids.