Dr Thompson's AP Calculus University High School

The idea of what a limit is is explored. Also the limit concept is explored graphically. Properties of limits are also discussed with graphical justification provided.

We develop from the equation that would provide the distance an object falls in t seconds the concept of average to instantaneous speed. This lesson culminates with an idea of a limit though it has yet to be defined.

Fundamental Theorem of Calculus

Some example problems involving force and work. Lifting a leaky bucket and pumping to fill a tank.

Methods of disks and washers are explored in calculating the volume of a solid.

Methods of disks and washers are explored in calculating the volume of a solid.

Several problems are explored finding the area between two curves. Integrating with respect to y is explored as well.

Focus upon real life problems and the integral as the net change. Force, Work, Acceleration, Velocity are tied together. Units are discussed. A problem with an initial velocity is examined.

Focus upon real life problems and the integral as the net change. Force, Work, Acceleration, Velocity are tied together. Units are discussed. A problem with an initial velocity is examined.

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