Dr Thompson's AP Calculus University High School

An example of the shell method

Methods of disks and washers are explored in calculating the volume of a solid. Revolution around a line not an axis is explored. Shell method introduced.

This lesson focuses upon evaluating improper integrals using limits. This lesson focuses upon evaluating improper integrals using limits. Using length of the curve, we show that the circumference of a circle of radius pi is 2*pi*r

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

This lesson focuses upon evaluating improper integrals using limits. Includes a discussion of L'Hospital's rule

Several problems are explored finding the area between two curves. Integrating with respect to y is explored as well. In the last 5 seconds, the black parabola is opening the wrong direction/. The idea being described is accurate.

Several problems are explored finding the area between two curves.

This lesson focuses upon sequences. It looks at a formal definition for the limit of a sequence.

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 electricity and Hooke's Law

This lesson focuses upon finding the length of a curve as a function of x and a function of y.