Dr Thompson's AP Calculus University High School

Taking derivatives implicitly

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

We explore geometric series. We create new power series from known ones by differentiation and integration. The power ... Read more

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

Several problems are explored finding the area between two curves.

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

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

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

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

2 examples using two methods of u substitution for indefinite integrals.

An introduction to first order differential equations and slope fields. A slope field is graphed using Geometer's Sketc... Read more

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

The lesson begins with a connection being illustrated between position and velocity. This is a review. However, the a... Read more

This section looks at several properties of definite integrals including how to combine or separate them over a given in... Read more

A reimann sum is constructed and then developed into the definite integral. A connection to area is explored. Definite... Read more

Examine a more complicated example

Examines how the slope of the tangent line at a point could aid in the estimation of a function value or in estimation o... Read more

Investigation of the antiderivative of a function. We look at how there are multiple functions that can satisfy a speci... Read more

Investigate the definition of a critical point. Examine various functions and their extrema.