### Riemann Sums

Lets the user enter a function, and adjust the parameters for various left/right/midpoint Riemann sums.

Some programs I have written for use while teaching introductory calculus courses.

Lets the user enter a function, and adjust the parameters for various left/right/midpoint Riemann sums.

The user may enter a function and visualize the disks-and-washers decomposition of its volume of revolution.

The user may enter a function and visualize the cylindrical shells decomposition of its volume of revolution.

Some programs I have written for introducing parametric equations and fields.

Some programs potentially useful in teaching Differential Geometry.

Numerically solving the geodesic equation for the metric on the graph of $\exp(-x^2-y^2)$ from $\mathbb{R}^3$.

Solving the geodesic eqatuion on a torus of revolution in $\mathbb{R}^3$ with the induced metric. Adjust the initial location and direction to explore the positively curved exterior, negatively curved interior, and the effect of the umbilic points.

Some programs from teaching analysis.

In some sense the precursor to sinusoidal expansions, this Greek geocentric cosmological system successfully modeled non-circular motion as a sum of two circular motions.

Some programs from introductory PDEs.

Sliders allowing you to move about within a finite dimensional subspace of sinsusoidal soltuions.