Riemann Sums
Lets the user enter a function, and adjust the parameters for various left/right/midpoint Riemann sums.
Teaching
Calculus I/II
Some programs I have written for use while teaching introductory calculus courses.
Disks And Washers
The user may enter a function and visualize the disks-and-washers decomposition of its volume of revolution.
Cylindrical Shells
The user may enter a function and visualize the cylindrical shells decomposition of its volume of revolution.
Calculus III/IV
Some programs I have written for introducing parametric equations and fields.
Differential Geometry
Some programs potentially useful in teaching Differential Geometry.
Geodesics on a Gaussian
Numerically solving the geodesic equation for the metric on the graph of $\exp(-x^2-y^2)$ from $\mathbb{R}^3$.
Geodesics on a Torus of Revolution
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.
Fourier Analysis
Some programs from teaching analysis.
The Ptolemaic System
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.
PDEs
Some programs from introductory PDEs.
The Wave Equation on a Rectangle
Sliders allowing you to move about within a finite dimensional subspace of sinsusoidal soltuions.
