justcalculus

Interactive Desmos 3D widgets for computing volumes using washers, shells, and cross sections.

Solving FiveThirtyEight's Riddler: maximize the volume of a three-tiered cake that fits inside a cone using multivariable calculus.

Using parametric plotting and Mathematica to prove that the shadow a lampshade casts on a wall is a pair of hyperbolas.

Using Mathematica to simulate how a rolling shutter distorts a spinning propeller, from polar plots to contour plots to animated distortion.

Visualizing stereographic projection and the extended complex plane with an interactive Wolfram Demonstration.

Exploring one-parameter families of elliptic curves with rational torsion points of order 4 through 12, with an interactive Wolfram Demonstration.