Additional resources #

This page collects the slides, animations, and notebooks I use during our class meetings. Click any image to open it full size.

Slides #

Introduction to multivariate functions

Graphs and contour diagrams #

Life in four dimensions #

Spheres and cones. Slicing a sphere and a cone one dimension at a time.

The hypercube.

Hypersurfaces.

Saddle points #

A variety of saddles.

Mathematica notebooks #

• Tangent lines to surfaces

• Fitting polynomials: polynomials  •••  validation  •••  gradient descent

Vector fields #

Vector fields turn up wherever a quantity has a direction at every point — in the world, in the sciences, and in economics. Hover over any image for a word about what it shows.