Topic: Stokes’ Theorem

Constant Curl and Area Vector Shortcuts

Orienting Piecewise Smooth Boundaries

Singularities and the Smoothness Hypotheses

Stokes’ Theorem on Surfaces with Multiple Boundary Curves

Replacing a Difficult Surface with an Easier One

Using Hemispheres and Caps as Spanning Surfaces

Stokes’ Theorem on Closed Surfaces

Why Interior Boundary Terms Cancel

Stokes’ Theorem on Disks and Planar Patches

Deriving the Graph Version from Green’s Theorem