Green's, Stokes', and the divergence theorems

Formal definitions of div and curl (optional reading)
Green's theorem (videos)
Green's theorem (articles)
2D divergence theorem
Stokes' theorem (videos)
Stokes' theorem (articles)
3D divergence theorem (videos)
Divergence theorem (articles)
Proof of Stokes' theorem
Types of regions in three dimensions
Divergence theorem proof
About this unit
Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions. Green's theorem and the 2D divergence theorem do this for two dimensions, then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem.