Spring 2020 video lectures

The youtube videos have the ability to display automatically generated closed captions (the CC button at the bottom right). Also note that the videos are available in a range of qualities. If you have a fast connection the high quality videos are quite a bit better.

Triple Integrals, sections 15.5, 15.6

This is my introduction to triple integrals:

These are Khan academy videos introducing triple integrals:

Triple Integrals in spherical coordinates, section 15.6

Change of variables, section 15.7

Vector fields, section 16.1:

Line integrals, section 16.2

Fundamental Theorem of Line Integrals, Section 16.3

Green's Theorem, section 16.4, part 1

Green's Theorem, section 16.4, part 2

Divergence and curl, section 16.5

Vector Functions for Surfaces, section 16.6

Surface Integrals, section 16.7

Stokes's Theorem, section 16.8

The Divergence Theorem, section 16.9