These are videos of my lectures for Chapter 16 during the Fall 2013 semester of Calculus III. These were prepared as a resource to be used during my maternity leave in Spring 2014.

Please note that these are unedited videos filmed by my student T.A. For some days we used different recording resolutions, so the videos may not be consistent in quality.

Below are links to YouTube playlists for each lesson.

- 16.1 & 16.5 Vector Fields, Curl, and Divergence
- 16.2 Line Integrals
- 16.3 The Fundamental Theorem of Line Integrals
- 16.4 Green's Theorem
- 16.6 Parametric Surfaces (Note: Two clips added at end to better explain second part of notes.)
- 16.7 Surface Integrals (Note: Surface Integrals Flow Chart added 2015.)
- 16.9 Divergence Theorem (Note: I teach 16.9 before 16.8.)
- 16.8 Stokes' Theorem (Note: After notes, one clip explaining homework notation and one clip summarizing end of chapter.)

*Abby Brown
Torrey Pines High School, San Diego, CA
December 2013*