Divergence Theorem

(1.1 hours to learn)

Summary

The Divergence Theorem is a theorem relating the flux across a surface to the integral of the divergence over the interior. It can be seen as a three-dimensional generalization of Green's Theorem.

Context

This concept has the prerequisites:

Goals

  • Know the definition of divergence
  • Know the statement of the Divergence Theorem in three dimensions
  • Prove the Divergence Theorem in three dimensions
  • Be able to apply the Divergence Theorem to calculate flux across a surface

Core resources (read/watch one of the following)

-Free-

MIT Open Courseware: Multivariable Caclulus (2010)
Video lectures for MIT's introductory multivariable calculus class.
Author: Denis Auroux

-Paid-

See also

-No Additional Notes-