Divergence Theorem

(1.1 hours to learn)


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.


This concept has the prerequisites:


  • 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)


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


See also

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