Lecture 29: Applications and proof of the Divergence theorem

Lecture 29: Applications and proof of the Divergence theorem
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Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
A continuation of the previous lesson; applications and proof of the Divergence Theorem.
  • What is the Divergence Theorem?
  • What is are some applications of the Divergence Theorem?
  • What are some applications of the Divergence Theorem?
  • What does it mean for a region to be vertically simple?
  • What is the diffusion equation?
Because the Divergence Theorem was just introduced and squeezed into the last few minutes of the last lecture, it is continued in this lesson with applications and a proof of the theorem. The explanation leads to the diffusion equation, which is a partial differential equation. The physical interpretation of the theorem and equation are explained also.
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Reviewed by MathVids Staff on March 22, 2009.
 
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