Lecture 29: Applications and proof of the Divergence theorem
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Lesson Description:
A continuation of the previous lesson; applications and proof of the Divergence Theorem.
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.
Additional Resources:
- Problem Set - A problem set with some problems from this lecture.
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - Written transcript from this lesson.
Questions answered by this video:
- 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?
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Staff Review
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.
