Lecture 28: Divergence theorem

Lecture 28: Divergence theorem
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Taught by OCW
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.
Learn what the Divergence Theorem is, what it means, and how to use it.
  • What is the Divergence Theorem in three dimensions?
  • How do you find the normal vector in three dimensions?
  • Why does n hat dS = +- <-fx, -fy, 1> dx dy?
  • How do you find the flux F = zk through a portion of paraboloid z = x^2 + y^2 above the unit disk?
  • What is the Gauss-Green Theorem?
More about flux and surface integrals are covered in this lecture. Example problems are computed and explained in the video. The Divergence Theorem (or the Gauss-Green Theorem) is finally introduced and explained quickly in the final six minutes of this lecture. An example is shown and the geometric idea is explained.
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Reviewed by MathVids Staff on March 22, 2009.
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