## Lecture 31: Stokes' theorem

Lecture 31: Stokes' 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 about Stokes' Theorem and why it is useful.
• What is Stokes' Theorem?
• How do you use the right-hand rule in three dimensions?
• How are Stokes' Theorem and Green's Theorem similar?
• Why is Stokes' Theorem true?
This lesson starts with a quick review of 3-dimensional curl from last lecture, and moves into Stokes’ Theorem. The physical, geometrical interpretation of the regions and the normal vectors to the region are shown. A flat region, a cone, and a cylinder are used as example objects to understand concepts. We find out the Green’s Theorem was simply a special case of Stokes’ Theorem.
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Reviewed by MathVids Staff on March 22, 2009.