Lecture 31: Stokes' theorem
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Lesson Description:
Learn about Stokes' Theorem and why it is useful.
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.
- Transcript of Lesson - Written transcript from this lesson.
- Lecture Notes - Lecture Notes from this lesson.
Questions answered by this video:
- 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?
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Staff Review
This lesson starts with a quick review of 3-dimensional curl from last lecture, and moves into Stokesâ 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 Greenâs Theorem was simply a special case of Stokesâ Theorem.
