Stokes' Theorem (three dimensions)
(1.3 hours to learn)
Stokes' Theorem is a theorem relating a line integral along the boundary of a surface to the integral of curl over the surface. It can be seen as a three-dimensional generalization of Green's Theorem.
This concept has the prerequisites:
- Know the definition of curl in three dimensions
- Know the statement of Stokes' Theorem (in three dimensions)
- Prove Stokes' Theorem (in three dimensions)
- Be able to use Stokes' Theorem to compute line integrals and surface integrals
Core resources (read/watch one of the following)
→ MIT Open Courseware: Multivariable Caclulus (2010)
Video lectures for MIT's introductory multivariable calculus class.
→ Multivariable Calculus
An introductory multivariable calculus textbook.
Location: Section 15.7, "Stokes' Theorem," pages 1065-1070
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