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)


See also

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