Stokes' Theorem (three dimensions)

(1.3 hours to learn)

Summary

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.

Context

This concept has the prerequisites:

Goals

  • 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)

-Free-

MIT Open Courseware: Multivariable Caclulus (2010)

-Paid-

See also

-No Additional Notes-