In this wrap-up lecture on Stokes' Theorem, the instructor reviews the past 7 weeks and provides an exam review. Stokes' Theorem states that a line integral along a closed curve in space bounding some surface S can be computed as a surface integral for flux of a different vector field, namely curl f dot NDS, given compatible orientations. The lecture also covers the concept of simply connected regions and how it applies to path independence and gradient fields. Additionally, examples of non-orientable surfaces and surface independence in Stokes' Theorem are discussed.
Learn more about Stokes' Theorem in a wrap-up lecture of the past 7 weeks as we review for the upcoming exam.
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.