Stokes' theorem is an extremely powerful result in mathematical physics. It allows us to quantify how much a vector field is circulating or rotating, based on the integral of the curl.

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This video was produced at the University of Washington

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0:00 Stoke's Theorem Overview
6:59 Green's Theorem
12:22 Geometric Explanation
16:30 Examples
18:45 Green's Theorem to Compute Land Areas