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Stokes' Theorem

Keywords: Vector Calculus, Stoke's Theorem, Spherical Coordinates, Cylindrical Coordinates, Coordinate Systems

vcstokes.jpg

Highlights of the activity

  1. This small group activity is designed to provide practice working with Stokes' Theorem.
  2. Students work in small groups to evaluate and compare integrals on surfaces and their (common) boundary.
  3. The whole class wrap-up discussion emphasizes the use of different coordinate systems and basis vectors when (computing the curl and) evaluating these integrals.

Reasons to spend class time on the activity

  • Gives students an opportunity to engage with, and master, Stokes' Theorem.
  • Provides opportunity to compute curl in curvilinear coordinates.
  • Emphasizes “butterfly net” nature of Stokes' Theorem.
  • Brings out surface independence of Stokes' Theorem.

Reflections

Instructor's Guide

vcstokesguide.pdf

Student Handouts

vcstokeshand.pdf


Authors: Tevian Dray and Corinne Manogue
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