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Stokes' Theorem
Highlights of the activity
- This small group activity is designed to provide practice working with Stokes' Theorem.
- Students work in small groups to evaluate and compare integrals on surfaces and their (common) boundary.
- 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.