4.3 Divergence Theorem

Lesson Objectives

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Understand and apply the Divergence theorem, an extension the flux form of Green’s Theorem to evaluate surface integrals in three dimensions.

Lesson Content

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1. Divergence Theorem (Part 1 & 2) (MathisPower)
2. Divergence Theorem of Gauss (Tisdell)
3. Flux and the Divergence Theorem (MIT)

Lesson Readings

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1. Paul’s Online Notes
2. The Idea Behind the Divergence Theorem (MathInsight)
3. Proof of the Divergence Theorem (Hawaii)

Lesson Practice Exercises/Activities

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1. Divergence/Stokes’ Example Problem
2. Explanation, Examples, and Problems with Solutions (Whitman)
3. Worked examples (MathInsight)
4. Problems with Solutions (Harvard)