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Unit 5: Green's, Stokes', and the divergence theorems

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About this unit

Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions. Green's theorem and the 2D divergence theorem do this for two dimensions, then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem.

Formal definitions of div and curl (optional reading)

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Green's theorem

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Practice

Green's theorem (articles)

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2D divergence theorem

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Quiz 1

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Stokes' theorem

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Stokes' theorem (articles)

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3D divergence theorem

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Divergence theorem (articles)

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Quiz 2

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Proof of Stokes' theorem

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Types of regions in three dimensions

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Divergence theorem proof

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Unit test

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