MYMathApps: Calculus

26. Stokes' Theorem (The Curl Theorem) - Contents

1. The Theorem

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   1. Statement
   2. Surfaces whose Boundaries have Several Curves
   3. Surfaces with No Boundary

2. Which Surface Integrals Can be Done Using Stokes' Theorem?

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   1. Which Surface Integrals Can be Done Using Stokes' Theorem?

3. Verification

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   1. Verification

4. Proof

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   1. Proof

5. Applications

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   1. Converting Line Integrals to Surface Integrals
   2. Converting Surface Integrals to Line Integrals
   3. Path Independence
   4. Surface Independence
   5. Circulation and Vorticity of a Fluid
   6. Ampere's Law

6. Exercises

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   1. Exercises

7. Homework

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   1. Homework