Green's Theorem is a special case of Stoke's 1 Some examples for - PDF document

Green's Theorem is a special case of Stoke's 1

Some examples for Stoke's Theorem 2

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Divergence Theorem 10

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Some commonly­used formulas resulting from the Divergence Theorem 14

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Extension of the Divergence Theorem 19

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Application: Conservation laws in fluid dynamics are derived partially by using the Divergence Theorem. *Students are not responsible for this section of material.* 21

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*This is a "partial differential equation" or PDE. *You need to specify things called "initial conditions" and "boundary conditions". *You would need to know what the velocity is everywhere to solve for the density. Usually you don't have this and need to solve more complicated equations (in fact, we usually can't solve them directly). 26

Practice! 27

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