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Stoke's Theorem      

 

The Fundamental Theorem of Calculus is more than just a tool for calculating integrals.  It is a conceptual triumph, one that forever unites the elegance of geometry with the accessibility of symbolic manipulation.  Stoke's theorem is the pinnacle of this triumph, one that we will explore in this worksheet.

>    restart:with(plots):with(plottools):with(VectorCalculus):
interface(showassumed=0): #suppress indication of assumptions

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NOTE: In this worksheet the symbol delta   will be used for the partial derivative symbol.

Stoke's Theorem

Reduction to Green's Theorem

Wires and Solenoids

Exercises