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The Divergence Theorem      

 

The Fundamental Theorem of Calculus takes a particular important form when calculating the flux of a vector field through the boundary surface of a solid.  In this context, the fundamental theorem is known as the Divergence theorem.

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

>   

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

NOTE: Some computations are memory intensive and may slow computer significantly

The Divergence Theorem

Gauss' Theorem

Maxwell's Equations

Exercises