Surface Integrals and Flux      

The VectorCalculus package contains some excellent tools for working with surfaces. This is helpful because integration over a surface is an important idea in many applications.  In this section, we explore surface area and flux through a surface using these tools.  First, however, let's load some packages.

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

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Surface Area

The Flux Integral

Relationship to the Fundamental Form

Exercises