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My latest efforts to understand parameterized 3D surfaces. Trying to
keep it simple, just rotates a parabola around to form a surface of
revolution and uses cylindrical coordinates, the most natural for
SOR's. You can change the function. Animates the sweeping out of the
surface, and has meridians and longitudes.
Project for anyone with a _lot_ of time and energy: illustrating
integration of these surfaces and volumes, using a small sub-region
that travels through the volume. GCs fast gaphing of transparent
surfaces should make it ideal for this. (Mathematica (for about $2000
(or $200 student/teacher edition) doesn't even have transparent
surfaces.)
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