cylindrical and spherical coordinates, lecture notes

Day One:

• introduction notes:
  cylindrical  and spherical coordinates,
  
• [handout: cylindrical and spherical regions of space and their bounding surfaces: examples
                   in more detail in following expanded discussion:]
  wedding ring setup example, Cartesian to cyl or sph coordinate integration example (snow cone)
  
• weddingring.mw (bead?), snow cone: tripleintcartesian2cylsph.mw

Day Two:

• geometrical correction factor explanation for orthogonal coordinate systems
    [oblate spherical coord system real world example]
• handout on cylindrical and spherical triple integrals: examples
  
• handout on radial integration diagrams for simple circles and lines (cylinders, spheres, planes)
  
• snow cone: tripleintcartesian2cylsph.mw again, last details
• hollowpoint bullet head example: s15-8.mw
    [extra: periodic bumps on a sphere, like cosmic microwave background]

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