Parameterized surfaces

Learning objectives
  • Interpret functions from {\bf R}^2 to {\bf R}^3 as parameterized surfaces
  • Use Mathematica to explore a variety of parameterized surfaces including planes, spheres, cylinders and surfaces of revolution
  • Find parameterized tangent planes

Before class

  • Read Hughes-Hallett section 21.1
  • Ponder Hughes-Hallett problems: 21.1: 1,2,5,6,13,15,28,30.
  • Remember to bring your laptop to class for work with Mathematica.

In class