Math 53 (Administration)

1. Introduction to Dimensions
   1. Counting dimensions
   2. Coordinates
   3. What is the fourth dimension anyway?
2. A First View: Flatland
   1. 2 dimensions, 3 dimensions, and higher!
   2. Video: Flatland: the Movie
   3. Video: Flatland: the Film
3. Reducing Dimensions: Unfolding
   1. The hypercube
   2. Counting parts of a polyhedron
   3. The Platonic solids and their analogues
   4. Dual polyhedra (optional)
   5. The Archimedean solids (optional)
4. Reducing Dimensions: Shadows
   1. Views of the hypercube
   2. Orthographic projection
   3. Stereographic projection
5. Reducing Dimensions: Slicing
   1. Slicing a cube
   2. Slicing a hypercube
   3. Level sets, critical points (optional)
   4. Video: The Hypercube: slices and projections
6. Connections: The Hypercube and the Hypersphere
   1. Decomposition of the hypercube
   2. Video: The Hypersphere: Projections and foliations

See the course calendar for details concerning exams and quizzes.

Math 53 (Fall 2010) web pages Created: 24 Aug 2010 Last modified: Aug 25, 2010 7:43:02 AM Comments to: dpvc@union.edu

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