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Math 53 Course Outline:
- Introduction to Dimensions
- Counting dimensions
- Coordinates
- What is the fourth dimension anyway?
- A First View: Flatland
- 2 dimensions, 3 dimensions, and higher!
- Reducing Dimensions: Unfolding
- The hypercube
- Counting parts of a polyhedron
- The Platonic solids and their analogues
- Dual polyhedra
- The Archimedean solids
- Reducing Dimensions: Shadows
- Views of the hypercube
- Orthographic projection
- Stereographic projection
- Reducing Dimensions: Slicing
- Slicing a cube
- Slicing a hypercube
- Level sets, critical points
- Video: The Hypercube: slices and projections
- Connections: The Hypercube and the Hypersphere
- Decomposition of the hypercube
- Video: The Hypersphere: Projections and foliations
- A Second Look: The Planiverse
- Some non-Euclidean geometry
- Video: The Shape of Space
- Student Project Presentations
See the course calendar for details
concerning exams and quizzes.
Up: Math 53 Home Page
Comments to:
dpvc@union.edu
Created: Mar 25 1999 ---
Last modified: Mar 25, 1999 11:28:12 AM