This is a list of all courses offered by the Math Department.  Not all courses are offered each year.  What is provided is a general description of the courses and the prerequisites.  The actual content may vary.

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Description

This is a course in geometric topics useful for the two-dimensional display of three-dimensional figures and animation of such figures.

Prerequisites

Math 240 or MATH 461 or MATH 341

Topics

Homogenous coordinates
The projective plane and three-dimensional projective space
Lines, planes and general flats in projective space
The join operation on flats
Plucker coordinates for lines and planes
Projections to planes in space
Projections from three-dimensional space to two-dimensional space
Projection matrices
Intersections and the meet operation on flats
Duality and orthogonality
Two and three dimensional coordinate systems
Orientation, two sided projective space
Transformations: translations, rotations, reflections, scalings, and shears
Generating figures with geometric transformations
Animation