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Apr 20, 2024
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2018-2019 Graduate Catalog [ARCHIVED CATALOG]
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MAT 562 - Modern Geometry
This course provides students with an opportunity to examine and explore, at an advanced level, a variety of geometries, including Euclidean, non-Euclidean, transformation, fractal, and projective geometries through active participation in a laboratory environment. The impact of the Parallel Postulate on the historical development of Modern Geometry provides the starting point for studying various topics, including constructions, spatial relations, formal geometric proof, the Poincaré model of hyperbolic space, polygons in hyperbolic space, isometries, composition and analysis of transformations, fractal dimension, the Mandelbrot set, applications of the cross ratio, matrix methods for perspective transformations, and applications of geometry in the real world.
3 credits
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