MATH 377 - Foundations of Geometry

Credits: (3)
This is a survey of geometries, both classical and modern. Topics include finite geometries, fundamental concepts of Euclidean geometry in the plane and higher dimensions, theorems leading to the modern synthetic approach, constructions and transformations, history of the parallel postulate and non-Euclidean geometries. Understanding and writing clear and consistent proofs are major course objectives. Prerequisite(s): MATH 228 Discrete Mathematics (3) or permission of the instructor. Spring, Odd Years