- Schedule of Classes - June 13, 2021 7:14PM EDT
- Course Catalog - June 13, 2021 7:15PM EDT
Course information provided by the Courses of Study 2020-2021. Courses of Study 2021-2022 is scheduled to publish by July 1.
Introduction to hyperbolic and projective geometry - the classical geometries that developed as Euclidean geometry was better understood. For example, the historical problem of the independence of Euclid's fifth postulate is understood when the existence of the hyperbolic plane is realized. Straightedge (and compass) constructions and stereographic projection in Euclidean geometry can be understood within the structure of projective geometry. Topics in hyperbolic geometry include models of the hyperbolic plane and relations to spherical geometry. Topics in projective geometry include homogeneous coordinates and the classical theorems about conics and configurations of points and lines. Optional topics include principles of perspective drawing, finite projective planes, orthogonal Latin squares, and the cross ratio.
When Offered Fall (offered every 2-3 years).
Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940, or permission of instructor. Students will be expected to be comfortable with proofs.
Distribution Category (MQR-AS, SMR-AS)
Regular Academic Session.
Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
Class Number & Section Details
- MWFTo Be Assigned
- Aug 26 - Dec 7, 2021
Instruction Mode: Planned for In Person
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