MTHE 761 - Advanced Geometry

Credits: 3
Euclidean and other geometries are developed to provide one of the basic points of view for the study of mathematics. Topics will include informal approaches to explore concepts and relationships; other geometries, such as spherical and hyperbolic; and algebraic methods involving coordinates in two or three dimensions. Vectors and transformations will be used in discussions of relations among figures and the proofs of theorems; and a study and comparison of Euclidean and hyperbolic geometries as mathematical systems.
May not be audited.