MATH 321 Survey of Geometries in their Historical Contexts

Designed to provide mathematics majors, especially those concentrating in secondary education, and other mathematically inclined students with an overview of the axiomatic development and history of Euclidean and non-Euclidean geometries. Topics include Euclidean geometry, analytic geometry, hyperbolic geometry, spherical geometry, and transformations. Additional topics may be selected from affine, finite, fractal, and projective geometries and impossible constructions. Gives special attention to the contributions of diverse cultures to the field. Prerequisite: MATH 282. Offered even years only.