Excursions in Geometry.

Catalog description

Semester course; 3 lecture hours. 3 credits. Prerequisites: MATH 300 , MATH 307 and MATH 310 , each with a minimum grade of C. An introduction to the fundamental concepts of geometry on manifolds. A study of charts and atlases, local and global properties, regular and rational functions and maps, and smoothness and tangent spaces. Other topics may include Riemannian metrics, projective varieties or integration on manifolds.