Introduction to Modern Differential Geometry

3 credits

Smooth manifolds, smooth maps, immersions and submersions, vector fields, vector bundles, tangent and cotangent bundles, tensors and differential forms, orientation of manifolds, integration of forms, and selected topics. [3-0-0] Prerequisite: One of MATH 221, MATH 223 and one of MATH 217, MATH 227, MATH 254, MATH 264, MATH 317 and one of MATH 319, MATH 320.