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.
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.
