Introduction to Differential Geometry

3 credits · Undergraduate

Smooth maps, tangent space, and surfaces and hypersurfaces in n-dimensional Euclidean space. Inverse and Implicit Function theorems. Sard's theorem. Transversality. Degree of a map; intersection theory modulo 2. Orientability and oriented intersection number. Prerequisite: 2501, 2600, or all of 2100, 2300, and 2410. [3] (MNS)