Prerequisite(s):
MAA 4227, graduate status or senior standing, or C.I.
Textbook(s):
V. Fullwemin, A. Pollack, Differential Topology, AMS Chelsea Publishing
Description:
Differentiable manifolds, tangent space and tangent bundle, flows and vector fields, Lie derivatives, cotangent space and cotangent bundles, Riemann metrics, connections and geodesics, applications in classical mechanics.