MATH 881 DIFF MANIFOLDS I (3) I. Differentiable structures, tangent bundles, tensor bundles, vector fields and differential equations, integral manifolds, differential forms, Stokes' Theorem, DeRham cohomology, Riemannian metrics, introduction to Lie groups, topics in algebraic topology from a differentiable viewpoint. Pr.: MATH 702.

MATH 882 DIFF MANIFOLDS II (3) Continuation of MATH 881. Pr.: MATH 881.