MATH 518 X1 - Differentiable Manifolds I
Definitions and properties of differentiable manifolds and maps, (co)tangent bundles, vector fields and flows, Frobenius theorem, differential forms, exterior derivatives, integration and Stokes' theorem, DeRham cohomology, inverse function theorem, Sard's theorem, transversality and intersection theory. Course Information: Prerequisite: MATH 423 or MATH 481, or consent of instructor.
Undergraduate students may register with approval. For more information go to room 313 AH. Students from the following programs must contact the Director of Graduate Studies in Mathematics Academic Program Restrictions: MS:Economics:Policy Econ -UIUC
Course Level: Graduate Credit: 4 Term(s): Fall
Option 1Number of Required Visit(s): 0
Academic Program Restrictions:
MS:Economics:Policy Econ -UIUC
Course Level: Graduate