MATH 518

Fall 2013 Part of Term 1

Part of Term 1
Aug 26-Dec 11

Differentiable Manifolds I

Credit: 4 hours.

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.

Prerequisite: MATH 423 or MATH 481, or consent of instructor.

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MATH 518 class schedule data for fall 2013
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	52652	Lecture-Discussion	X1	12:00PM -12:50PM	MWF	Altgeld Hall	Loja Fernandes, R	Part of Term: 1 Date Range: 08/26/13-12/11/13 Section Info: 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 <Laugesen@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering. Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS: Finance Cost Rec -UIUC, MS:Economics:Policy Econ -UIUC, MS:Statistics -UIUC, MS:Statistics -- Applied -UIUC, MS: Statistics: Analytics, or MS: Financial Engineering.