MATH 518

Fall 2022 Part of Term 1

Part of Term 1
Aug 22-Dec 7

Differentiable Manifolds I

SHOW FINAL EXAM SCHEDULE

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 2022
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	52652	Lecture-Discussion	X1	9:00AM -9:50AM	MWF	Altgeld Hall	Pascaleff, J	Part of Term: 1 Date Range: 08/22/22-12/07/22 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 <rdeville@illinois.edu> to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering. Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC Restriction(s): Restricted to Graduate - Urbana-Champaign. Not intended for MS:Economics:Policy Econ -UIUC, MS:Economics:Policy Econ -UIUC, MS: Financial Engineering, MENG:Mechanical Enginerng-UIUC, MENG:Elec & Computer Eng-UIUC, or MENG:Engineering:Comp Eng-UIUC.