Spring 2015 MATH 214 001 LEC

Differentiable Manifolds
Schedule: 
SectionDays/TimeLocationInstructorCCN
001 LECTuTh 1230-2P 9 EVANSHUTCHINGS, M54392
Units/CreditFinal Exam GroupEnrollment
415: THURSDAY, MAY 14, 2015 3-6PLimit:37 Enrolled:32 Waitlist:0 Avail Seats:5 [on 03/22/15]
Additional Information: 

Prerequisites: 202A.

Syllabus: Smooth manifolds; tangent space and differentials; immersions and embeddings; transversality and Sard's theorem; vector fields; Lie groups and Lie algebras; flows and the Lie derivative; vector bundles and tensors; Riemannian metrics; differential forms and Stokes' theorem; de Rham cohomology; distributions and foliations; introduction to Morse theory.

Office: 923 Evans

Office Hours: TBA

Required Text: John Lee, Introduction to Smooth Manifolds, 2nd edition

Recommended Reading: M Spivak, A comprehensive introduction to differential geometry, vol. I

Grading: The course grade will be based on peer-graded homework assignments.

Homework: Homework will be assigned weekly.

Course Webpage: Will be linked from http://math.berkeley.edu/~hutching.