Note about diffeological submanifolds.
Note about smooth functions on embedded submanifolds.
Vitaly Kuznetsov's note on the notion of smooth embeddings.
(These notes were posted after the course ended, for possible future usage.)
Comment on Question (1)(a) from the exam.
Description of the marks distribution
Here are the homework problems that were not from the book:
Office hours: after class, or by appointment.
Office: BA 6119, (416) 978-7895
TA: David Li-Bland
Wednesdays and Fridays, BA6183, 9:30 - 11:00 am,
except that from Sept.21 through Oct.7 we'll meet 9:10 - 11:00 am.
Professor Karshon will be away on the week of Nov.28th.
Manifolds, smooth maps, tangent bundles;
immersions, submersions, transversality, smooth approximations;
differential forms, integration, de Rham cohomology;
flows, Lie derivatives.
Textbook: John M. Lee, Introduction to Smooth Manifolds (also see the corrections linked from here).Other relevant books:
Prerequisites: Linear algebra; vector calculus; point set topology.
Requirements for credit: participation 5%, assignments 50%, final exam 45%.