CDS 202, Winter 2009

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Course Schedule

Week Lec 1 Lec 2 Topic Reading Homework
1 N/A 8 Jan Course introduction None None
2 13 Jan 15 Jan Point set topology MTA Ch 1 HW #1 (solns)
3 20 Jan 22 Jan Inverse fcn thm, immersions, submersions MTA Ch 2 HW #2 (solns)
4 27 Jan 29 Jan Manifolds, mappings, tangent space MTA Ch 3 HW #3 (solns)
5 3 Feb 5 Feb Tangent bundle, vector fields MTA Ch 4 HW #4 (solns)
6 10 Feb 12 Feb Distributions, Frobenius theorem MTA Ch 4 HW #5 (solns)
7 17 Feb 19 Feb Lie groups and Lie algebras MTA Ch 5 HW #6 (solns)
8 24 Feb 26 Feb Tensor fields MTA Ch 6 HW #7 (solns)
9 3 Mar 5 Mar Differential forms MTA Ch 7 HW #8 (solns)
10 10 Mar 12 Mar Integration on manifolds MTA Ch 8 None