Topics to be covered:

Quotient Spaces, Homotopy and the Fundamental Group,
Seifert-Van Kampen Theorem, Covering Spaces,  Classification of Coverings, Simplicial complexes,
Homology, Cohomology, Smooth manifolds, Orientation, Tangent bundles, Sard's theorem, Embedding theorem.
Roughly, we will cover the following.
Ch2, Ch 3, Ch 7, Ch8, Ch9, Ch 10, Ch 11, Ch 12, Ch 13 of  Introduction to Topological Manifolds
and Ch 2 of  Topology and Geometry.

Wk	Date	Sections Covered	Topics	Problems	Pgs
1	Jan 9	Introduction Ch 3	Introduction and Quotient Spaces	hw1
	Jan 11	Ch 3	Quotient Spaces
2	Jan 16	No Class!
	Jan 18	Ch 7	Homotopy and the Fundamental Group	hw2 hw2 texfile macros.tex
3	Jan 23	Ch 7	Homotopy and the Fundamental Group
	Jan 26	Ch 7	Homotopy and the Fundamental Group	hw3 hw3 texfile
4	Jan 30	Ch 8	Homotopy and the Fundamental Group (*Circle and Spheres)
	Feb 1	Ch 8	Homotopy and the Fundamental Group (*Circle and Spheres)	hw4 hw4 texfile
5	Feb 6	Ch 9	Free Group
	Feb 8	Ch 6	Classification of Surfaces	hw5 hw5 texfile
6	Feb 13	Ch 10	Seifert-Van Kampen Theorem
	Feb 15	Ch 10	Seifert-Van Kampen Theorem	hw6 hw6 texfile
7	Feb 20	Ch 11	Covering Spaces
	Feb 22	Ch 11	Covering Spaces
8	Feb 27	Ch 12	Classification of Coverings	hw7 hw7 texfile
	Mar 1	Ch 12	Midterm
9	Mar 6	Spring break !	Have fun!
10	Mar 13	Ch 12	Classification of Coverings
	Mar 15	Ch 5	Simplicial Complexes
11	Mar 20	Ch 13	Homology
	Mar 22	Ch 13	Homology
12	Mar 27	Ch 13	Homology
	Mar 29	Ch 13	Cohomology
13	Apr 3	Ch 13	Cohomology
	Apr 5	Ch2 of Bredon	Smooth manifolds	hw8 hw8 texfile
14	Apr 10	Ch2 of Bredon	Smooth manifolds
	Apr 12	Ch2 of Bredon	Tangent fields
15	Apr 17	Ch2 of Bredon	Sard's Theorem
	Apr 19	Ch2 of Bredon	Immersion & Submersion	hw9 hw9 texfile
16	Apr 24	Ch2 of Bredon	Vector feld & Tangent bundle
	Apr 26	Ch2 of Bredon	Embedding Theorem
17	May 1	Final Exam