Week #1:
Jan 16  20
Homework

Geometry and Topology: Compare and Contrast.
The Fundamental Group of a Metric Space. (51, 52)
Topological Spaces. (12, 13)

Week #2:
Jan 23  27
Homework

The Product and Subspace Topologies. (15, 16)
Closed Sets, Limit Points and Continuous
Functions. (17, 18)
The Product Topology Revisited. (19)

Week #3:
Jan 30  Feb 3
Homework

The Fundamental Group Revisited. (52)
Connected Spaces and Subspaces. (23, 24)

Week #4:
Feb 6  10
Homework

Components and Local Connectedness. (25)
Compact Spaces. (26, 27)

Week #5:
Feb 13  17
Homework

Other Notions of Compactness. (28, 29)
Covering Spaces. (53)

Week #6:
Feb 20  24
Homework

The Fundamental Group of the Circle. (54)
Retractions and Fixed Points. (55)

Week #7:
Feb 27  Mar 3
Homework

The Quotient Topology. (22)
Deformation Retracts and Homotopy Type. (58)
The MidTerm Exam will be given as a take home exam during the seventh
week of class.

Week #8:
Mar 6  10
Homework

The Fundamental Group of S^{n}. (59)
Imbeddings of Manifolds. (36)
Administrative note: Friday 10 March is the MidSemester Break.
Class will not meet. Additionally, March 13 17 is Spring Break. Classes
will resume on March 20.

Week #9:
Mar 20  24
Homework

The Uryshonn Lemma. (33)
The Fundamental Group of Some Surfaces. (60)

Week #10:
Mar 27  31
Homework

Direct Sums of Abelian Groups. (67)
Free Groups and Free Products. (68, 69)

Week #11:
Apr 3  7
Homework

The Seifertvan Kampen Theorem. (70)
Administrative Note: Monday 3 November is the Course Drop and Pass/Fail
grade option deadline. Grade of "W" is assigned after this date.

Week #12:
Apr 10  14
Homework

The Seifertvan Kampen Theorem. (70)
The Fundamental Group of a Wedge of Circles. (71)

Week #13:
Apr 17  21
Homework

Adjoining a TwoCell. (72)
The Fundamental Groups of the Torus and the Dunce
Cap. (73).
Administrative Note: May 21 is Spring Carnival. Class will not meet.

Week #14:
Apr 24  28
Homework

Fundamenmtal Groups of Surfaces. (74)
Homology of SUrfaces. (75)
Cutting and pasting. (76)

Week #15:
Mar 1  5
Homework

The Classification THeorem. (77)
Constructing Compact Surfaces. (78)
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Administrative note: Friday 5 May is the last day of class.
Friday 5 May is also the course drop deadline to receive a "W" grade.

Final Exam

The Final Exam will be given as a take home
exam during the finals period.
