Reading: Notes by J.P. May and Notes by A. Hatcher.

Reading: Chapter 0 of Hatcher's book.

Reading: For the "standard" classification proof, see Gallier and Xu's A Guide to the Classification Theorem for Compact Surfaces. See also Conway's ZIP Proof. See also Putnam's note.

Reading: Chapter 1 of Hatcher's book.

Reading: Chapter 2.1 of Hatcher's book.

Reading: Sections 1,2 of Notes by J.P. May and Chapter 1 of Notes by A. Hatcher. For solved problems, see Schaum's Outlines

Homework: Problem Set 1.

Reading: Sections 3,4 of Notes by J.P. May and Chapter 2 of Notes by A. Hatcher.

Homework: Problems 1-7 on p.28 (Chapter 2) of Notes by A. Hatcher.

Reading: Sections 5,6 of Notes by J.P. May and Chapter 3 of Notes by A. Hatcher. Also, read about the compact-open topology on p.529-532 in the Appendix to Hatcher's book.

Homework: Problem Set 2. Note that after Tues Sept 8, our next class is Thurs Sept 17, so you have two weeks for this assigment.

Reading: Chapter 4 of Notes by A. Hatcher. Also, read Shapiro's note about the Arzela-Ascoli Theorem.

Homework: Problems 2, 3, 4a on p.52 (Chapter 4) of Notes by A. Hatcher.

Reading: pp. 1-4 of Chapter 0 of Hatcher's book. Also, read Suciu's note about homotopy.

Homework: Problems 5, 6ab, 10 on p.18 (Chapter 0) of Hatcher's book.

Reading: pp. 5-17 of Chapter 0 of Hatcher's book. Also, read pp. 519-525 in the Appendix to Hatcher's book.

Homework: Problems 14, 17, 20, 21, 23 on p.19 (Chapter 0) of Hatcher's book.

Reading: Hatcher's book has a brief treatment of surfaces at the end of section 1.2 (pages 50-52) in the context of 2--dimensional cell complexes. For the "standard" classification proof, see Gallier and Xu's A Guide to the Classification Theorem for Compact Surfaces. See also Conway's ZIP Proof. See also Putnam's note.

Reading: pp. 21-24 of Chapter 1 of Hatcher's book. See also the program SeifertView.

Homework: Classify the spanning surfaces on any of these exams by D. Bayer. Also, practice identifying surfaces from surface symbols (example).

Reading: pp. 25-33 of Chapter 1 of Hatcher's book. See also an application of Sperner's Lemma in the NY Times.

Homework: Problems 1, 3, 5, 6, 8 on p.38 (Section 1.1) of Hatcher's book.

Reading: pp. 34-37, 40-52 of Chapter 1 of Hatcher's book.

Homework: Problems 16-18 on p.39 (Section 1.1) and 4, 7-14, 16 on p.53 (Section 1.2) of Hatcher's book.

Reading: pp. 56-63 of Chapter 1 of Hatcher's book.

Reading: pp. 63-70 of Chapter 1 of Hatcher's book. See also universal covering space of the double torus.

Homework: Problems 4, 8-12 on p.79 (Section 1.3) of Hatcher's book.

Reading: pp. 70-78 of Chapter 1 of Hatcher's book.

Homework: Problems 18-21, 24, 27, 29, 30 on p.80 (Section 1.3) of Hatcher's book.

Reading: pp. 87-96 (Section 1.B) of Hatcher's book.

Reading: pp. 97-107 of Chapter 2 of Hatcher's book.

Homework: Problems 3-6 on p.131 (Section 2.1) of Hatcher's book.

Reading: pp. 108-116 and 166-168 (2.A) of Chapter 2 of Hatcher's book.

Homework: Problems 11-13 on p.132 (Section 2.1) of Hatcher's book.

Reading: pp. 117-131 of Chapter 2 of Hatcher's book.

Homework: Problems 15, 17, 22, 29 on pp.132-3 (Section 2.1) of Hatcher's book.