- For Wednesday, January 16.

Read pp. 1-6.

On Wednesday, Jan 23, turn in p. 7 #1 (You may omit part (3).) , 2

- For Friday, January 18.

Read pp. 7-14. - For Wednesday, January 23.

There is no class Monday January 21, for MLK Day.

On Wednesday, Jan 23, turn in p. 7 #1 (You may omit part (3).) , 2

- For Friday, January 25.

Read pp. 15-19.

On Wednesday, January 30, turn in p. 14 # 1, 5; p. 19 # 1bc.

- For Friday, February 1.

Read pp. 20-25.

On Wednesday, February 6, turn in p. 19 # 2(for 3.11 and 3.13), 3; p. 26 # 3ab.

- For Monday, February 4.

Read pp. 26-32. - For Friday, February 8.

Read pp. 33-40.

On Wednesday, February 13 turn in: p. 26 # 3cd; p. 33 # 4, 5, 6.

- For Friday, February 15.

Read pp. 41-43.

On Wednesday, February 20 turn in: p. 40 # 3, 6a. - For Monday, February 18.

Read pp. 43-46. - For Friday, February 22.

Read pp. 47-50.

On Wednesday, February 27 turn in HW # 6: p. 43 # 1; p. 46 # 1; p. 51 # 2.

- For Monday, February 25.

Read pp. 51-52.

- For Wednesday, February 27.

Read p. 62-69.

- For Friday, March 1.

On Wednesday, March 6 turn in: HW # 7: p. 52 # 3, p. 70 # 2 [just do it for g and h], 3. - For Monday, March 4.

Read pp. 71-72.

- For Wednesday, March 6.

Read pp. 129-135.

Turn in: HW # 7: p. 52 # 3, p. 70 # 2 [just do it for g and h], 3. - For Friday, March 8.

On Wednesday, March 13 turn in: p. 135-136 # 2ab, 3, 6. [For #2b see p. 23. In # 6 use the Klein bottle on page 37, where C = z1 and A = w1.] - For Monday, March11.

Read pp. 136-141.

- For Wednesday, March 13.

Read pp. 142-144.

- For Friday, March 15.

On Wednesday March 27 turn in p. 141 # 1, 3, 6a (You may assume r is simplicial. A retraction r: X to A, where A is a subspace of X, is a continuous map r: X to A such that r i = 1_A where i is the inclusion map i: A to X and 1_A is the identity map on A. ) - For Monday, March 25.

Read pp. 145-148.

- For Wednesday, March 27.

Read pp. 162-167. Turn in p. 141 # 1, 3, 6a. - For Friday, March 29.

Read pp. 168-175.

For Wednesday, April 3 turn in p. 144 # 1bc, 2; p. 168 # 1. - For Friday, April 5.

Read pp. 181-182.

On Wednesday, April 10 turn in p. 175 # 3. Also turn in: Find the singular homology groups for all p of (a) Moebius strip (b) a tree (c) S1 cross S1. [Hint: first find the homology groups of (S1 cross I, S1 cross {0,1}).] - For Monday, April 8.

Read pp. 116-120. - For Wednesday, April 10.

Read pp. 245-250.

There is also an assignment due. - For Friday, April 12.

The final exam schedule is Tuesday, May 7, 12:00 - 2:00. I plan to have an individual oral final exam.

On Wednesday, April 17, turn in:

(1) Let S1 be the unit circle in the complex plane. Define T: Delta1 to S1 by T(t) = cos(2št) + i sin(2št). We know that the singular homology class of T generates H1(S1).

Define f: S1 to S1 by f(z)= z^2.

(a) Prove that f#(T) is homologous to 2 T by giving an explicit singular 2 simplex with boundary 2T - f#(T).

(b) Find deg(f).

(2) p.121 # 2.

(3) p. 250 # 1.

- For Monday, April 15.

Read pp. 251-256. - For Wednesday, April 17.

There is an assignment due. - For Wednesday, April 24, there is an assignment due. See the sheet.
- For Monday, April 22.

Read pp. 257-261.

- For Wednesday, April 24.

Read the handout. There is an assignment due.

- For Wednesday, May 1.

Read pp. 285-291.