Assigned Homework for Math 7512, Spring 2008
These problems will be collected and graded regularly. Unless otherwise specified, all page
numbers refer to Hatcher’s textbook.
|
Class dates |
|
Assigned problems from textbook |
Problems due on: |
|
Jan. 14-18 |
Section 1.3, pp.56-70 |
pp. 79: 7 |
Friday, Jan. 25 |
|
Jan. 23 |
|
pp. 80: 12, 16 |
Friday, Feb. 1 |
|
Through Feb. 13 |
Section 1.3, pp. 70-78 |
pp.82: 27, 30 (you can also do 31 for 2
points extra credit) |
Friday, Feb. 22 |
|
Feb. 15 |
Chapter 2, Introduction |
|
|
|
Feb. 18 |
Section 2.1, pp.
102-107 |
p. 131: 1, 3, 5 |
Wednesday, Feb. 27 |
|
Feb. 20-29 |
Section 2.1,
pp.108-113 |
p. 132: 11, 12 |
Wednesday, March 12 |
|
March 7-12 |
pp.113-124 |
p. 132: 16, 17 (can
turn in Problem 17 with next assignment; see below) |
Wednesday, March 26 |
|
March 14, 24-28 |
pp. 113-124; also
pp. 149-153 |
Compute the
(singular) homology groups for the following spaces: (1) the wedge of two circles, (2) the
wedge of n circles, (3) the torus, and (4) a closed surface of arbitrary
genus. For (1), use a method
other than the Corollary 2.25, such as Mayer-Vietoris. p. 132: 17 (the
above should help) |
Wednesday, April 2 |
|
March 31 –
April 4 |
pp. 108-109,
124-131 |
pp. 133: 29, 30 (just the third one), 31 |
Friday, April 11 |
|
April 7-11 |
pp. 134-149 Additional reading: pp. 153-155,
166-168 |
pp. 155-157: 1, 9, 10, 28 |
Friday, April 18 |
|
April 14-23 |
pp. 184-204 |
pp. 204-205: 1, 5,
6 Optional problem, p.
204: 3 (Read pp. 196-197 first for a more
general definition of Ext than that given in class.) |
Friday, April 25 |
|
April 25-April
30 |
pp. 206-223 |
pp. 228: 1 |
Friday, May 2 |
|
April 30 –
May 2 |
pp. 230-242 |
No problems assigned
from this section. |