MT A532 Course Schedule and Homework


WEEK 1: 1/18 - 1/20

Munkres, sections 54, 55: Fundamental group of the circle; Retractions and fixed points
Homework:
p. 347 #3, #4, #5
p. 353 #1, #2, #3, #4

WEEK 2: 1/23 - 1/27

Last day to drop without a "W": Friday, January 27th

Munkres, sections 56, 57: Applications (fund. theorem of alg., Borsuk-Ulam)
Homework:
p. 356, #1, #2
p. 359 #1, #2, #3, #4

WEEK 3: 1/30 - 2/3

Munkres, section 58: Deformation retracts and homotopy type
This also makes a nice transition to Chapter 0 of Hatcher's book which starts with a discussion of homotopy type. This is where we'll start.
Homework:
Munkres p. 366 #1, #2, #5, #6, #9, #10

WEEK 4: 2/6 - 2/10

Munkres, section 22: Quotient topology
Hatcher, chapter 0, pp. 1-14
Homework:
Munkres p. 144 #2, #3, #4
Hatcher p. 18 #2, #3, #4, #9, #10, #11

WEEK 5: 2/13 - 2/17

Homework: continue work on previous set

WEEK 6: 2/20 - 2/24

Hatcher, chapter 0, pp. 14-17
Homework: In-class exercises on understanding the Hopf fibration, cell structure of the projective spaces

WEEK 7: 2/27 - 3/3

Homework: p.19 #17, #18, #23, #26

WEEK 8: 3/6 - 3/10

The midterm exam is Monday, March 6th


WEEK 9: 3/20 - 3/24

Withdrawal deadline is Friday, March 24th


WEEK 10: 3/27 - 3/31

Homework: p.39 #14, #16, #17
p.52 #1, #3, #8, #9
p.79 #9, #10, #12, #13

WEEK 11: 4/3 - 4/7


WEEK 12: 4/10 - 4/14

No class Friday, April 14th (Good Friday)


WEEK 13: 4/17 - 4/21


WEEK 14: 4/24 - 4/28


WEEK 15: 5/1 - 5/5

Friday, May 5th is the last day of class
The final is Wednesday, May 10th, 2:00-3:50PM