MT A532 Course Schedule and Homework
WEEK 1: 1/18 - 1/20
Munkres, sections 54, 55: Fundamental group of the circle; Retractions and fixed pointsHomework:
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 27thMunkres, 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 typeThis 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 topologyHatcher, 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 setWEEK 6: 2/20 - 2/24
Hatcher, chapter 0, pp. 14-17Homework: 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, #26WEEK 8: 3/6 - 3/10
The midterm exam is Monday, March 6thWEEK 9: 3/20 - 3/24
Withdrawal deadline is Friday, March 24thWEEK 10: 3/27 - 3/31
Homework: p.39 #14, #16, #17p.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 classThe final is Wednesday, May 10th, 2:00-3:50PM
