MT A531 Course Schedule and Homework


WEEK 1: 8/29 - 9/2

Reading: Browse chapter 1 and be sure you're comfortable with everything there, including the Axiom of Choice.
Problems: None this week.

WEEK 2: 9/5 - 9/9

No class Monday, September 5th -- Labor Day
Last day to drop without a "W": Friday, September 9th

Reading: Ch. 2, sections 12-15
Problems: p. 83 #1, #2, #3, #7
p. 92 #4, #6, #7, #9

WEEK 3: 9/12 - 9/16

Reading and Problems: catch up from last week.

WEEK 4: 9/19 - 9/23

Reading: Ch. 2, sections 16-19
Problems: p. 100 #2 (mentioned in class), #3, #5, #7, #10, #11, #13
p. 111 (note #1 was done in class), #2, #6, #10, #13

WEEK 5: 9/26 - 9/30

Reading: Ch. 2, sections 20-21 (metric topology), Ch. 3 sections 23-25 (connectedness)
p. 118 #1, #4, #7
p. 126 (note #1 was the point of the first week of class), #2, #5, #8

WEEK 6: 10/3 - 10/7

Reading: Ch. 2, sections 26-29 (compactness)
p. 133 #2, #6, #8
p. 152 #1, #2, #4, #7, #9
p. 157 #1, #2, #3, #8, #10

WEEK 7: 10/10 - 10/14

Reading: Ch. 4, sections 30-31 (separation axioms)
p. 162 #1, #3, #4
p. 171 #2, #3, #4, #6, #7, #8

WEEK 8: 10/17 - 10/21

The midterm exam is Friday, October 21st

Reading: Review for the exam
p. 177 #4, #5, #6
p. 181 #6, #7
p. 186 #1, #3, #5, #6

WEEK 9: 10/24 - 10/28

No class Monday, October 24th (Fall Break)

Reading: Ch. 4, sections 32-34 (normal spaces, Urysohn metrization)

WEEK 10: 10/31 - 11/4

Withdrawal deadline is Friday, November 4th

Reading: Ch. 5 (Tychonoff)
p. 194 #3, #4, #10, #13
p. 199 #2, #3 (what about normal?), #5, #7
p. 205 #1, #3

WEEK 11: 11/7 - 11/11

Reading: Ch. 8 (Baire category theorem, topological dimension)
p. 212 #3, #4, #7
p. 218 #1, #3, #4, #5

WEEK 12: 11/14 - 11/18

Reading: start on Ch. 9 (fundamental group, finish by class 11/28)
p. 298 #1, #2, #3
p. 315 #1, #2, #3

WEEK 13: 11/21 - 11/25

No classes Wednesday-Friday, November 23rd-25th (Thanksgiving)

p. 330 #2, #3
p. 335 #3, #4, #7
p. 341 #1, #3, #5

WEEK 14: 11/28 - 12/2

p. 348 #5, #6, #7, #8
p. 353 #1, #3, #4
p. 359 #1, #2

WEEK 15: 12/5 - 12/9

p. 366 #2, #4, #5, #9
p. 370 #1, #2, #3
p. 375 #1, #4, #5

WEEK 16: 12/12

Monday, December 12th is the last day of class
The final is December 14th, 2:00-3:50PM