Homework Assignments



Our grader is Glynnis Kearney.  You can contact her directly if you have questions about grading, missing assignments, etc.



No
Date
Due
ASSIGNMENT
1
June 25
June 27
  • Fill out the information sheet and turn it in separately from the first homework assignment on Monday (June 27th).
  • Read sections 1 -- 6 of text.  Try for a general overview.  We won't cover this material in lecture.  I some sense, it is just "stuff we are supposed to know".  Some of it is, but some of it will be new (and not so easy).
  • Try to work the following.  Here problem 1.3 means problem #3 in section 1.  Problems in parentheses are for practice and are not to be turned in.
    • (1.1), 1.3 and 1.9
    • (2.2) and 2.5
    • (4.1, 4.2), 4.9 and (4.11)
    • 6.5 and 6.7
  • Don't panic if you find some of these tricky.  We'll talk about them in our x-hour Tuesday.
  • Also work these exercises from lecture: handout.
Assignment 1 is due in Lecture on Monday, June 27th
2
June 27
July 5
  • Read section 7 if the text
  • Read section 12 of the text
  • Work 7.2 (That is, section 7 (page 51), problem 2).
  • Work 13.1, 13.3 and 13.4 (That is, section 13 (page 83), problems 1, 3 and 4).
2X
June 28
July 5
  • Read section 13 of the text
  • Work 13.5, 13. 6 and 13.8.
3
June 29
July 5
  • Read sections 14, 15 and 16.
  • Work (page 91+) 16.1, 16.2, 16.8 and 16.9.  (Be careful with 16.8.  The answer can depend on the slope of the line.)
4
July 1
July 5
  • Read section 17 up to page 98 (Hausdorff spaces).
  • Work 17.3, (17.5), 17.6, 17.7 and (17.8).
  • Remember problems in parentheses are not to be turned in.
Assignments 2-4 are due TUESDAY July 5.
5
July 5
July 11
  • Read the rest of section 17
  • Work 17.10, 17.11, 17.13 and 17.17.
6
July 6
July 11
  • Read section 18
  • Work 18.3, (18.7a), and 18.9
7
July 8
July 11
  • Read section 19
  • Work 18.11 and (18.12)
  • Work (19.2), 19.3 and 19.6
Assignments 5-7 are due Monday, July 11th.
8
July 11
July 18
  • Read section 20 up to page 122
  • Work (20.2) and (20.3).
9
July 13
July 18
  • Read the rest of section 20.
  • Work 20.4, 20.4, 20.6 and (20.11).
10
July 15
July 18
  • Read section 21.
  • Work 21.1, 21.2, (21.6), (21.7) and (21.8).
Assignments 8-10 are due Monday, July 18th.
11
July 18
July 25
  • Read section 23
  • Stuty for exam tomorrow (see exam page).

July 19
July 20
  • In class portion of first hour exam in x-hour (1-1:50pm in our usual classroom).
  • Take home portion is at the beginning of class on Wednesday (July 20th).
12
July 20
July 25
  • Read section 24
  • Work 23.1, (23.2), 23.5, (23.7), (23.8 see example 6) and 23.10
13
July 22
July 25
  • Start reading section 26 (we are not covering section 25).
  • Work 23.3 and 23.9
  • Work 26.5.
Assignments 11-13 are due Monday, July 25th.
14
July 25
Aug 1
  • Read the rest of section 26
  • Work 26.1, (26.3), 26.4 and (26.6).
15
July 27
Aug 1
  • Read section 27
  • Work 26.9 and 26.12.
16
July 29
Aug 1
  • Read section 28
  • Look at (24.3) and (24.9) (I meant to assign these Friday, but typed the wrong chapter number.  Note that you don't have to turn these in.)
  • Work 27.1, 27.2 and 27.4
Assignments 14-16 are due Monday, August 1st.
17
Aug 1
Aug 8
  • Warning: this is going to be a busy week.  We won't meet Friday, but will meet in our x-hour.  Then we have our second exam on Tuesday (Aug 9th).
  • Reread section 28.
  • Prove the Lemma from lecture: That is, show that if X is Hausdorff and that if a is a limit point of a subset A of X, then every neighborhood of a meets A in infinitely many points.
  • Work 28.3, 28.4 and 28.5.
18
Aug 2
Aug 8
  • Read section 29
  • Work 29.1, (29.2), 29.3 and 29.4.
19
Aug 3
Aug 8
  • Read section 30
  • Work 30.4, 30.5a and 30.12

Aug 5

  • No Class Friday.  It would be advisable to use the break to get this weeks homework done early so that you can study over the weekend.
Assignments 17-19 are due Monday, August 8th.
20
Aug 8
Aug 15
  • Read section 31
  • Study for exam

Aug 9
Aug 12
  • SECOND EXAM
  • Take home portion is due on FRIDAY
21
Aug 10
Aug 15
  • Read section 32
  • Work (31.2), 31.3, 31.4, 31.5 and (31.7).
22
Aug 12
Aug 15
  • Read section 33
  • Work 32.1, (32.3), 32.4**, (32.5) and 32.6.
    (**For 32.4 you can use w/o proof that a closed subset of a Lindelöf is Lindelöf.  Then show that if A and B are disjoint closed subsets, A has a countable cover of open sets whose closures are disjoint from B and similarly for B.)
Assignments 20-22 are due Monday, August 15th.
23
Aug 15
Aug 22
  • Work 33.2, (33.5), 33.6 (you can assume the result in 33.5), and 33.7.
  • Recall that we are meeting in our x-hour this week (and next).
23A
Aug 16
Aug 22
  • Read section 34
  • Reread section 21 pages 131 and 132.
  • Work 21.6 and 21.7
  • You should be familar with the assertions in 21.11abc.  We'll talk about 21.11d in lecture.  (I am not asking you to work 21.11.  Just be sure that you are familar with the assertions there.)
24
Aug 17
Aug 22
  • Read section 35
  • Work (34.1), 34.2 (Hint: see example 3 in section 30), 34.3 and 34.4
25
Aug 19
Aug 22
  • TBA
  • Work 35.3, (35.4) and 35.5.
Assignments 20-22 are due Monday, August 22nd.
NO MORE ASSIGNMENTS WILL BE COLLECTED.  FURTHER ASSIGNMENTS ARE FOR STUDY ONLY.

Aug 22
NA
  • Read section 43 (should have been assigned Friday).
  • Read section 48
  • Work 48.2, 48.6 and 48.8
  • Recall that we will meet in our x-hour this week.

Aug 23
NA
  • Read section 49
  • Work 43.1 and 43.6
  • TBA

Aug 24
NA

  • Last day of class
  • Our final exam is Saturday, August 27th, from 3-6pm in Kemeny 105.
  • TBA