MATH 338: Homework Assignments

Turn in your homework assignment to me (in class or my office) before 4:00 PM on the due date.

  • To receive full credit, homework sets must be handed in to me on time (either in class or my office.) Turn in as much of the homework as you can by this deadline to receive partial credit. If you have a legitimate conflict you must tell me ahead of time.
  • You are encouraged to work with other students on the assignments as much as possible, but each student must write up the answers in her or his own words. You are expected to be working on the homework assignments throughout the week. DO NOT WAIT UNTIL THE DAY BEFORE IT IS DUE TO START THE ASSIGNMENT!
  • Reading the textbook is required, NOT optional. Your chances of getting a good grade in this course are infinitesimally small unless you read the textbook in addition to attending lectures.
UPDATED: Friday, May 2, 2008 at 10:12
Set Homework Problems Reading Assignment Due Date
0
None
Chapter 0
Friday, January 25
1
 Sec. 1.1: 1, 2, 3, 5, 6, 9
Sections 1.1, 1.2
Wednesday, January 30
2
 Sec. 1.2: 10, 11, 12, 16, 17, 19
Hint: For 1.16 we showed T ' is contained in T in class.
For 1.17, if p is a point on the line Ax+By=C and x is any point in R2, you may want to simply write that the distance between x and p is d(x,p).
Sections 1.3, 1.4
Monday, February 4
3
 Sec. 1.3: 25, 27, 28, 33, 34, 36
Hint: You may find DeMorgan's Laws useful. See page 13 of the textbook.
Note: I think the first part of #34 is a mistake. I.e. I'm pretty sure that the only Hausdorff topology on any finite set is the discrete topology. Can you prove this?
Sections 2.1, 2.2
Friday, February 8
4
 Sec. 2.1: 1, 2, 6, 10, 11, 12
(For #1, just state the answers. No proof necessary.)
Sections 2.3, 2.4
Wednesday, February 13
5
 Sec. 2.2: 13, 17, 18, 20, 21
Sec. 2.3: 24, 26, 28(Thm. 2.6 may help)
(For #13, #24 and #26, just state the answers. No proof necessary.)
(Read #23. You don't have to do it, but it is a very good example of a limit point without a sequence that converges to it.)
Sections 3.1, 3.2
Monday, February 18
6
 Sec. 3.1: 2, 4, 5, 6, 7, 9, 10
(For #2, 4, 5 and 6, just state the answers. No proof necessary.)
(You may find homework problem 1.3 (Chapter 1) useful.)
Sections 3.3
Friday, February 22
Exam
 Exam 1 is on Monday, Feb. 25: The exam will cover all of Sections 1.1-1.3 and 2.1-2.3 of the textbook. It will be similar to the homework. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems. We will have a review in class on Friday.
Chapters 1 and 2
Monday, February 25
Exam
Corrections
If you scored below an 80 on the midterm exam, you are REQUIRED to write up test corrections.
  1. All of you are allowed to do exam corrections, but you are only required to if you scored below an 80. These corrections will add points back to your exam, one half of the points taken off.
  2. You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct.
  3. In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect.
  4. The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by Friday, March 7. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)
DUE by
Friday, March 7
7
 Sec. 3.2: 12, 16, 17, 18, 19, 21
Sections 3.4
Monday, March 3
8
 Sec. 3.3: 23, 25, 28, 30, 33
Sec. 3.4: 35, 37
(Read but do not do #38 and #39. They are good problems to immerse your mind in...)
(For #35, remember that all 8 corners of the octagon are identified as a single point. Put this point on T#T and go from there.)
(Read #26. You may find it interesting. You can also go here to download a version of torus and klein bottle games for hours of distracting fun!)
Sections 3.5, 4.1
Wednesday, March 12
Break
Spring Break: No classes, March 17-21.
STUDY ALL WEEK...Yeah right!
Have a great and safe break!
9
 Sec. 4.1: 2, 4, 6(a), 7, 8, 14
(Read but do not do #13 and #16. These construct more continuous functions from known continuous functions.)
Sections 4.2, 4.3
Wednesday, March 26
10
 Sec. 4.2: 23, 25, 26, 29, 32, 33
(For #33, you may find Exercise 4.6 helpful.)
(Read but do not do #28 and #36.)
NOTE: Although we are skipping Ch. 5 on Metric Spaces, it is a very important topic, and you are strongly encouraged to read it thoroughly.
Sections 6.1
Wednesday, April 2
Exam
 Exam 2 is on Wednesday, April 9: The exam will cover all of Sections 3.1-3.4 and 4.1-4.2 of the textbook. It will be similar to the homework. To practice for the exam, review the homework problems, do some extra problems similar to the homework problems, and know ALL of the relevant definitions and theorems. We will have a review in class on Monday.
Chapters 3 and 4
Wednesday, April 9
Exam
Corrections
If you scored below an 80 on the midterm exam, you are REQUIRED to write up test corrections.
  1. All of you are allowed to do exam corrections, but you are only required to if you scored below an 80. These corrections will add points back to your exam, one half of the points taken off.
  2. You need to make corrections for all of the mistakes you made on the exam. Please provide the correct solution to EVERY problem that you did not get completely correct.
  3. In addition to giving the correct solution, you must GIVE AN EXPLANATION for why your original solution is incorrect.
  4. The exam corrections must be submitted to me orally. Make an appointment or come by my office hours by Monday, April 21. (It is best if you do this AS SOON AS POSSIBLE, while the exam is still fresh in your mind.)
DUE by
Monday, April 21
11
 Sec. 6.1: 2, 3, 5, 7
Sections 6.2, 6.3
Wednesday, April 16
12
 Sec. 6.2: 18, 20(not c), 23, 26, 27, 29
(For #18, you may just draw pictures. For #20f, it may be both useful and fun to make a Mobius band out of paper and cut it as indicated.)
(See if you can do #22 as well, but you don't have to turn it in.)
Sections 6.4, 6.5
Monday, April 21
13
 Sec. 6.4: 39, 41, 42, 45, 46, 49
Sections 7.1-7.5
Friday, April 25
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Tuesday, May 6
14
 Sec. 7.1: 1, 3, 5, 6
Sec. 7.5: 39, 40, 41
Sections 14.1, 14.2, 14.3
Wednesday, April 30
15
 Sec. 14.1: 9, 10
Sec. 14.2: 12, 13, 18
Chapters 8-14
There are lots of fun topics we don't have time to cover.
Friday, May 9
Final
Exam
 The Final Exam is on Friday, May 9, 12:00-3:00 pm, in class (Sturges 113): The exam is a "nonstandard" exam. Click here for more details, and we will discuss it in class on Monday, May 5.
Chapters 1-14
Friday, May 9