Topology - Mathematics 362 - Spring 2009

Homework

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Homework  Syllabus



HW #    Due Date    Read
Final Exam T 5/5
1:00-4:00pm
Fowler 307
Covers all HWs, with a bit of emphasis on HWs 21 and 22.
22 F 4/17 Read top of first page of Section 13.
Midterm 3 M 4/13 Covers HWs 14-20.
21 F 4/10  
20 W 4/8  
19 F 4/3 Read the rest of Section 12.
18 W 4/1 Read the first page of Section 12.
17 F 3/27 Section 11.
16 W 3/25 Section 10.
15
(15 with pictures)
W 3/18 Section 9. (pictures for page 2.)
-- M 3/16 Section 8.  Here's a "nicer" version but without pictures.
Optional problems on dense sets, Cantor function, measure zero sets
Midterm 2

Solns to
problems
1 & 2

F 3/6 Will cover HWs 8-13.
14 W 3/4 Section 7. Optional: The Long Line.
13 M 3/2 Section 6.
12 F 2/27 --
11 M 2/23 The rest of Section 5.
-- F 2/20 First page of Section 5.
10 W 2/18
F 2/20
This homework set is longer and more challenging than previous ones. We may need two class days for it; but do as many problems as you can by Monday.
9 F 2/13 Section 4.
Midterm 1 W 2/11 Covers HWs 1-7.
8
Soln #3
M 2/9 Section 3 (both pages). Also do Problem 5.6 on p. 37 of Intuitive Topology
7 F 2/6 Page 3 of Section 2.
6 W 2/4 --
5 M 2/2 Page 2 of Section 2.
Hint for the extra credit problem on the Cantor Set:
If we write all points in the Cantor Set in base 3, what do we get?
4 F 1/30 First page and a half of Section 2,  including Theorem 2 and its proof.
3 W 1/28 Page 3 of Section 1.
2 M 1/26 Page 2 of Section 1.
Solutions to problems from Intuitive Topology
Turning a punctured torus inside out: 
Version 1; Version 2 (to view these in slow motion, download the files and run in Mathematica)
1 F 1/23 Page 1 of  Section 1. Also read handout on: Intuitive Topology pages 1-3.

EC: Extra Credit problems are optional, and do not carry any points.  I encourage you to try them, and if you need hints ask me during office hours. If you succeed in solving any, please turn them in or show them to me during office hours. These are problems that are interesting and sometimes more challenging. Work on them only if you have already mastered all the other problems.