|
|
| Line 2: |
Line 2: |
|
{{In Preparation}} |
|
{{In Preparation}} |
|
===Reading=== |
|
===Reading=== |
|
'''Read''' sections ??? in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, '''preread''' sections ???, just to get a feel for the future. |
|
'''Read''' sections <math>\{31,32,33\}</math> in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, '''preread''' sections <math>\emptyset</math>, just to get a feel for the future. |
|
|
|
|
|
===Doing=== |
|
===Doing=== |
|
Solve and submit the following problems. |
|
Solve and submit the following problems from Munkres' book: |
|
|
* Problem 1 on page 199. |
|
|
|
|
'''Problem 1.'''
|
|
* Problem 1 on page 205. |
|
|
* Problems 1, 4, 5, 8, 9 on pages 212-213. |
|
|
|
|
|
===Due date=== |
|
===Due date=== |
Revision as of 21:29, 18 November 2010
| Additions to the MAT 327 web site no longer count towards good deed points
|
| #
|
Week of...
|
Notes and Links
|
| 1
|
Sep 13
|
About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
|
| 2
|
Sep 20
|
Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
|
| 3
|
Sep 27
|
Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
|
| 4
|
Oct 4
|
Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
|
| 5
|
Oct 11
|
Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
|
| 6
|
Oct 18
|
Monday - connectedness in  , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
|
| 7
|
Oct 25
|
Monday - Compactness of ![{\displaystyle [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d) , Term Test on Thursday, TT Solutions
|
| 8
|
Nov 1
|
Monday - compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday - compactness of products and in metric spaces, the FIP
|
| 9
|
Nov 8
|
Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
|
| 10
|
Nov 15
|
Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
|
| 11
|
Nov 22
|
Monday -  and  , Thursday - Tietze's theorem
|
| 12
|
Nov 29
|
Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
|
| 13
|
Dec 6
|
Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
|
| R
|
Dec 13
|
See December 2010 Schedule
|
| F
|
Dec 20
|
Final exam, Monday December 20, 2PM-5PM, at BR200
|
| Register of Good Deeds
|
Add your name / see who's in!
|
See Hilbert's 13th
|
|
In Preparation
The information below is preliminary and cannot be trusted! (v)
Reading
Read sections 
in Munkres' textbook (Topology, 2nd edition). Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread sections 
, just to get a feel for the future.
Doing
Solve and submit the following problems from Munkres' book:
- Problem 1 on page 199.
- Problem 1 on page 205.
- Problems 1, 4, 5, 8, 9 on pages 212-213.
Due date
This assignment is due at the end of class on Thursday, November 25, 2010.
|
|
Dror's notes above / Student's notes below
|
|
