### Dr. Sarah's Math 4710 Class Highlights Fall 2001 Page

See Main Class Web Page or
WebCT also.

WebCT Test Questions

**Tues Dec 4** Turn in talk plan which Dr. Sarah will grade
and give feedback on while you take WebCt test 5.

**Tues Nov 27** Go through the following:

Abstract Guidelines,

On Talks and Slides -
popular mistakes and guidelines for avoiding them,

Speaker Guidelines,

Final Project Guidelines,

review via WebCT test 4.
**Thur Nov 29** Read each other's abstracts and
give suggestions for improvement. Work on ps 10 revisions (compactness).

**Tues Nov 20** Classification of Surfaces and reading
on using topology in graphics morphing.
**Thur Nov 22** Thanksgiving Break

**Tues Nov 13** Compactness
**Thur Nov 15** Compactness and Heine Borel

**Tues Nov 6** Connectedness
**Thur Nov 8** Path Connectedness and WebCT test

**Tues Oct 30** Kinsey's Topology of Surfaces, review p. 54,
first half of p. 95 in 2.6,
do exercise 3.33 numbers 1-3 on p. 53 of Kinsey, 2.6 p. 90-91,
torus with 2 holes, torus with n-holes.
Definition of group, quotient spaces using a group action,
football, klein bottle, projective space.
Non-Orientable Surfaces
**Homework** PS 6 revs, bibliography for final project, and
PS 8.
**Thur Nov 1** No class - instead, use the time to go to the
library to search for bibliography for the final project.
**Homework** Bibliography and PS 8.

**Tues Oct 23** 2.6 pages 92-94, Kinsey's Topology of Surfaces
p. 51 - 54 except exercise 3.33, and 2.6 p. 99.
**Thur Oct 25 Meet in 209B** Do library and web searches
to find good references for the final project.

**Tues Oct 16** 2.2
**Thur Oct 18** Fall Break

**Tues Oct 9**1.7 is finished
**Thur Oct 11**2.1

**Tues Oct 2**1.7 continued
**Tues Oct 4**1.7 continued

**Tues Sept 25** Selections from 1.6 and 5.1 (convergence,
Hausdorff, T_1 and T_0 spaces). **Homework** Problem Set 4
(see main web page).
**Thur Sept 27** Begin 1.7 **Homework** WebCT test 2 retakes,
and Problem Set 5.

**Tues Sept 18** Most of 1.4.
**Homework**Problem Set 3 DUE Wed, WebCT Test 2 Thursday (but meet
in 105 first) on 1.1-1.3, Problem Set 4 due next Wed.
**Thur Sep 20 - Meet in 105** Finish 1.4, then move
to computer lab to take WebCT test 2. If time remains, review
syllabus, and discuss final projects.
**Homework** Problem Set 4.

**Tues Sept 11** First half of Section 1.3.
**Homework for today, tomorrow and next week** Project Topic DUE today. Test 1 retakes on WebCt due
Wednesday.
For Thursday, read page 15-19,
and start working on p. 24-26 numbers 5, 7 and 21 part a
(the first half of Problem Set 3 due next Wed).
**Thur Sept 13** Finish Section 1.4.
**Homework** Problem Set 3

**Tues Sept 4** Go over PS 2 and Project Topics
**Homework** WebCT quiz 1 retakes and
Project Topic choice
**Thur Sept 6** Convocation and Assessment

**Tues Aug 28** Finish 1.1. Discuss upper half plane metric
versus the usual euclidean subspace metric on it.
**Thur Aug 30 Meet in 105** Section 1.2

**Tues Aug 21** Collect PS 1.
Motivate the importance of continuity.
Given the epsilon-delta definition of
f continuous at x_o, try to prove that f(x)=|x| is continuous at x_o real.
Notice that we need | |x|-|y| | < or = |x-y|, so we prove this.
WebCT activities, presentations on PS 1.
**Homework for Thursday** Study for WebCt quiz (see
main web page for topics
to study), and
write-up Problem 3 from PS 1.
**Thursday August 23** WebCT test 1. Patty section 1.1 continued.
**Homework** Read Section 1.1 in Patty carefully, and work on
Problem Set 2.

**Thur August 16** Intro to the class via puzzles and games which
were left as open problems.
Show the class a tire, mug and mobius band - ask which are the same in
topology (and discuss topology as continuous deformation equivalence).
Put on a shirt and take it off by pulling it inside out over my head.
Discuss the fact that if you do this when any clothing, you get the same
shape back again. Why is this? Took a dollar bill and put two paper
clips on it in such a way so that when the two ends are pulled apart
sharply, the paper clips will spring free from the bill, but will be
linked together. Discussed that it is not just a trick - that this is
an original way of looking at things.
Showed students a puzzle that looks linked, but challenged them
to remove a circle from it without twisting the metal (this was left as e.c.).
Part of a powerpoint
topology presentation from 2 1010 students.
Syllabus and Grading Policies and
topology ad,
Proof-Writing Samples, and
Proof-Writing Checklist.
Review of proof-writing via intro to Minesweeper.
Review of principal of mathematical induction and its proof.
**Homework** Problem Set 1.