Instructor & Office 
Ron Freiwald, Cupples
I, room 201
Tuesday 9:3010:30, Thursday 10:3011:30, Friday 9:3010:30
The office hours may change during the next few weeks, in which
case I'll notify the class. If you're planning to stop by, it may
be best to check with me by email in advance. Because of some
home remodelling, I may need to rearrange office hours on short notice
to work with my contractors. Usually, I'll know my shedule at
least a few days in advance. This inconvenience will end after
about a month.
You're also welcome to ask whether I have some
time whenever the lights are on in my office; or to email me about a
possible special appointment.
NOW THAT THE COURSE IS UNDERWAY, SOME OF THE EARLY COURSE INFORMATION HAS BEEN MOVED DOWN NEAR THE BOTTOM OF THE TABLE.

Homework and Exams

There
will be 68 homework sets
during the semester. Homework assignments will be posted on this web page. Usually, an assignment will be due
in
class at the third
lecture after the assignment is posted online: for example, an
assignment posted on Tuesday is due in class a week from the following
Thursday.
Some of
the homework problems
are fairly routine, but others are more challenging. Usually, you can't put them off until the night before they're due.
Most
homework problems will be
read by a grader. However, on several homework sets during the
semester, I will select a problem (after homework is turned
in) that I will grade myself. Your total accumulated score on
the homework problems that I grade will
count
as "Exam 4." Your accumulated score on the
remaining
homework
problems will count as your homework score. 
Other Materials 

Exams 
There will be the equivalent of four
exams in the course:
The
dates for Exams 1 and 2) could be moved slightly if a substantial
majority of the class
wants the change. But if there's an important reason for a change,
then I'd
like to decide that within about a week so that some
students aren't upset by making a change closer to the exam
date.
The
"inclass" exam and the final
will be "shortanswer"  such things as definitions, statements of theorems, providing
examples or counterexamples,
and true/false questions.
The
“takehome" exam will consist
of more substantial questions,
analogous
to homework problems. On the take home exam, there will usually be some options for you: "answer m of the following n questions

Basis for Grading 
The four exam scores and the
homework
score will each count 20% of your
grade. However, homework
assignments are an essential part of the course. If
you neglect the homework, your course grade may be dramatically lowered
(regardless
of test scores) at my discretion. I will not have a
scale
for converting numeric scores into letter grades until the end of the
semester.

Academic Integrity 
Exams:
During all examinations, both "in class" and "takehome," no
discussion or consultation of any kind with any other person or
sources, whether in person, electronically, or via the internet, is
allowed. The only exception is for questions of clarification that you
can request from me. For
the takehome exam, you may consult class notes, the texbook, or any
other
references for ideas—but any such references must be explicitly
documented in your solutions and solutions must be
completely written up in your own words.
You
should avoid trying to "find" solutions to problems
elsewhere: that just undercuts your learning.
Any solutions taken from other sources without good documentation will
result
in a grade of 0 for the test or assignment and might
be cause for
a referral to the Academic Integrity Committee. If you have
questions about
what is appropriate, please ask me.
Homework:
Students are encouraged to discuss
homework assignments with each
other;
you should share questions and ideas. It is a powerful way to learn the
concepts. Each student, however, must write up the homework
solutions
independently
in his/her own words and notation. One good way to
avoid
"borrowing
too much" from discussions with others is to talk together but not take
away any
written notes from the conversation. Suspicious
similarities
between solution sets may be noted by the grader and may result in a
grade
of 0 for the homework.

History and Biography 
These
web pages may be
give some interesting historical sidelights on
the
material.
The
MacTutor History of Mathematics Archive
George
Cantor
Bertrand
Russell
Kazimierz
Kuratowski
Kurt
Godel
Paul
Cohen
Felix
Hausdorff
Robert
Sorgenfrey
Ernst
Lindelof
AugustinLouis
Cauchy
ReneLouis
Baire
Pavel
Alexandroff
The
Beginnings of Set Theory
The
Axiom of Choice
Topology
Enters Mathematics
The
"Kuratowski 14 Problem"

Background Information
 This
link
will give you some background information about
the
course. I emailed this link to everyone enrolled a few
days
before the course began. Read the document now if you didn't
receive it earlier.  Lectures  TuTh 12:30 in Cupples I, room 215. We
can also schedule occasional additional meetings to talk about
problems if enough
people are interested. Let me know.
For all lectures, you should
be up to date on reading from the textbook, or even a bit
ahead. Make notes to yourself
about anything you don't understand so you can
raise questions.
 Textbook & References  The
textbook for the course is one that I have written. It is
photocopied, spiral bound and is available
at Hi/Tec
Copy Center (at the intersection of Big Bend and
Forest Park Parkway).
The cost is approximately $16.80 + tax. The price
is set by
Hi/Tec to cover the cost of copying and binding + whatever markup they
add for selling the notes (and nothing goes to me).
In addition three fairly standard reference texts are:
1.
Munkres, James
Topology QA611
.M82 2000
2. Willard, Stephen
General Topology QA611
W55 1970
3. Kaplansky, Irving
Set Theory and Metric Spaces QA248 K36
1977
Munkres
and Willard are standard General Topology texts; Kaplansky is
a
nicely written little book; it is a "softer" introduction to set theory
and metric
spaces, with not much material about topological spaces in general.
Munkres and Willard may be of
more interest next semester. These
three books should be on
two day reserve at Olin Library.
A few other books that might
be useful. They are available in Olin Library but not on reserve:
4. Eisenberg, Murray Topology QA611
E53
5.
Kahn, Donald
Topology:
An Introduction to the PointSet and Algebraic Areas
QA611 K32
6. Simmons,
George
Introduction
to Topology and Modern Analysis QA611
S49
Each of
these has different emphases
and perspective,
and none follows the material as I'll present it.

