Ron Freiwald, Cupples
I, room 201
Tuesday 9:30-10:30, Thursday 10:30-11:30, Friday 9:30-10:30
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
will be 6-8 homework sets
during the semester. Homework assignments will be posted on this web page. Usually, an assignment will be due
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
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.
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
as "Exam 4." Your accumulated score on the
problems will count as your homework score.
There will be the equivalent of four
exams in the course:
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,
like to decide that within about a week so that some
students aren't upset by making a change closer to the exam
"in-class" exam and the final
will be "short-answer" -- such things as definitions, statements of theorems, providing
examples or counterexamples,
and true/false questions.
“take-home" exam will consist
of more substantial questions,
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
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
of test scores) at my discretion. I will not have a
for converting numeric scores into letter grades until the end of the
During all examinations, both "in class" and "take-home," 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.
the take-home exam, you may consult class notes, the texbook, or any
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.
should avoid trying to "find" solutions to problems
elsewhere: that just undercuts your learning.
Any solutions taken from other sources without good documentation will
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
what is appropriate, please ask me.
Students are encouraged to discuss
homework assignments with each
you should share questions and ideas. It is a powerful way to learn the
concepts. Each student, however, must write up the homework
in his/her own words and notation. One good way to
too much" from discussions with others is to talk together but not take
written notes from the conversation. Suspicious
between solution sets may be noted by the grader and may result in a
of 0 for the homework.
web pages may be
give some interesting historical sidelights on
MacTutor History of Mathematics Archive
Beginnings of Set Theory
Axiom of Choice
"Kuratowski 14 Problem"
will give you some background information about
course. I e-mailed this link to everyone enrolled a few
before the course began. Read the document now if you didn't
receive it earlier.
TuTh 1-2:30 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
Textbook & References
textbook for the course is one that I have written. It is
photocopied, spiral bound and is available
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:
2. Willard, Stephen
General Topology QA611
3. Kaplansky, Irving
Set Theory and Metric Spaces QA248 K36
and Willard are standard General Topology texts; Kaplansky is
nicely written little book; it is a "softer" introduction to set theory
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
An Introduction to the Point-Set and Algebraic Areas
to Topology and Modern Analysis QA611
these has different emphases
and none follows the material as I'll present it.