Dr. Sadun's M367K Topology, Spring 2008

**Lecture Meeting time and place**: Tu-Th
11-12:30, RLM 5.104.
**Web page**: http://www.ma.utexas.edu/users/sadun/S08/367K
**Professor**: Lorenzo
Sadun, RLM 9.114, x1-7121
**Office hour**s: TBA
**Textbook:** Topology, by James Mukres (2nd
edition).
**Syllabus:** Most of chapters 1-5 and parts
of chapter 7.

**Homework**: There will be weekly
problem
sets, listed in http://www.ma.utexas.edu/users/sadun/S08/367K/hwk.html.
These will be collected on Thursdays, beginning January 18.
This is a very important part of the course, since the only way to
really learn to write proofs is to write proofs! (It's also worth
40% of your grade.)

**Exams:** There will be two in-class midterm
exams, on February 7 and April 1, plus a final exam. The first
midterm is expected to cover chapter 1, while the second will cover
chapters 2 and 3. These
exams will all be closed book. However, each student will be allowed to
bring a single letter-sized ``crib sheet'' (2-sided) to each midterm,
and
2 crib sheets to the final. These notes must be __HANDWRITTEN
ORIGINALS
- NO XEROXING ALLOWED__. Calculators are __NOT__ allowed on the
exams (and would be useless anyway).
**Grading:** Each midterm counts 20%. The
final
exam counts 40%. The homework counts 40%. At the end of the
term I will drop your lowest 20%. The final grade distribution is
neither a straight scale nor a fixed curve. It depends on how well the
class does as a whole, but I expect to give more B's than A's, and more
A's than C's.

**Honor system:** There will be a vote
on
the first
day of class on whether to govern the class by the honor
system.
**Disabilities: **The University of Texas at
Austin provides
upon request appropriate academic accommodations for qualified students
with disabilities. For more information, contact the Office of the Dean
of Students at 471-6259, 471-4641 TTY

First Homework assignment (due Thursday, January
18): State a mathematical fact or formula that you find
interesting, and prove it. You can assume all reasonable facts
and theorems that lead up to your result, but you should make clear
what you are assuming. This assignment will be graded and
everybody who makes a credible effort will get 100%. I mostly
want to see the extent to which you can write a clean
proof. [Warning: the most trivial facts are often the
hardest to prove, because there's so little that you can assume.
Don't try proving that 2+2=4, unless you're willing to give precise
definitions of "2", "+", "=" and "4"!]