[Mathmajors] 300-400 level course offerings for Winter/Spring 2008

[Brooke Miller]

Dear students,

To help you plan your class schedules for the Winter and Spring quarters, 
here is a list of what the Math Department will be offering at the 300 and 
400 level. In all cases, you should pay attention to the course 
prerequisites listed in the catalog:

http://www.washington.edu/students/crscat/math.html

A couple of special notes: Math 444/445 will be offered W,Sp. Math 466 will not 
be offered in Spring. Also, there will be three topics courses offered in 
Spring, Math 480.


WINTER

307, 308, 309
310, 324, 326
327, 328

381A	MWF	10:30
390A	MWF	2:30
394A	MWF	10:30 
395A	MWF	WILL BE CHANGED TO 8:30
395B	MWF	10:30

403A	MWF	9:30
407A	MWF	9:30
408A	MWF	10:30
412A	MWF	1:30
425A&B	MWF	11:30
428A	MWF	1:30
442A	MWF	12:30
444A	MWF	10:30
462A	MWF	9:30
465A 	MWF	9:30
492A	MWF	12:30

497A	W	4:30 (currently listed as T, will be changed)
Topic: Complex Integers: Investigating and Applying through Problem 
Solving 


SPRING

307, 308, 309
310, 324, 326
327, 328

390A	MWF	2:30
395A	MWF	10:30
396A	MWF	10:30

404A	MWF	9:30
409A	MWF	11:30
426A	MWF	11:30
443A	MWF	12:30
445A	MWF	10:30


Topics courses - all will require an entry code
________________________________________________________________________

**480A	MWF	1:30	Using Computation in Support of Mathematical 
Research

PREREQUISITE: Students must have taken another course that involved 
rigorous mathematical proofs, such as Math 402 or 424, as well as Math 
310, and should have prior exposure to a computer programming language.

DESCRIPTION: This is a course in the practical use of computation as an 
aid to mathematical research. Topics will include programing in Python 
with Sage (http://sagemath.org), creating and querying object-oriented and 
relational databases, setting up and running distributed computations, and 
writing optimized compiled code. We will also discuss the meaning of proof 
in computational mathematics and standards of ethics and verifiability in 
the context of computer-assisted mathematical research.  Students will 
gain a general understanding of some of the capabilities of Maple, Matlab, 
Mathematica, and Magma, and have basic introduction to at least the 
following open source software and libraries: Sage, Singular, Macaulay2, 
GAP, PARI, GMP, NTL, and Maxima.  Students must have taken another course 
that involved rigorous mathematical proofs, and should have prior exposure 
to a computer programming language.

_________________________________________________________________________

**480B	MWF	10:30	Solving Polynomial equations

PREREQUISITE: Math 308

_________________________________________________________________________

**480C MWF 2:30 Symmetry, Lie Groups & the Hydrogen Atom

PREREQUISITES: Math 308 or Math 136;  Math 324 and 327 or 
Math 334 and 335; Physics 121-2-3.  Also recommended are at least one 
400-level math course (402 is particularly relevant) and/or at least one 
200 or 300 level physics course.

DESCRIPTION: The object of this course is to develop the mathematical 
model for the hydrogen atom (and, in a more approximate sense, other 
atoms) that explains the structure of the electron shells and leads to a 
theoretical basis for the periodic table of elements. The emphasis is on 
the exploitation of the rotational symmetry of the problem to guide the 
way to the solution. This goal provides an opportunity to see how algebra 
(mostly linear algebra) and analysis can be used together to analyze a 
situation, and to introduce some more advanced mathematical subjects such 
as Hilbert spaces and Lie groups.

We will work through as much as possible of the book Linearity, Symmetry, 
and Prediction in the Hydrogen Atom} by Stephanie Frank Singer.

________________________________________________________________________

Math 497 - Game Theory

Game theory is a fascinating subject, which sheds light on diverse
topics including economics, voting and even evolutionary biology. To
gain a feeling for the strategies involved, we will try many of the
games in class.  We will also explore some of the beautiful
mathematical tools that give game theory its power.  Among the topics
to be covered are

1. Zero sum games

2. Nash Equilibriums

3. Voting systems such as simple majority vote versus the electoral 
college.

4. Well known games like hex, chess and nim.