Methods of Mathematical Physics I
PHY 615 (Section S), Fall Semester, August
26 - December 2, 2004
Dr. Thomas Curtright
In this class we will study some techniques
from pure and applied mathematics which I have found to be useful in
According to the course catalog, in PHY615 we
should cover: Special functions, PDEs,
Green functions, Calculus of variations.
And in PHY616: Different topics from Phy 615, including Vector
Numerical analysis, Statistics.
Well ... we'll see about that.
3:30 - 4:45 pm,
Tuesday and Thursday, 203 Knight Physics Bldg.
Discussions or Make-ups (as announced in class):
3:30 - 4:45 pm, Wednesday, 203 Knight
NB Since Wednesday discussion and make-up sessions conflict with
some of your other scheduled activities, instead, I will just "run
long" on Tuesdays and Thursdays. If this causes you any problems,
please send me email, or talk to me about it.
Office and Hours:
325 Knight Physics Bldg., by appointment
(phone: 284 - 2324 ext 4; email:
These will be due as announced in
about one week in advance.
Thursday, 21 October, 3:30 - 4:45 pm,
the physics library.
Monday, 13 December, 4:00 - 6:30 pm,
the physics library.
Your grade will be based with equal
on each of
- the complete set of graded
- the midterm exam,
- and the final exam.
None selected. But see here.
Other Recommended Material:
Nearing's on-line textbook for
Mathematical Functions, M. Abramowitz and I. Stegun,
National Bureau of Standards, AMS 55, 1964.
Recipes in C / Fortran / Pascal.
The Art of Scientific Computing, W. Press, S. Teukolsky, W.
Vetterling, and B. Flannery, Second Edition, Cambridge University
(5) A=B by Marko
Wilf and Doron
Zeilberger, A K Peters Publishers, 1996. A book about
identities in general, and hypergeometric identities in
particular, with emphasis on computer methods of discovery and
Wilf, Second Edition, Academic Press, 1994. Generating
functions and their uses in discrete mathematics.
(7) Linear Mathematics in Infinite Dimensions,
by U. H. Gerlach, Beta Edition, March 2004. Signals, boundary
value problems, and special functions.
Useful internet software sites:
(see especially the free information on the MathWorld
and Functions pages)
(3) Scientific WorkPlace
(free 30 day trial
MAA (Mathematical Association of
America): See especially Ivars