Mathematical Physics I
PHY 615 (Section P), Fall Semester, August 25 -
December 2, 2011
Dr. Thomas Curtright
In this class we will study some techniques from
pure and applied mathematics which I have found to be useful
in theoretical physics.
According to the course catalog, in PHY615 we should cover: Special
Green functions, Calculus of variations. And in
PHY616: Vector spaces, Operators, Numerical analysis,
Probability and Statistics. I plan to pick and choose
various topics from all of these areas as the semester progresses,
but not necessarily in the order given.
12:15, Tuesday and Thursday, 203 Knight Physics Bldg.
Discussions or Make-ups:
To be scheduled,
as announced in class.
Office and Hours:
325 Knight Physics Bldg., after
lecture or by appointment (phone: 284 - 2324 ext
4; email: firstname.lastname@example.org).
Assignments and Homework Problems:
Graded homework will be due as
announced in lecture. Usually you will have about
a week to work on the problems.
To be scheduled.
Thursday, 8 December, 11:00 -
1:30 pm, in the physics library.
Your grade will be based with equal weight on each
- the complete set of graded problems,
- the midterm exam,
- and the final exam.
You may have
already purchased this text for use in PHY515 last year.
Methods for Physics and Engineering: A Comprehensive Guide,
3rd Edition [Paperback]
F. Riley, M.
P. Hobson, S.
Professor Nearing's online
textbook for PHY315, also available in hardcopy, Mathematical
Tools for Physics, Dover, 2010.
for the Physical Sciences and generatingfunctionology by Herbert Wilf.
(4) A=B by Marko
Petkovsek, Herbert 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
(5) Linear Mathematics in Infinite
Dimensions, by U. H. Gerlach, 2nd Beta Edition,
2017. Signals, boundary value problems, and special
Methods in Biology, Leah Edelstein-Keshet, SIAM, 2005.
Functions, M. Abramowitz and I. Stegun, National
Bureau of Standards, AMS 55, 1964.
in C / Fortran / Pascal. The Art of Scientific Computing, W. Press, S.
Teukolsky, W. Vetterling, and B. Flannery, Second Edition,
Cambridge University Press, 1992.
Useful software internet sites:
(2) Mathematica (free 15
version! also see the free information on the MathWorld and Functions pages)
(3) Scientific WorkPlace (free 30