Spring
2012 PHYS 503 METHODS OF MATHEMATICAL PHYSICS I
Click
here! for a .pdf file of the course information
Instructor: Seckin Kürkcüoglu, kseckin@metu.edu.tr
Meeting Times:
Monday:
13:40-16:30 P421
Recitations:
TBA
Textbooks:
F.W.Byron & R.W.Fuller, Mathematics of Classical and Quantum Physics, Dover 1992.
G.B.Arfken & H.J.Weber, Mathematical Methods for Physicists, Academic Press, 1995.
Supplementary References:
J.W.Brown & R.V.Churchill, Complex Variables and Applications,
McGraw-Hill, 2009.
F.
B. Hildebrand, Advanced Calculus
for Applications, 2nd Edition, Prentice-Hall 1976.
Grading:
There will be two midterm examinations and a final. Each
midterm will contribute 30% and the final exam will contribute 40% toward
your final grade.
Exam Dates and places:
1st Midterm Exam: 30 March 2013, Saturday
2ndMidterm Exam: 18 May 2013,
Saturday
Final Exam: To
be announced later.
Course
Content:
Functions of a complex variable,
Analytic functions
Cauchy’s integral theorem
Taylor and Laurent series
Singularities of analytic functions & the residue theorem
Methods of finding residues
Evaluation of definite integrals using residue theorem
Residues at infinity
Integral Involving Branch Points,
Conformal Mapping
Sturm-Liouville Theory and Orthogonal Functions
Bessel’s Functions
Legendre Polynomials & Spherical Harmonics
Laguerre, Hermite, Chebyshev Polynomials,
Gamma and related functions
Hypergeometric and related functions
To
see your midterm grades and download a copy of your self-study
assignments visit Metu-Online.