Physics 3821
Mathematical
Physics III
- Instructor:
Dr. Iakov Afanassiev
- Office:
Physics C-4065
- email:
yakov@physics.mun.ca
- Course
Times: TR 12:00-12:50, F 1.00-1.50 C-3067
- Office
Hours: TR 12:50-1:50
- Web
Page: http://www.physics.mun.ca/ ~ yakov
Tentative Evaluation Scheme:
- Mid-Term
15%
- Assignments
25%
- Project
Paper and Presentation 20%
- Final
40%
Textbook:
- G.
Arfken and H. Weber, Mathematical Methods for Physicists, 5th
Edition, Academic Press, New York (2001)
Reference Books:
- E.
Butkov, Mathematical Physics, Addison-Wesley, Reading, Mass. (1968)
- H.
Cohen, Mathematics for Scientists and Engineers, Prentice-Hall,
Englewood-Cliffs (1992)
- K. Riley, M. Hobson and S. Bence, Mathematical
Methods for Physics and Engineering, Cambridge University Press,
Cambridge (1997)
- L. C. Andrews, Elementary Partial
Differential Equations with Boundary Value Problems, Academic Press.
In this course we will cover some of the important
methods of solving partial differential equations as applied to particular
problems in physics (Laplace eq. for potential flows in hydrodynamics, Poisson
eq. in electromagnetism, wave eq. for oscillation of strings and air in organ
pipes, Schrodinger eq. for hydrogen atom etc.). Some numerical approaches to
solving difficult boundary value problems using widely available software
environments such as Mathlab or Mathematica will be reflected in the course.
Course Outline:
- I Introduction
- II Laplace equation
- III Poisson equation
- IV Wave equation
- V Heat transfer equation