|
PHYS 5110 - Mathematical Methods in Physics
|
Course last offered
|
:
|
Fall 2023/24
|
|
Instructor(s)
|
:
|
Jensen Tsan Hang LI |
|
No. of credits
|
:
|
4 |
Teaching Pattern
Content
- Review of vector analysis
- Complex variable theory, Cauchy-Rieman conditions, complex Taylor and Laurent series, Cauchy integral formula and residue techniques, conformal mapping
- Fourier series
- Fourier and Laplace transforms
- Ordinary differential equations, Bessel functions
- Partial differential equations, wave and diffusion equations, Laplace, Helmholtz and Poisson's equations, transform techniques, Green's functions
- Integral equations, Fredholm equations, kernals
- Rieman sheets, method of steepest descent
- Tensors, contravariant and covariant representations
- Group theory, matrix representations
| 
