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PHYS 5110 - Mathematical Methods in Physics
 
Course last offered
 :  
Spring 2017/18
Instructor(s)
 :
LI Tsan Hang
No. of credits
 :
 4


Teaching Pattern
  • Duration of course: about 13 weeks
  • Lecture hour(s) per week: 4
 
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

 

DEPARTMENT OF PHYSICS