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PHYS 5110 - Mathematical Methods in Physics
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Course last offered
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Fall 2023/24
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Instructor(s)
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PANT Nidhi |
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No. of credits
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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
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