Dop cusat

Can you provide me the Syllabus for M. Sc. Physics offered by DOP CUSAT or Department of Physics, Cochin University of Science and Technology?

[shikha]

The Syllabus for M. Sc. Physics offered by DOP CUSAT or Department of Physics, Cochin University of Science and Technology is as follows:

Core Courses (Semester I)

Phy 2101 Mathematical Physics – I

Module 1
Vector analysis: Vectors and scalars- Direction angles and direction cosines –Change of coordinate system- The linear vector space Vn - Vector differentiation - Space curves – Motion in a plane -Conservative vector field-The divergence of a vector - The operator V2 , Laplacian- The curl of a vector Formulas involving V - Orthogonal curvilinear coordinates Cylindrical coordinatesSpherical coordinates -Vector integration and integral theorems- Helmholtz’s theorem

Module 2
Complex numbers Functions of a complex variable Mapping Branch lines and Riemann surfaces, Calculus of functions of a complex variable , Elementary functions of z, Complex integration, Series representations of analytic functions Integration by the method of residues, Evaluation of real definite integrals .

Module 3
Special functions: Gamma and beta functions - definitions and simple properties. Legendre’s equation, The associated Legendre functions. Hermite’s equation, Laguerre’s equation, The associated Laguerre polynomials,Bessel’s equation, Spherical Bessel functions, Sturm Liouville systems , Linear integral equations, Some methods of solution, The Schmidt-Hilbert method of solution, Use of integral equations, Greens function

Module 4
Heaviside unit step function, one dimensional Dirac delta function, properties and representations, three dimensional Dirac delta function. Fourier series–general properties, applications and properties of Fourier series. Integral transforms, Fourier transforms– inversion theorem, Fourier transform of derivatives, convolution theorem. Elementary Laplace transforms, Laplace transform of derivatives, inverse Laplace transforms, solution of ordinary differential equations with constant coefficients