Kuvempu University M Sc Model Question Papers

Can you provide me the syllabus of M.Sc. (Physics) Program offered by Kuvempu University on which the question paper is based?

[pawan]

The syllabus of M.Sc. (Physics) Program offered by Kuvempu University on which the question paper is based is as follows:

Hardcore PHYH 1.1: Mathematical Physics-I (3 Credits)

Unit-I
Vectors and Tensors: Concept of Gradient, Divergence and Curl; Vector Identities; Orthogonal Curvilinear Co-ordinates. Metric in Orthogonal Curvilinear Co-ordinates; Gradient, Divergence, Curl and Laplacian in orthogonal curvilinear coordinates; Line, surface and volume integrals of vectors; Gausss, Greens and Stokes theorems (without proof) and their applications Definition of Tensors; Tensor Algebra, Examples of tensors in Physics (10 hours)

Unit II
Special Functions: Solution of Helmholtz and Laplace equation using variable separation method; Series solution method for obtaining Bessel, Legendre, Hermite and Laguerre polynomials; Generating functions, Recurrence relations and Orthogonality properties for Bessel, Legendre, Hermite and Laguerre polynomials; Spherical Bessel functions, Associated Legendre polynomials and Spherical harmonics (brief reference only); (12 hours)

Unit III
Integral Transforms: Fourier Transforms; Sine and Cosine Transforms; Inverse Fourier Transforms; Convolution Theorem; Parseval’s theorem; Laplace Transforms; Convolution theorem; Inverse Laplace Transforms; Solution of Differential equations using Laplace Transforms. Sturm-Liovelle Theory; Self-adjoint operators; Dirac Delta Function and its Properties; (8 hours)

Unit IV
Complex Analysis: Analytic Functions: Cauchy-Riemann conditions; Cauchy Integral Theorem; Cauchy Integral Formula; Singularities; Taylor and Laurent expansion; Definite Integrals using Calculus of Residues. (10 hours)

Unit V
Calculus of Variations: Variation of a system with one independent and one dependent variable; Eulers equation, Variation of a system with one independent and many dependent variables; Constraints; Lagrange multipliers, Variation subject to constraints. (8 hours)


Syllabus M.Sc. (Physics) Kuvempu University