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Re: Department of Physics Kuvempu University
The Department of PG Studies and Research in Physics of Kuvempu University offers M.SC Course. Intake for M.Sc: 37 Seats Eligibility: B.Sc. Degree with Physics and Mathematics as a cognate subjects Duration: 2 Years Semesters: 04 M.SC Physics Syllabus: 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; Gauss’s, Green’s and Stoke’s 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; Euler’s equation, Variation of a system with one independent and many dependent variables; Constraints; Lagrange multipliers, Variation subject to constraints. (8 hours) Contact Details Kuvempu University Jnanasahyadri Shankaraghatta- 577451 Shivamogga Dist. Karnataka, India Phone: EPABX: 08282- 256301 to 256307 FAX : 08282: 256262, 256255 Last edited by shikha; 1st June 2017 at 11:01 AM. |
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