I failed to get into the B.Tech civil engineering course of the NIT Srinagar cause my JEE rank. now I am doing the same from the Poornima university. Can you please share the syllabus of the NIT Srinagar B.Tech civil engineering 1st Year so I can do the additional topics at my end?

The syllabus of M Sc Physics Program offered by NIT (National Institute of Technology), Srinagar is as follows:

PSPHY 101 MATHEMATICAL METHODS FOR PHYSICS

Unit I
Complex Variables:
Complex numbers Equations to curves in the plane in terms of z and z* The Riemann sphere and stereographic projection Analytic functions of z and the Cauchy Riemann conditions The real and imaginary parts of an analytic function The derivative of an analytic function. Power series as analytic functions Convergence of power series Cauchy's integral theorem Singularities, removable singularity, simple pole, multiple pole, essential singularity. Laurent series Singularity at infinity Accumulation point of poles. Meromorphic functions. Cauchy's integral formula Solution of differential equations using generating functions and contour integration Summation of series using contour integration Evaluation of definite integrals using contour integration

Unit II
Gamma function
Definition of the gamma function and its analytic continuation Analytic properties
Connection with gaussian integrals Mittag-Leffler expansion of the gamma function
Logarithmic derivative of the gamma function Infinite product representation for gamma function beta function Reflection and duplication formulas for gamma function

Unit III
Multivalve functions; integral representations
Branch points and branch cuts Algebraic and logarithmic branch points, winding point. Riemann sheets. Contour integrals in the presence of branch points. An integral involving a class of rational functions Contour integral representation for the gamma function. Contour integral representations for the beta function and the Riemann zeta function. Connection with Bernoulli numbers. Zeroes of the zeta function Statement of the Riemann hypothesis. Contour integral representations of the Legendre functions of the first and second kinds. Singularities of functions defined by integrals End-point and pinch singularities, examples Singularities of the Legendre functions. Dispersion relations for the Legendre functions Laplace transforms and Green Function Definition of the Laplace transform. The convolution theorem Laplace transforms of derivatives. The inverse transforms Mellin's formula. The LCR series circuit Laplace transforms of the Bessel and modified Bessel functions of the first kind. Laplace transforms and random processes: the Poisson process. Laplace transforms and random processes: biased random walk on a linear lattice and on a d-dimensional lattice. Green functions. Poisson's equation The fundamental Green function for thelaplacian operator. Solution of Poisson's equation for a spherically symmetric source The Coulomb potential in d dimensions Ultraspherical coordinates. A divergence problem Dimensional regularization Direct derivation using Gauss' Theorem The Coulomb potential in d = 2 dimensions.

Text Books
1. L.A. Pipes and L.R. Harvill, Applied Mathematics for Engineers and Physicists, McGraw-Hill (1970).
2. G. B. Arfken and H.J. Weber, Mathematical Methods for Physicists, 5th edition, Academic Press (2001).
3. E. Kreyszig, Advanced Engineering Mathematics, 8th edition, John Wiley & Sons Inc. (1999)
4. W.W Bell: Special functions for scientists and engineers.
5. J. Mathews and R L Walker: Mathematical Methods of Physics.

Attached Files

Syllabus M Sc Physics Program NIT, Srinagar.pdf (478.1 KB, 111 views)