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2nd December 2015, 10:31 AM
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Join Date: Apr 2013
Re: Presidency University Kolkata Syllabus

The curriculum and syllabus of Physics subject of Master of Science Degree Programme offered by Presidency University as you need it for preparation of exam is as follows:

PHYS0701 Mathematical Physics (50 Lectures)

Complex Analysis
Complex variables, Analytic functions, Cauchy -Riemann conditions, Cauchy's theorem and its corrolaries, Cauchy's integral formula, Derivatives of analytic functions, Singularities, Taylor and Laurent series, Liouville's theorem, Meromorphic functions, analytic continuation, Branch points and cuts, calculus of residues, Evaluations of integrals using residue theorem, Principal value of an integral, Asymptotic series and method of steepest descent, Conformal mappings.

Differential equations
Sturm-Liouville theory; Hermitian operators; Completeness; Simple applications; Inhomogeneous equation: Green’s functions and their evaluation.

Integral transforms
Fourier and Laplace transforms; Bromwich integral (use of partial fractions in calculating inverse Laplace transforms); Transform of derivative and integral of a function; Solution of differential equations using integral transforms.

Group Theory
Preliminaries; Isomorphism and homomorphism, group representation, character of representation, reduction of a representation, Rotation group and its applications, Lie groups and algebras, SU(2) and SU(3) algebras and their applications, Lorentz group.

Vector spaces
Infinite dimensional spaces, examples, Cauchy sequences, completeness, Norms, Inner products, Hilbert spaces, Applications in Physics.

Presidency University Kolkata Syllabus

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