Estb. 1882

University of the Punjab
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MATH-417 Methods of Mathematical Physics

Fourier Methods  The Fourier transform
 Fourier analysis of generalized functions
 The Laplace transform
 Hankel transforms for the solution of PDE and their application to boundary value
problems Green’s Functions and Transform Methods
 Expansion for Green’s functions
 Transform methods
 Closed form Green’s functions
Perturbation Techniques
 Perturbation methods for algebraic equations
 Perturbation methods for differential equations
Variational Methods
 Euler-Lagrange equations
 Integrand involving one, two, three and n variables
 Special cases of Euler-Lagranges equations
 Necessary conditions for existence of an extremum of a functional
 Constrained maxima and minima
Credit hours/ Marks:- 3

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