SU LMS

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Course Material

Week 1: The Laplace transform
Week 2: Inverse Laplace transform
Week 3: Application of Laplace transform method to solve ordinary differential equations
Week 4: Application of Laplace transform method to solve partial differential equations
Week 5: Fourier transform
Week 6: More on Fourier transform
Week 7: Fourier Sine and Cosine Transforms
Week 8: Application of Fourier transform method to solve partial differential equations
Week 9: Mid Term Exam
Week 10: Construction of Green's function
Week 11: Modified Green's function, Eigenfunctions and Green's function
Week 12: Expansion for Green's function, Closed form Green's function
Week 13: Variational Methods
Week 14: Euler-Lagrange's equations
Week 15: Integrand involving one, two, three and n variables
Week 16: Special cases of Euler-Lagrange equations, Necessary condition for existence of an extremum of a functional, Constrained maxima and minima
Week 17: Perturbation techniques
Week 18: Final Term Exam

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