Week 1: The Laplace transform
Mir K. L., Problems and Methods in Mathematical Physics & Applied Mathematics, Lahore: Markazi Kutab Khana
Page # 189-197
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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
- Chapters 18
- Department Mathematics
- Teacher
Dr. Javaria Farooq
