Week 16: Necessary conditions for existence of an extremum of a functional
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Course Material
- Week 01: Introduction to Laplace and Fourier Methods
- Week 02: The Laplace transform
- Week 03: Inverse Laplace and applications of Laplace transforms
- Week 04: The Fourier transforms. Properties and applications to differential equations
- Week 05: Functions and Transform Methods
- Week 06: Properties of Fourier transforms
- Week 07: Green’s functions, Expansion and closed form Green’s functions
- Week 08: Results in Laplace, Fourier transforms and Green functions
- Week 09: Mid Term Exam
- Week 10: Perturbation methods for algebraic equations, Perturbation methods for differential equations.
- Week 11: Variational Methods: Euler-Lagrange equations.
- Week 12: Integrand involving one, variable
- Week 13: Integrand involving two, three variables
- Week 14: Integrand involving n variable
- Week 15: Special cases of Euler-Lagrange’s equations
- Week 16: Necessary conditions for existence of an extremum of a functional
- Week 17: Constrained maxima and minima
- Week 18: Final term Exam
- Chapters 18
- Department Mathematics
- Teacher
Dr. Khalid Mahmood Awan
