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Course Information

Course Name
Turkish İleri Diferansiyel Denkl.
English Differential Equations
Course Code
JFM 504 Credit Lecture
Semester 2
3 - - -
Course Language Turkish
Course Coordinator Hüseyin Argun Kocaoğlu
Course Objectives 1. Starting from physical problems, demonstrate the construction of mathematical models described by partial differential equations;
2. Emphasize the importance of making appropriate assumptions and approximations based on the physical nature of the problem;
3. Demonstrate how the solution of partial differential equations are obtained based on initial and/or boundary conditions specific to the problem;
4. Give insight as to how problems without exact (analytical) solutions can be solved by numerical approximations.
Course Description Construction and solution of parabolic (diffusion equation) and hyperbolic (wave equation) type initial-boundary-value problems and elliptic type (Laplace’s and Poisson’s equations) initial-value problems using the methods of separation of variables, integral transforms (Fourier series, Fourier transform, Laplace transform), eigenfunction expansion, Green’s function (impulse-response), change of coordinates and finite differences.
Course Outcomes
Required Facilities
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