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Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
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Selected Parts of Partial Differential Equations | MAT608 | Elective | Doctorate degree | 1 | Spring | 8 |
Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Mine Aylin BAYRAK
1) Explain the advanced selected topics in PDE's
2) Explain the mathematical models in PDE's
3) Apply the solution methods for the models in PDE's
4) Make the applications of divergence theorem
5) Explain the Harnack inequalities
Program Competencies | |||||
1 | 2 | 3 | 4 | ||
Learning Outcomes | |||||
1 | No relation | No relation | No relation | No relation | |
2 | No relation | No relation | No relation | No relation | |
3 | No relation | No relation | No relation | No relation | |
4 | No relation | No relation | No relation | No relation | |
5 | No relation | No relation | No relation | No relation |
Face to Face
None
Not Required
Candidates are provided with in-depth knowledge on basic topics, Cauchy-Kowalewsky theorem, classification of second order PDE's, canonical forms, Hyperbolic PDE's, Cauchy problem, Riemann method, Goursat problem, method of successive approximations, Green formula in R^n, self-adjoint operators, divergence theorem, elliptic PDE's and boundary-value problems, Harnack inequalities.
Contribution of Semester Studies to Course Grade |
60% |
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Contribution of Final Examination to Course Grade |
40% |
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Total | 100% |
Turkish
Not Required