| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Inverse Problems | MAT620 | Elective | Doctorate degree | 1 | Spring | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Mine Aylin BAYRAK
Associate Prof. Dr. Arzu COŞKUN
Learning Outcomes of the Course Unit
1) Define inverse problems
2) Define the boundary value problems
3) Define a well-posed problems for partial differential equations
4) Define Ill-posed problems
5) Apply the regularization technique
6) Define the ordinary differential equations, boundary-value problems for elliptic equations and parabolic equations
7) Apply the methods of solution for ill-posed problems
8) Apply various numerical methods
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 8 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Candidates are provided with in-depth knowledge on the definition of inverse problems, boundary value problems, for partial differential equations well-posed problems, Ill-posed problems, regularization, the boundary-value problems for ordinary differential equations, boundary-value problems for elliptic equations, boundary-value problems for parabolic equations, solving methods for the ill-posed problems, various numerical methods.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Presentation/Seminar to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required