| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Linear Operators | MAT521 | Elective | Master's degree | 1 | Spring | 8 |
Name of Lecturer(s)
Prof. Dr. Abdülkadir AYGÜNOĞLU
Prof. Dr. Ali DEMİR
Associate Prof. Dr. Arzu AKGÜL
Associate Prof. Dr. Arzu COŞKUN
Associate Prof. Dr. Hülya KODAL SEVİNDİR
Learning Outcomes of the Course Unit
1) Students will gain necessary background in Linear operators for further studies
2) One can know the notions of Banach and Hilbert spaces and theorems related to it.
3) One can classify bounded linear operators and express the properties of them.
4) One can know the notion of dual space and theorems related to it.
5) One can classify operators and express the properties of them.
6) One can classify projections and express the properties of them.
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 | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
no recommended course
Course Contents
Banach spaces and Hilbert spaces, Bounded linear operators, dual spaces, adjoint operators ,Operators on Banach Spaces, Self-adjoint operators, projections, functions of an operator.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required