
| Course Code | : MTK544 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
This course aims to acquaint students with the fundamental notions of Functional Analysis including normed linear spaces, linear maps, Hilbert spaces, the Hahn Banach theorem, weak topolojies, separable spaces, fixed point theorems
Normed linear spaces, linear maps, inner product spaces, Hilbert spaces, the Hahn Banach theorem, weak topolojies, separable spaces
| 1. | To be able to comprehend Normed spaces |
| 2. | To be able to comprehend Banach spaces |
| 3. | To be able to comprehend İnner product spaces |
| 4. | To be able to comprehend Hilbert spaces |
| 5. | To be able to use mathematical concepts in solving certain types of problems |
| 1. | Elements of Functional Analysis, I. J. Maddox |
| 2. | Introductory Functional Analysis with Applications, Kreyszig |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %20 |
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %50 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 2 | 20 | 3 | 46 |
| Midterm Examination | 1 | 50 | 2 | 52 |
| Final Examination | 1 | 60 | 2 | 62 |
| TOTAL WORKLOAD (hours) | 202 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 5 | 4 | 3 | |||||||||||
OÇ-2 | 4 | 5 | 4 | 3 | |||||||||||
OÇ-3 | 4 | 5 | 4 | 3 | |||||||||||
OÇ-4 | 4 | 5 | 4 | 3 | |||||||||||
OÇ-5 | 4 | 5 | 4 | 3 | |||||||||||