Information Package / Course Catalogue
| Course Code | : MTK612 |
| Course Type | : Area Elective |
| Couse Group | : Third Cycle (Doctorate 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 Differentiation, Lebesgue Integral, Stieltjes Integral and its generalizations, Integral Equations and Linear transformations, Hilbert and Banach spaces, Completely contınuous symmetric transformations of Hilbert space, Bounded symmetric, Unitary, and normal transformations of Hilbert space, Unbounded linear transformations of Hilbert space.
Differentiation, Lebesgue Integral, Stieltjes Integral and its generalizations, Integral Equations and Linear transformations, Hilbert and Banach spaces, Completely contınuous symmetric transformations of Hilbert space, Bounded symmetric, Unitary, and normal transformations of Hilbert space, Unbounded linear transformations of Hilbert space.
| 1. | Ability to comprehend differentiation in functional analysis |
| 2. | Ability to comprehend Lebesgue Integral in functional analysis |
| 3. | Ability to understand Hilbert and Banach spaces |
| 4. | Ability to understand some transformations |
| 5. | To be able to gain the skill of interpreting some interrelations among these concepts |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 1 | 0 | 6 | 6 |
| Term Project | 1 | 0 | 6 | 6 |
| Individual Work | 14 | 0 | 5 | 70 |
| Midterm Examination | 1 | 30 | 2 | 32 |
| Final Examination | 1 | 42 | 2 | 44 |
| TOTAL WORKLOAD (hours) | 200 | |||
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 | 3 | 5 | 4 | |||||||||||
OÇ-2 | 4 | 3 | 5 | 4 | |||||||||||
OÇ-3 | 4 | 3 | 5 | 4 | |||||||||||
OÇ-4 | 4 | 3 | 5 | 4 | |||||||||||
OÇ-5 | 4 | 4 | 4 | 4 | |||||||||||