Course Title | Code | Semester | L+U Hour | Credits | ECTS |
---|---|---|---|---|---|
Structures on Manifolds I | MAT536 | 3 + 0 | 3.0 | 8.0 |
Prerequisites | None |
Language of Instruction | Turkish |
Course Level | Graduate |
Course Type | |
Mode of delivery | Lecturing |
Course Coordinator |
Assoc. Prof. Dr. İzzettin DEMİR |
Instructor(s) | |
Assistants | |
Goals | Teaching high level of mathematics to graduate degree students. |
Course Content | Riemannian Manifolds,Submanifolds of Riemannian Manifolds,Complex Manifolds,Submanifolds of Kahler Manifolds |
Learning Outcomes |
Week | Topics | Learning Methods |
---|---|---|
1. Week | Riemannian Manifolds | |
2. Week | Riemannian Manifolds | |
3. Week | Riemannian Manifolds | |
4. Week | Riemannian Manifolds | |
5. Week | Submanifolds of Riemannian Manifolds | |
6. Week | Submanifolds of Riemannian Manifolds | |
7. Week | Submanifolds of Riemannian Manifolds | |
8. Week | Submanifolds of Riemannian Manifolds | |
9. Week | Complex manifolds | |
10. Week | Complex Manifolds | |
11. Week | Complex Manifolds | |
12. Week | Submanifolds of Kahler Manifolds | |
13. Week | Submanifolds of Kahler Manifolds | |
14. Week | Submanifolds of Kahler Manifolds |
K. Yano, M. Kon; Structures on manifolds, Series in pure math.V3, 1984. |
Program Requirements | Contribution Level | Measurement Method |
---|---|---|
PY1 | 5 | 60 |
PY2 | 4 | 60 |
PY3 | 5 | 60 |
PY4 | 2 | 60 |
PY5 | 4 | 60 |
PY6 | 3 | 60 |
PY7 | 3 | 60 |
PY8 | 3 | 60 |
PY9 | 4 | 60 |
PY10 | 4 | 60 |
0 | 1 | 2 | 3 | 4 | 5 | |
---|---|---|---|---|---|---|
Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
Event | Quantity | Duration (Hour) | Total Workload (Hour) |
---|---|---|---|
Course Hours | 14 | 3 | 42 |
Research | 14 | 2 | 28 |
Other Activities | 14 | 1 | 14 |
Midterm 1 | 1 | 2 | 2 |
Midterm 2 | 1 | 2 | 2 |
Homework 1 | 14 | 3 | 42 |
Homework 2 | 14 | 2 | 28 |
Quiz 1 | 1 | 3 | 3 |
Quiz 2 | 1 | 3 | 3 |
Final | 1 | 2 | 2 |
Practice | 6 | 2 | 12 |
Classroom Activities | 14 | 1 | 14 |
Total Workload | 192 | ||
ECTS Credit of the Course | 8.0 |