| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Riemannian Geometry of Contact and Symplectic Manifolds I | MAT626 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assist. Prof. Dr. Pınar ZENGİN ALP |
| Instructors | |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students. |
| Course Content | Symplectic Manifolds, Contact Manifolds,Integral Submanifolds,Sasakian Manifolds,Co-symplectic Manifolds,Curves |
| Learning Outcomes |
- Öğrenciler matematikte teorik kavramları öğrenecekler. - Öğrenciler matematikte teorik kavramları öğrenecekler. - Students will learn how to read academical journals. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Symplectic Manifolds | |
| 2. Week | Symplectic Manifolds | |
| 3. Week | Contact Manifolds | |
| 4. Week | Contact Manifolds | |
| 5. Week | Contact Manifolds | |
| 6. Week | Integral Submanifolds | |
| 7. Week | Integral Submanifolds | |
| 8. Week | midterm | |
| 9. Week | Sasakian Manifolds | |
| 10. Week | Sasakian Manifolds | |
| 11. Week | Cosymplectic Manifoldları | |
| 12. Week | Cosymplectic Manifoldları | |
| 13. Week | Curves | |
| 14. Week | Curves |
| David, E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Berlin, 2001. |
| David, E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Berlin, 2001. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 40 |
| PY2 | 4 | 0 | 0 | 60 |
| PY3 | 3 | 0 | 0 | 60 |
| PY4 | 4 | 0 | 0 | 60 |
| PY5 | 4 | 0 | 0 | 40 |
| PY6 | 4 | 0 | 0 | 40 |
| PY7 | 4 | 0 | 0 | 40 |
| PY9 | 4 | 0 | 0 | 60 |
| PY10 | 4 | 0 | 0 | 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 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Quiz 1 | 4 | 1 | 4 |
| Quiz 2 | 4 | 1 | 4 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 204 | ||
| ECTS Credit of the Course | 8.0 | ||
