| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Advanced Topology I | MAT507 | 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 |
| Instructors |
Merve İLKHAN KARA |
| Assistants | |
| Goals | To give knowledge of advanced Topology |
| Course Content | Basic concepts in topolojical spaces, Subspaces, Weak topologies, Strong topologies, Product,spaces, Quotient spaces, Convergence of networks, Convergence of filters, Separation axioms, Compact spaces, Local Compactness Compactification, Paracompactification, Product,spaces of normal spaces |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic concepts in topolojical spaces | |
| 2. Week | Subspaces | |
| 3. Week | Weak topologies | |
| 4. Week | Strong topologies | |
| 5. Week | Product spaces | |
| 6. Week | Quotient spaces | |
| 7. Week | Convergence of networks, convergence of filters | |
| 8. Week | Mid-term Exam | |
| 9. Week | Separation axioms | |
| 10. Week | Compact spaces | |
| 11. Week | Local Compactness | |
| 12. Week | Compactification | |
| 13. Week | Paracompactification | |
| 14. Week | Product,spaces of normal spaces |
| 1.General Topology, Stephen Willard, Addison-Wesley Publishing Company, 1970 |
| 2.Topology, James Dudundji, Wm.C.Brown Publishers, Iowa, 1989. |
| Program Requirements | Contribution Level | Measurement Method |
|---|---|---|
| PY1 | 4 | 60 |
| PY2 | 4 | - |
| PY3 | 4 | 60 |
| PY4 | 4 | 60 |
| PY5 | 4 | 60 |
| PY6 | 5 | 60 |
| PY7 | 5 | 60 |
| PY8 | 5 | 60 |
| PY9 | 5 | 60 |
| PY10 | 5 | 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 | 3 | 42 |
| 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 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 2 | 12 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 200 | ||
| ECTS Credit of the Course | 8.0 | ||
