| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Topology I | MAT241 | 3. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. İzzettin DEMİR |
| Instructors |
İzzettin DEMİR |
| Assistants | |
| Goals | It is to extend the basic concepts (distance, continuity) given in the course of analysis over any set. |
| Course Content | Topological spaces; Subspaces; Basis, subbasis and local basis in topological spaces; Limit point (accumulation point), interior, exterior, closure, boundary of a set and dense sets, open-closed functions, homeomorphism. |
| Learning Outcomes |
- The learners gain primary informations about the mathematics |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Topological spaces | Course Hours |
| 2. Week | Topological spaces | |
| 3. Week | Topological spaces | |
| 4. Week | Base and subbase | |
| 5. Week | Base and subbase | |
| 6. Week | The concept of neighborhood | |
| 7. Week | The concept of neighborhood | |
| 8. Week | Midterm | |
| 9. Week | Closure and accumulation points | |
| 10. Week | İnterior, exterior and boundary | |
| 11. Week | Subspace | |
| 12. Week | Subspace | |
| 13. Week | Continuity | |
| 14. Week | Open and Closed Functions | Course Hours |
| 1. S. Lipschutz,General Topology, Schaum’s Outline Series, McGraw-Hill Pub. Com |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 4 | 4 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 4 | 4 | 60 |
| PY4 | 4 | 4 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 1 | 1 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 1 | 1 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 2 | 2 | 60 |
| PY14 | 2 | 2 | 60 |
| PY15 | 1 | 1 | 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 | 4 | 56 |
| Midterm 1 | 1 | 3 | 3 |
| Homework 1 | 10 | 2 | 20 |
| Homework 2 | 10 | 2 | 20 |
| Final | 1 | 3 | 3 |
| Practice | 14 | 2 | 28 |
| Total Workload | 130 | ||
| ECTS Credit of the Course | 5.0 | ||
