Information Package / Course Catalogue
| Course Code | : MTK605 |
| 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 |
The purpose of this course is to introduce students to the topics in the course content.
Continuity, convergence, countability and separation axioms, compactness, Tychonoff theorem, compactifications, metrization theorems, connectedness, complete metric spaces and function spaces, uniform spaces, Baire spaces.
| 1. | Ability to determine the points that a sequence or a net converges in a topological space |
| 2. | Ability to explain the concepts of T0, T1, Hausdorff, regular and normal spaces and their relations |
| 3. | Ability to explain the concepts of compactness and connectedness and their relations with other topological concepts |
| 4. | Ability to explain Tychonoff's theorem and its applications |
| 5. | Ability to explain the concepts of Cauchy sequences and complete metric spaces |
| 1. | J. R. Munkres, Topology, Prentice Hall, 2000. |
| 2. | S. Willard, General Topology, Addison-Wesley Publishing Company, 1970 |
| 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 | 10 | 0 | 10 |
| Term Project | 1 | 10 | 0 | 10 |
| Individual Work | 14 | 0 | 6 | 84 |
| Midterm Examination | 1 | 24 | 2 | 26 |
| Final Examination | 1 | 26 | 2 | 28 |
| 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 | 2 | 3 | 2 | 1 | |||||||||||
OÇ-2 | 2 | 3 | 2 | 1 | |||||||||||
OÇ-3 | 2 | 3 | 2 | 1 | |||||||||||
OÇ-4 | 2 | 3 | 2 | 1 | |||||||||||
OÇ-5 | 2 | 3 | 2 | 1 | |||||||||||