
| Course Code | : MTK505 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's 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.
Basic concepts, bases, subbases and local bases, closure, interior, boundary, product spaces, quotient spaces, continuity, separation axioms, sequences and nets, metric spaces, complete metric spaces, compactness, connectedness.
| Prof. Adnan MELEKOĞLU |
| 1. | Ability to determine the topology by means of a base or subbase |
| 2. | Ability to define continuous and discontinuous functions between topological spaces |
| 3. | Ability to determine the points that a sequence or a net converges in a topological space |
| 4. | Ability to determine the topology generated by a metric |
| 5. | Ability to explain the concepts of compactness and connectedness and their relations with other topological concepts |
| 1. | M. Koçak, Introduction to General Topology and Solved Problems, Nisan Publ., 2020. |
| 2. | J. R. Munkres, Topology, Prentice Hall, 2000. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Individual Work | 14 | 0 | 8 | 112 |
| Midterm Examination | 1 | 18 | 2 | 20 |
| Final Examination | 1 | 24 | 2 | 26 |
| 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 | 3 | 1 | 1 | 3 | 2 | 1 | |||||||||
OÇ-2 | 3 | 1 | 1 | 3 | 2 | 1 | |||||||||
OÇ-3 | 3 | 1 | 1 | 3 | 2 | 1 | |||||||||
OÇ-4 | 3 | 1 | 1 | 3 | 2 | 1 | |||||||||
OÇ-5 | 3 | 1 | 1 | 3 | 2 | 1 | |||||||||