
| Course Code | : MAT320 |
| Course Type | : Area Elective |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 2 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 5 |
The purpose of this course is to introduce students to the topics in the course content.
Basic concepts, subspaces, bounded subsets, open balls, open and closed sets, equivalent metrics, normed spaces, continuity, sequences, complete metric spaces, compactness, connectedness.
| 1. | Ability to determine open, closed, and bounded sets in metric spaces |
| 2. | Ability to determine the topology generated by a metric |
| 3. | Ability to define continuous and discontinuous functions between metric spaces |
| 4. | Ability to form convergent and divergent sequences in a metric space |
| 5. | Ability to form compact subspaces of a metric spaces |
| 1. | M. Koçak, Introduction to General Topology and Solved Problems, Nisan Publ., 2020. |
| 2. | M. O Searcoid, Metric Spaces, Springer, 2007. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Individual Work | 14 | 3 | 0 | 42 |
| Midterm Examination | 1 | 11 | 2 | 13 |
| Final Examination | 1 | 12 | 2 | 14 |
| TOTAL WORKLOAD (hours) | 125 | |||
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 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 3 | 3 | 4 | 4 | ||||||||||||||
OÇ-2 | 3 | 3 | 4 | 4 | ||||||||||||||
OÇ-3 | 3 | 4 | 4 | |||||||||||||||
OÇ-4 | 3 | 4 | 4 | |||||||||||||||
OÇ-5 | ||||||||||||||||||