| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Discrete Mathematical Structures | BM217 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Dr. Öğr. Üyesi Sultan ZAVRAK, Dr. Öğr. Üyesi Tunahan TİMUÇİN |
| Instructor(s) | Dr. Öğr. Üyesi Tunahan TİMUÇİN (Güz) |
| Goals | To learn how to prove simple logical claims. To learn how to show the correctness of simple algorithms. To learn how to construct correct logical claims and algorithms. To learn how to work with the discrete structures such as graphs, trees, sets. |
| Course Content | Logic and Proofs, Sets, Functions, Matrices, Sequences, Sums, Algorithms, Number Theory, Graphs, Graph Algorithms, Trees, Minimum Spanning Trees, Induction, Relations |
| # | Öğrenme Kazanımı |
| 1 | Students will be able to prove simpe logical claims. |
| 2 | Students will be able to show the correctness of simple algorithms. |
| 3 | Students will be able to construct correct logical claims and algorithms. |
| 4 | Students will be able to work with the discrete structures such as graphs, trees, sets. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Logic and Proofs | |
| 2. Week | Logic and Proofs | |
| 3. Week | Logic and Proofs | |
| 4. Week | Sets | |
| 5. Week | Functions, Matrices, Sequences, Summations | |
| 6. Week | Algorithms | |
| 7. Week | Algorithms | |
| 8. Week | Number Theory | |
| 9. Week | Graphs | |
| 10. Week | Graph Algorithms | |
| 11. Week | Trees | |
| 12. Week | Minimum Spanning Trees | |
| 13. Week | Mathematical Induction | |
| 14. Week | Relations |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 2 | Ability to identify, define, formulate and solve complex engineering problems; for this purpose, the ability to select and apply appropriate analysis and modeling methods | ✔ | |||||
| 3 | Knowledge and awareness about the management, control, development and security/reliability of Information Technologies | ✔ | |||||
| 4 | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; for this purpose, the ability to apply modern design methods | ✔ | |||||
| 5 | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics | ✔ | |||||
| 7 | Ability to work effectively in disciplinary and multi-disciplinary teams; individual study skills | ✔ | |||||
| 8 | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; Ability to use information technologies effectively | ✔ | |||||
| 9 | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions | ✔ | |||||
| 10 | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 3 | 3 | 3 | 3 |
| PY2 | 4 | 4 | 4 | 4 |
| PY3 | 3 | 3 | 3 | 3 |
| PY4 | 3 | 3 | 3 | 3 |
| PY5 | 4 | 4 | 4 | 4 |
| PY6 | 4 | 4 | 4 | 4 |
| PY7 | 3 | 3 | 3 | 3 |
| PY8 | 3 | 3 | 3 | 3 |
| PY9 | 3 | 3 | 3 | 3 |
| PY10 | 4 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Dr. Öğr. Üyesi Tunahan TİMUÇİN | N.Ö | Vize | 40.00 |
| Dr. Öğr. Üyesi Tunahan TİMUÇİN | N.Ö | Final | 60.00 |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 1 | 21 | 21 | |
| Homework 2 | 1 | 21 | 21 | |
| Final | 1 | 2 | 2 | |
| Practice | 1 | 10 | 10 | |
| Classroom Activities | 1 | 30 | 30 | |
| Total Workload | 128 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
