Rapor Tarihi: 13.04.2026 03:08
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Abstract Mathematic I | MAT121 | Turkish | Compulsory | 1. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing, problem solving, in-class discussion. |
| Course Coordinator | Dr. Öğr. Üyesi Hasan KARA |
| Instructor(s) | Dr. Öğr. Üyesi Hasan KARA (Güz) |
| Goals | To provide the basic concepts of symbolic logic, to teach mathematical proof techniques, and to introduce fundamental mathematical structures such as sets, relations, and functions in order to develop analytical thinking skills. |
| Course Content | Propositions and logical connectives, truth tables, quantifiers, methods of mathematical proof, sets and set operations, relations, equivalence relations and equivalence classes, order relations, maximal and minimal elements, supremum and infimum concepts, functions, operations on functions, composition and inverse functions. |
| # | Öğrenme Kazanımı |
| 1 | Ability to interpret fundamental concepts of mathematical logic and propositions and adapt them to different problems. |
| 2 | Ability to comprehend mathematical proof techniques and apply appropriate methods in different situations. |
| 3 | Ability to recognize fundamental structures related to sets, relations, and orderings and establish connections between them. |
| 4 | Ability to establish connections between mathematical concepts and adapt acquired knowledge to different mathematical contexts. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Propositions, Proposition operators, truth tables. | Preparation, After Class Study, Research, Interview, Practice |
| 2. Week | Quantifiers | Preparation, After Class Study, Research, Interview, Practice |
| 3. Week | Mathematical proof methods and its aplications | Preparation, After Class Study, Research, Practice |
| 4. Week | Sets and the operations on sets | Preparation, After Class Study, Research, Practice |
| 5. Week | Sets and the operations on sets. | Preparation, After Class Study, Research, Practice |
| 6. Week | Relations | Preparation, After Class Study, Research, Practice |
| 7. Week | Equivalence relations | Preparation, After Class Study, Research, Practice |
| 8. Week | Equivalence classes and partitions. | Preparation, After Class Study, Research, Practice |
| 9. Week | Partial and total order relations | Preparation, After Class Study, Research, Practice |
| 10. Week | Maximal and minimal elements concepts | Preparation, After Class Study, Research, Practice |
| 11. Week | Supremum and infimum concepts | Preparation, After Class Study, Research, Practice |
| 12. Week | Functions and the properties of functions | Preparation, After Class Study, Research, Practice |
| 13. Week | The operations on functions | Preparation, After Class Study, Research, Practice |
| 14. Week | Composition of functions and inverse of functions | Preparation, After Class Study, Research, Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Possesses theoretical and applied knowledge of the fundamental areas of mathematics (Analysis and Function Theory, Algebra and Number Theory, Geometry, Applied Mathematics, Topology and Foundations of Mathematics, and Mathematical Logic). | ✔ | |||||
| 2 | Explains the historical development of mathematical concepts, their relationship with other branches of science, and their application areas. | ✔ | |||||
| 3 | Defines mathematical problems, selects appropriate methods, and solves them using analytical/numerical techniques. | ✔ | |||||
| 4 | Constructs mathematical expressions with logical integrity and reaches conclusions using proof methods. | ✔ | |||||
| 5 | Formulates and interprets real-life problems by performing mathematical modeling. | ✔ | |||||
| 6 | Effectively uses information technologies and mathematical software in data analysis and computation processes. | ✔ | |||||
| 7 | Takes responsibility in individual or team work; plans and executes projects. | ✔ | |||||
| 8 | Follows current developments in their field; improves themselves with a lifelong learning awareness. | ✔ | |||||
| 9 | Expresses mathematical ideas verbally and in writing clearly and in accordance with academic rules. | ✔ | |||||
| 10 | Acts in accordance with professional and academic ethical values; acts with a sense of social responsibility. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 1 | 1 | 1 | 1 |
| PY2 | 1 | 1 | 1 | 1 |
| PY3 | 1 | 1 | 1 | 1 |
| PY4 | 1 | 1 | 1 | 1 |
| PY5 | 2 | 2 | 2 | 2 |
| PY6 | 3 | 3 | 3 | 3 |
| PY7 | 1 | 1 | 1 | 1 |
| PY8 | 4 | 4 | 4 | 4 |
| PY9 | 2 | 2 | 2 | 2 |
| 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 Hasan KARA | Vize | 40.00 | |
| Dr. Öğr. Üyesi Hasan KARA | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Ders Dışı |
Homework | 14 | 1 | 14 |
| Research | 14 | 1 | 14 | |
| Interview | 14 | 1 | 14 | |
| Practice | 14 | 2 | 28 | |
|
Sınavlar |
Midterm | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 130 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
