| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Abstract Mathematics | MAE102 | Turkish | Compulsory | 2. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Dr. Öğr. Üyesi Emine AYTEKİN KAZANÇ |
| Instructor(s) | |
| Goals | It is to develop mathematical thinking by showing logic and proof methods in mathematics and by performing operations on sets, relations and functions. |
| Course Content | Explains symbolic logic and its applications. Explains types of sets. Operates on algebra of sets. Knows the concepts of relation and function and makes applications. Gains mathematical thinking skills. |
| # | Öğrenme Kazanımı |
| 1 | Defines the basic concepts of mathematics (axiom, theorem, proof). |
| 2 | Comprehends mathematical proof methods, understands logic. |
| 3 | Understands the concept of set and knows the operations defined on sets and their properties. |
| 4 | Knows the relation and its types and makes applications about the properties of the relations. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Propositions and Proposition of Algebra | Interview Class Hours |
| 2. Week | Exercises | Interview Class Hours |
| 3. Week | Proof Methods and Techniques | Interview Class Hours |
| 4. Week | Quantifiers | Class Hours Interview |
| 5. Week | Sets and Algebra of Sets | Interview Class Hours |
| 6. Week | Power set, Family of Sets, Fragmentation of Sets | Interview Class Hours |
| 7. Week | Exercises | Class Hours Interview |
| 8. Week | Mid Term Exam | Other Activities |
| 9. Week | The concept of relation and its properties | Class Hours Interview |
| 10. Week | Relation types, equivalence and order relations | Interview Class Hours |
| 12. Week | One-to-One and Onto Functions | Interview Class Hours |
| 13. Week | Composition and Inverse of Functions | Class Hours Interview |
| 14. Week | Final | Interview Class Hours |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 27 | By using mathematical language and terminology correctly and effectively, the student has knowledge about the nature, source, historical development and limits of basic concepts and approaches and interprets their reflections in the field. | ✔ | |||||
| 28 | The student follows the developments in mathematics education in our country and in the world, and takes into account the cognitive and affective student characteristics required by the mathematics curriculum. | ✔ | |||||
| 29 | The student plans, applies and evaluates the lesson by using teaching methods and techniques and instructional materials effectively by determining different appropriate resources according to the characteristics of mathematics subjects and carries the teaching beyond the boundaries of the school. | ✔ | |||||
| 30 | The student knows the context of technological pedagogical content knowledge for mathematics and has knowledge about how to use information and communication technologies in mathematics education and training. | ✔ | |||||
| 31 | The student identifies the facts related to mathematics, mathematics teaching and the teaching profession in and out of school, evaluate them with a critical approach, conceptualize them, examine them with scientific methods and interpret them with current technologies. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY27 | 5 | 5 | 5 | 5 |
| PY28 | 3 | 3 | 3 | 3 |
| PY29 | 3 | 3 | 3 | 3 |
| PY30 | 4 | 4 | 4 | 4 |
| PY31 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Ders Dışı |
Research | 14 | 2 | 28 |
| Interview | 14 | 1 | 14 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
