Rapor Tarihi: 13.04.2026 03:10
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Abstract Algebra | MAE308 | Turkish | Compulsory | 6. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ (Bahar) |
| Goals | To provide teaching and technique, relevant resources and training, assessment and materials necessary for teaching algebra. |
| Course Content | Algebraic thinking, the importance of algebraic thinking in mathematics teaching; pre-algebraic period; arithmetic-algebra relationship; generalized arithmetic and functional thinking; basic algebra concepts; different representations in algebra teaching; teaching variable, algebraic expression, equality and equation, linear equations, identities and inequalities (organizing the course content, using appropriate teaching materials and strategies, etc.); student knowledge about these subjects (understanding and interpreting student ideas about concepts, knowing students' difficulties, mistakes, misconceptions and their reasons); the relationship of these subjects with daily life and other lessons. |
| # | Öğrenme Kazanımı |
| 1 | Evaluates the transition from arithmetic to algebra and algebraic thinking. |
| 2 | Uses different notations in teaching algebra. |
| 3 | Identifies misconceptions in algebra teaching. |
| 4 | Evaluate the relationships between basic concepts in algebraic thinking. |
| 5 | Students gain new mathematical knowledge through problem solving. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Algebra and Mathematical Thinking | Preparation, After Class Study, Research, Other Activities, Interview |
| 2. Week | Sets, Operations, Relations | Preparation, After Class Study, Research, Other Activities, Presentation (Preparation) |
| 3. Week | Equivalence Classes and Partitioning | Preparation, After Class Study, Research, Other Activities, Interview, Presentation (Preparation) |
| 4. Week | Integers and Divisibility | Preparation, After Class Study, Research, Interview, Presentation (Preparation) |
| 5. Week | Congruence and Modular Arithmetic | Other Activities, Interview, Presentation (Preparation) |
| 6. Week | Linear Congruences and the Chinese Remainder Theorem | Preparation, After Class Study, Other Activities, Presentation (Preparation) |
| 7. Week | Complex Numbers | Research, Other Activities, Interview |
| 8. Week | Introduction to Groups | |
| 9. Week | Subgroups and Cyclic Groups | Preparation, After Class Study, Research, Interview, Presentation (Preparation) |
| 10. Week | Group Homomorphisms and Isomorphisms | Preparation, After Class Study, Research, Interview |
| 11. Week | Normal Subgroups and Factor Groups | Research, Interview |
| 12. Week | Introduction to Rings | Research, Interview |
| 13. Week | Fields | Research, Interview |
| 14. Week | Problem solving | Research, Interview |
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 0 |
| PY3 | 0 | 0 | 0 | 5 | 3 |
| PY17 | 3 | 0 | 0 | 5 | 4 |
| PY24 | 0 | 0 | 0 | 0 | 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 | 13 | 3 | 39 |
|
Ders Dışı |
Preparation, After Class Study | 13 | 3 | 39 |
| Research | 1 | 3 | 3 | |
| Other Activities | 1 | 6 | 6 | |
|
Sınavlar |
Homework | 1 | 10.5 | 10.5 |
| Final | 1 | 10 | 10 | |
| Total Workload | 107.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
