| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Elementary Number Theory | MAE307 | Turkish | Compulsory | 5. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) | Prof. Dr. ŞAHİN DANİŞMAN (Güz) |
| Goals | To teach the concept of divisibility, congruences, linear Diophantine equations, arithmetic functions and the basic concepts and results related to them, and to make them aware of the historical development of the concepts. |
| Course Content | Will be able to explain divisibility, prime number, congruence concepts and number theorems. Will be able to interpret divisibility, prime number, congruence concepts and number theorems. |
| # | Öğrenme Kazanımı |
| 1 | Will be able to explain divisibility, prime number, congruence concepts and number theorems. |
| 2 | Will be able to interpret divisibility, prime number, congruence concepts and number theorems. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Divisibility in integers | Interview, Preparation, After Class Study |
| 2. Week | Prime numbers | Preparation, After Class Study, Interview |
| 3. Week | Important functions in number theory | Preparation, After Class Study, Interview |
| 4. Week | Congruences | Interview, Preparation, After Class Study |
| 5. Week | linear congruence | Preparation, After Class Study, Interview |
| 6. Week | Uniqueness of prime factorization for integers | Interview, Preparation, After Class Study |
| 7. Week | Primitive roots and indices | Interview, Preparation, After Class Study |
| 8. Week | Quadratic Residual (second order) | Interview, Preparation, After Class Study |
| 9. Week | Quadratic Residual (second order) | Interview, Preparation, After Class Study |
| 10. Week | Quadratic Residual (second order) | Interview, Preparation, After Class Study |
| 11. Week | Encryption topics and applications in daily life | Preparation, After Class Study, Interview |
| 12. Week | Encryption topics and applications in daily life | Preparation, After Class Study, Interview |
| 13. Week | Continuous fractions | Interview, Preparation, After Class Study |
| 14. Week | Continuous fractions | Preparation, After Class Study, Interview |
| 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. | ✔ | |||||
| 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. | ✔ | |||||
| Program Requirements | DK1 | DK2 |
|---|---|---|
| PY27 | 4 | 4 |
| PY28 | 1 | 1 |
| PY30 | 2 | 2 |
| 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 | 5.47 | 76.58 |
| Total Workload | 76.58 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
