| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Theory of Numbers | MAT517 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK |
| Instructors |
Arzu ÖZKOÇ ÖZTÜRK |
| Assistants | |
| Goals | To inform students about advanced number theory |
| Course Content | Analytic number theory and its properties |
| Learning Outcomes |
- The student's ability to think and interpret correctly will improve and the student will gain basic knowledge about mathematics. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Higher Order Congruences | |
| 2. Week | n. Residual from Force | |
| 3. Week | Quadratic Rezidü | |
| 4. Week | Legendre Symbol | |
| 5. Week | Gauss Lemmas | |
| 6. Week | Fundamental Theorem for Quadratic Remainder | |
| 7. Week | Quadratic Reciprocity Theorem | |
| 8. Week | midterm | |
| 9. Week | Jacobi Symbol | |
| 10. Week | Primitive Roots | |
| 11. Week | İndex | |
| 12. Week | Force Remainder | |
| 13. Week | Some Nonlinear Diophantine Equations | |
| 14. Week | General Repeat |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 1 | 2 | - |
| PY2 | 2 | 2 | - |
| PY3 | 3 | 0 | - |
| PY4 | 5 | 5 | - |
| PY5 | 0 | 0 | - |
| PY6 | 2 | 2 | - |
| PY7 | 4 | 4 | - |
| PY9 | 2 | 2 | - |
| PY10 | 4 | 4 | - |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 1 | 14 |
| Other Activities | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 2 | 28 |
| Practice End-Of-Term | 14 | 1 | 14 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 200 | ||
| ECTS Credit of the Course | 8.0 | ||
