| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Partial Differential Equation Models | MAT514 | 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. İlhame AMİRALİ |
| Instructors |
FUAT USTA |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Obtain conservation equation, Fluids in two and three dimension, Random movements and diffusion equation, Population models based on diffusion Random movements of microorganizms Density-dependent propagation Simple solutions , the time-independent solutions (steady-state), Nonuniform time- independent solutions Homogen time - independent solutions Higher dimensional mathematical models |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Obtain conservation equation | |
| 2. Week | Two and three dimensional fluid | |
| 3. Week | Random movements and diffusion equation | |
| 4. Week | Population models based on diffusion | |
| 5. Week | Random movements of microorganizms | |
| 6. Week | Density-dependent propagation | |
| 7. Week | Simple solutions , the time-independent solutions (steady-state) | |
| 8. Week | Midterm | |
| 9. Week | Nonuniform time- independent solutions | |
| 10. Week | Homogen time - independent solutions | |
| 11. Week | Higher dimensional mathematical models | |
| 12. Week | Higher dimensional mathematical models | |
| 13. Week | Higher dimensional mathematical models | |
| 14. Week | Higher dimensional mathematical models |
| 1.Mathematical Models in Biology, Leah Edelstein – Keshet, The Random House / Birkhauser Mathematics series. |
| 2.Mathematical Biology, J. D. Murray, Biomathematics Text, Springer (1993). |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 40 |
| PY2 | 5 | 5 | 5 | 40 |
| PY3 | 5 | 5 | 5 | 60 |
| PY4 | 5 | 5 | 5 | 60 |
| PY5 | 4 | 4 | 4 | 40 |
| PY6 | 4 | 4 | 4 | 60 |
| PY7 | 5 | 5 | 5 | 60 |
| PY8 | 4 | 4 | 4 | 60 |
| PY9 | 4 | 4 | 4 | 60 |
| PY10 | 4 | 4 | 4 | 60 |
| 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) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
