| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT42820121310 | MATHEMATİCAL MODELLİNG-II | Elective | 4 | 8 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| 1. To establish and solve mathematical models of real-life problems
2. To develop techniques for analysing ordinary and partial differential equations.
3.To obtain solutions to various problems in medicine and biology using these techniques and to interpret the biological meaning of these solutions. |
| Name of Lecturer(s) |
| Doç.Dr. Aytül Gökçe |
| Learning Outcomes |
| 1 | Students will develop the right thinking and the ability to comment and students will gain basic knowledge about modelling | | 2 | Students will gain skills and knowledge to engage in interdisciplinary studies to work with multiple departments |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| Basic ordinary differential equation information |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| In this course , various problems particularly population dynamics, epidemic diseases, chemical reactions, biological pattern formation through ordinary and partial differential equation techniques and modeling and simulating these problems as well as analysing of their solutions will be taught. |
| Weekly Detailed Course Contents |
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| 1 | Introduction to mathematical modeling | | | | 2 | SIR epidemik modeli | | | | 3 | Examining the virus transmission coefficient in infectious diseases | | | | 4 | Workshop (model simulastions) | | | | 5 | The topic of non-dimensionalization in disease models | | | | 6 | Mathematical investigation of infection control in diseases | | | | 7 | Vaccination effect in modeling infectious diseases | | | | 8 | Midterm exam | | | | 9 | Modeling and Biochemical reaction kinetics | | | | 10 | Michaelis menten kinetics, Hill Function | | | | 11 | Mathematical models of one-sided and double-sided reactions | | | | 12 | Workshop (model simulations) | | | | 13 | Mathematical modeling with delayed differential equations | | | | 14 | Stability analysis in delayed differential equations | | | | 15 | Workshop (model simulations) | | | | 16 | Final exam | | |
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| Recommended or Required Reading |
| 1. D.S. Jones and B.D. Sleeman. Differential Equations and Mathematical Biology. George Allen and Unwin (1983)
2. Allen, L.J.S., An Introduction to Mathematical Biology, Pearson, 2007.
3. L. Edelstein-Keshet. Mathematical models in biology. McGraw-Hill, New York (1988). |
| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
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| Workload Calculation |
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| Midterm Examination | 1 | 6 | 6 |
| Final Examination | 1 | 6 | 6 |
| Quiz | 3 | 12 | 36 |
| Individual Study for Homework Problems | 3 | 12 | 36 |
| Individual Study for Mid term Examination | 3 | 12 | 36 |
| Individual Study for Final Examination | 3 | 12 | 36 |
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| Contribution of Learning Outcomes to Programme Outcomes |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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