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| MATL7171 | Mathematical Models in Biology | 3+0+0 | ECTS:7.5 | | Year / Semester | Fall Semester | | Level of Course | Third Cycle | | Status | Elective | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | -- | | Co-Lecturer | | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | The course aims to analyse mathematical models developed for biological processes. |
| Programme Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), PO : Learning Outcome | | |
| Population models, Nicholson-Bailey model, other Host-Parasitoid models, Host-Parasite model, Predator-Prey model, population genetics models, nonlinear structured models, measles model with vaccination, local stability in first-order nonlinear equations, phase line diagrams, local stability in first-order nonlinear systems, phase plane analysis, periodic solutions, bifurcations, delay logistic equation, stability using qualitative matrix stability, global stability and Liapunov functions, persistence and extinction theory, harvesting a single population, competition models, spruce budworm model, metapopulation and patch models, chemostat model, epidemic models, excitable systems, continuous age-structured model, reaction-diffusion equations, equilibrium and traveling wave solutions, critical patch size, spread of genes and traveling waves, pattern formation, integrodifference equations. |
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| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 15/10/2018 | 2 | 30 | | In-term studies (second mid-term exam) | 4
6
10
12 | | | 20 | | End-of-term exam | 16 | 03/01/2019 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 2 | 14 | 28 | | Arasınav | 2 | 1 | 2 | | Ödev | 2 | 4 | 8 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 82 |
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