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| MAT4020 | Dynamical Systems | 4+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of MATHEMATICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 4 hours of lectures per week | | Lecturer | Prof. Dr. Selçuk Han AYDIN | | Co-Lecturer | None | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Learn the basic information about the dynamical systems |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Gain the basic informations about the dynamical systems | 1,7 | 1,3, | | LO - 2 : | Gain the basic informations about the dynamics of the differential equations | 1,7 | 1,3 | | 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), LO : Learning Outcome | | |
| Basic information about the dynamical systems |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction | | | Week 2 | Basic mathematical models | | | Week 3 | Direction fields | | | Week 4 | 1-dimensional dynamical systems | | | Week 5 | Stability of the 1-dimensional systems | | | Week 6 | Graphical methods | | | Week 7 | Potential method | | | Week 8 | Bifurcations | | | Week 9 | Mid-Term | | | Week 10 | Types of bifurcations | | | Week 11 | Flow around circle | | | Week 12 | Linear system of equations | | | Week 13 | Dynamics of system of linear equations | | | Week 14 | Non-linear system of equations | | | Week 15 | Bifurcation for the systems | | | Week 16 | Final | | | |
| 1 | Non-linear Dynamics and Chaos, Steven H. Strogatz | | | |
| 1 | Dynamical Systems with Applications using MATLAB, Stephen Lynch | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 10/04/2025 | 2 | 50 | | End-of-term exam | 16 | 07/06/2025 | 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 | 4 | 14 | 56 | | Sınıf dışı çalışma | 3 | 16 | 48 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 128 |
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