Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA641 | NON-LINEAR DIFFERENTIAL EQUATIONS I | Compulsory | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
• to learn the basic concepts of non-linear differential equations is to be ready to Scientific studies. |
Name of Lecturer(s) |
Assist. Prof.Dr.Mehmet KORKMAZ |
Learning Outcomes |
1 | To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments. | 2 | | 3 | | 4 | | 5 | |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
• Existence theory for boundary value problems
• Lagestrom model
• The resulting equation in electromagnetic theory
• Plazma boundary value problems in plasma physics
• Phase space analysis of autonomous systems
• Quadratic systems
• Boundary value problems for nonlinear propagation equation
• The collapse of a global space in a perfect gas
• Non-linear traveling waves in an isothermal atmosphere
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Weekly Detailed Course Contents |
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1 | Existence theory for boundary value problems | | | 2 | Lagestrom model | | | 3 | The resulting equation in electromagnetic theory | | | 4 | Plazma boundary value problems in plasma physics | | | 5 | Phase space analysis of autonomous systems | | | 6 | Quadratic systems | | | 7 | Quadratic systems | | | 8 | Midterm exam | | | 9 | Boundary value problems for nonlinear propagation equation | | | 10 | Boundary value problems for nonlinear propagation equation | | | 11 | The collapse of a global space in a perfect gas | | | 12 | Non-linear traveling waves in an isothermal atmosphere | | | 13 | Orbits, Critical points | | | 14 | The orbits and critical points of two-dimensional systems | | | 15 | The orbits and critical points of two-dimensional systems | | | 16 | Final exam | | |
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Recommended or Required Reading |
Davies, T. V. and James, E. M. (1966), ‘’Nonlinear Differential Equation’’, addison-Wesley Reading Mass, New York.
Aggarwal, J. K. (1972), ‘’Nonlinear Systems’’, Van Nostrand Reinhold Company, New York. |
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 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 2 | 28 |
Problem Solving | 5 | 4 | 20 |
Self Study | 16 | 2 | 32 |
Individual Study for Homework Problems | 5 | 4 | 20 |
Individual Study for Mid term Examination | 8 | 4 | 32 |
Individual Study for Final Examination | 8 | 4 | 32 |
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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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