Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT-23-200 | OrdInary DIfferentIal EquatIons II | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of this course, students to recognize differential equations, determination of the concept of stability. To introduce the application areas of differential equations. |
Name of Lecturer(s) |
Prof. Dr. Elman Hazar |
Learning Outcomes |
1 | At the end of this course, students will be able to produce solutions to the problems they may encounter. |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
It is need to know the basic facts of Mathematical Analysis, Linear Algebra |
Recommended Optional Programme Components |
None
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Course Contents |
Conversion of linear differential equations from the secondary document and characteristics of solutions
Investigation of differential equations with quote series aid
Hypergeometric equation
Bessel equation
Boundary value problems
Linear non-homogenous systems
General questions of system theory for normal and symmetrical forms
Stability conditions for the first approach
Systems of homogeneous linear differential equations
Linear systems with constant coefficients
The stability of solutions of differential equations
Investigation of stability with Lyapunov function
Phase plane
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Weekly Detailed Course Contents |
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1 | Conversion of linear differential equations from the secondary document and characteristics of solutions | | | 2 | Investigation of differential equations with quote series aid | | | 3 | Hypergeometric equation | | | 4 | Bessel equation | | | 5 | Boundary value problems | | | 6 | Linear non-homogenous systems | | | 7 | General questions of system theory for normal and symmetrical forms | | | 8 | Midterm exam | | | 9 | Stability conditions for the first approach | | | 10 | Systems of homogeneous linear differential equations | | | 11 | Linear systems with constant coefficients | | | 12 | The stability of solutions of differential equations | | | 13 | Investigation of stability with Lyapunov function | | | 14 | Phase plane | | | 15 | Final exam | | |
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Recommended or Required Reading |
Diferansiyel Denklemler ve Çözümlü Problemler. Samoylenko A M…..Çevirehler:Doç.Dr Elman Hazar,şıl Arda,Elşad Aliyev.Sakarya 2013.
Matematik Analiz Alıştırmalar ve Problemler Derlemesi.Demidoviç B….Çevirenler F.Akbulut-A.Çalışkan.Izmir 1992.
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 50 | End Of Term (or Year) Learning Activities | 50 | SUM | 100 |
| Language of Instruction | | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Brain Storming | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 50 | 50 |
Individual Study for Final Examination | 1 | 50 | 50 |
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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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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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