Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT-23-100 | DIFERANTIAL EQUATION | Elective | 1 | 1 | 6 |
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Level of Course Unit |
Third 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 | Expression | 2 | Article critique | 3 | Presentation and preparation | 4 | | 5 | |
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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 |
Course Contents |
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Weekly Detailed Course Contents |
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1 | Second order linear differential equations | | | 2 | Transformation of equations and properties of solutions | | | 3 | Integration of differential equations by force series | | | 4 | Bessel's equation | | | 5 | Boundary value problem | | | 6 | Systems of differential equations | | | 7 | Normal and symmetric forums | | | 8 | Homogeneoues linear differential equations | | | 9 | Linear systems with constant coefficients | | | 10 | Linear non-homogenous systems | | | 11 | The concept of stability of solutions of differential equations | | | 12 | The stability of the solutions of the system of homogeneous linear differential equations | | | 13 | Stability conditions for the first approach | | | 14 | Investigation of stability with Lyapunov condition | | | 15 | Theorem of Barbashin Krasnov | | | 16 | Phase plane | | |
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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 | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Discussion | 16 | 3 | 48 |
Criticising Paper | 16 | 3 | 48 |
Individual Study for Mid term Examination | 1 | 45 | 45 |
Individual Study for Final Examination | 1 | 45 | 45 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
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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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