Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 160103003100 | DIFFERENTIAL EQUATIAONS | Compulsory | 2 | 3 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
to introduce different types of differential equations in engineering problems and, to investigate the solving process of them. |
Name of Lecturer(s) |
Dr.Öğr.Üyesi Melih YILDIZ |
Learning Outcomes |
1 | being able to define different type of differential equations | 2 | Being able to establish the differential equations of some physical problems | 3 | being able to solve the first order ordinary diferential equations, | 4 | being able to solve some differential equations with higher order ordinary diferential equations, |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
no prerequisties |
Recommended Optional Programme Components |
to solve differantial equations requires a reasonable math background, therefore; it is strongly recommended that students review the basic topics such as dependent and independent variables, continuous and discontinuous functions, ordinary and partial derivates and, integrals before attending the course. |
Course Contents |
defining different types of differential equations and, solutions of 1th and high order differential equations in various ways. |
Weekly Detailed Course Contents |
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1 | Definition and Classification of Differential Equations | | | 2 | Separable Differential Equations, Convertible Differential equations to separable form and, modeling | | | 3 | Exact Differential Equations,Convertible Differential equations to exact differential equation form (Integrating factor) | | | 4 | the first order linear differential equations and their solving ways(integrating factors and the method of variation of parameters | | | 5 | Reduction to Linear form -Bernoulli Equation | | | 6 | 2th order differential equations-homogenous linear differential equations | | | 7 | Midterm Exam | | | 8 | Euler-Cauchy differential equations, Differential operators, existince -uniqueness theory and Wronskian | | | 9 | 2th order non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters) | | | 10 | 2th order non-homogeneous Euler-Cauchy differential equations and solution method( undetermined coefficients method and, the method of variation of parameters) | | | 11 | High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters) | | | 12 | High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters) | | | 13 | Solution of differential equations with Laplace Tranforms | | | 14 | Solution of differential equations with Laplace Tranforms | | | 15 | Final Exam | | |
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Recommended or Required Reading |
Erwin Kreyszig, "Advanced Engineering Mathematics", 9th edition,Waley
Çengel, Y.A, Palm, W.J. Mühendisler ve Fen Bilimleri için Diferansiyel Denklemler,(Editor: Tahsin Engin),Güven Kitabevi, İzmir.
Başarı, M.,Turker, E.S., Çözümlü Problemlerle Diferansiyel Denklemler, 2003, Değişim Yayınları. |
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) | |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 20 | 20 |
Individual Study for Final Examination | 1 | 24 | 24 |
Homework | 4 | 12 | 48 |
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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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