| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | IMO3022013331 | DIFFERENTIAL EQUATIONS | Compulsory | 3 | 6 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The aim of this course is to teach how can the students classify the differential equations and know the methods and applications of these equations. |
| Name of Lecturer(s) |
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| Learning Outcomes |
| 1 | Classify the differential equations | | 2 | Find general solutions to first-order, second-order, and higher-order homogeneous and nonhomogeneous linear differential equations by choosing the most suitable method. | | 3 | Solve basic application problems described by differential equations. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Concept of differential equation, Classification of differential equations, Initial value problems, General solutions, Separable equations, Homogeneous equations, Equations transformed into homogeneous type, Exact Differential Equations, Integrating Factor Technique, First order linear equations, Bernoulli and Riccati differential equations, First order and higher degree equations, Second order equations of one independent variables, Applications of second order differential equations. Higher degree differential equations and linear differential equations and their solutions. |
| Weekly Detailed Course Contents |
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| 1 | Differential equations and their classifications | | | | 2 | Initial and boundary value problems, construction of differential equations | | | | 3 | Variable seperation equations | | | | 4 | Homogeneous and Reducible to homogeneous type differential equations | | | | 5 | Linear differantial equations | | | | 6 | Bernoulli's and Riccati's equations | | | | 7 | Exact differential equations, integrating factor | | | | 8 | Midterm exam | | | | 9 | Second order differential equation | | | | 10 | Higher order differential equations | | | | 11 | Operator method | | | | 12 | Method of change of parameters | | | | 13 | Caucy-Euler differential equation | | | | 14 | Linear differential equation systems | | | | 15 | Applications | | | | 16 | Final Exam | | |
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| Recommended or Required Reading |
| 1) Mehmet Sezer, Ayşegül Daşcıoğlu; Diferansiyel Denklemler 1, Dora Yayıncılık, 2015
2) Diferansiyel Denklemler Teorisi; Elman Hasanov, Gökhan Uzgören, Alinur Büyükaksoy, Papatya Yayınları
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| 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 | 4 | 56 |
| Problem Solving | 14 | 1 | 14 |
| Question-Answer | 14 | 1 | 14 |
| Individual Study for Homework Problems | 14 | 1 | 14 |
| Individual Study for Mid term Examination | 1 | 24 | 24 |
| Individual Study for Final Examination | 1 | 24 | 24 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 3 | 3 | 2 | 4 | 3 | 2 | 4 | 3 | 3 | 3 | 2 | 4 | 3 | 3 | 4 | 3 | | LO2 | 3 | 4 | 3 | 3 | 4 | 3 | 4 | 2 | 4 | 3 | 3 | 3 | 2 | 4 | 3 | 2 | | LO3 | 4 | 3 | 3 | 3 | 3 | 2 | 4 | 3 | 3 | 4 | 3 | 4 | 5 | 4 | 4 | 3 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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