| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | 0100103102 | ENGINEERING MATHEMATICS | Compulsory | 2 | 3 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| After completing this course, student will be able to;
Learn to the fundamental knowledges of Differential Equations.
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| Name of Lecturer(s) |
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| Learning Outcomes |
| 1 | Geleneksel Ders Anlatımı. | | 2 | Classify partial differential equations and identify solution methods | | 3 | Gain knowledge on multi values functions, limit. | | 4 | Compute integrals, arc length, volume, area. | | 5 | Solve problems associated with surface integrals. |
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| Mode of Delivery |
| Evening Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| 1- Classification of differential equations and solution
2- Full Differential Equations
3- Integration Factor
4- Separation of variables that can Differential Equations
5- Homogeneous Differential Equations
6- Midterm Exam
7- Homogeneous Linear Differential Equations with Constant Coefficients
8- Non-Homogeneous Linear Differential Equations with Constant Coefficients - Method of Indeterminate Coefficients
9- Method of Variation of Parameters
10- Linear Differential Equations
11- Midterm Exam
12- Constant Coefficients Linear System Operator Method
13- Llineer Equation Systems Applications
14- Homogeneous linear systems with constant coefficients
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| Weekly Detailed Course Contents |
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| 1 | Differential Equations and Their Solutions | | | | 2 | Classification of Differential Equations | | | | 3 | First Order Ordinary Differential Eq. | | | | 4 | Full Differential Equations | | | | 5 | Integration Çarpanı | | | | 6 | Separation of variables | | | | 7 | Homogeneous Differential Equations | | | | 8 | Linear Equations | | | | 9 | Bernoulli, Riccati, Clairaut Equations | | | | 10 | High-order differential Eq. | | | | 11 | Method of Undetermined Coefficients | | | | 12 | Method of Variation of Parameters | | | | 13 | Operator Method | | | | 14 | Operator Method | | |
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| Recommended or Required Reading |
| Diferensiyel Denklemler ve Uygulamaları (Mehmet Aydın ve ark.)
Differntial Equations
(Shepley L.Ross)
Applied Differential Equations (Murray R. Spiegel)
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| Planned Learning Activities and Teaching Methods |
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| Assessment Methods and Criteria | | | 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 | 1 | 1 |
| Self Study | 1 | 30 | 30 |
| Individual Study for Mid term Examination | 1 | 50 | 50 |
| Individual Study for Final Examination | 1 | 50 | 50 |
| Homework | 1 | 18 | 18 |
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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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