| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT42920121310 | INTEGRAL EQUATIONS-I | Elective | 4 | 7 | 5 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Mathematical models which has many physical applications that have appeared as differential equations or integral equations. The course includes information on integral equations and their solutions. |
| Name of Lecturer(s) |
| DOÇ.DR. ERHAN SET |
| Learning Outcomes |
| 1 | Students who successfully complete this course : will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| General concepts of integral equations; Classification of integral equations; linear or non-linear integral equations; Singular or non-singular integral equations; Homogeneous or inhomogeneous integral equations, Volterra and Fredholm integral equations; Integro differential equations; Parameterized integral equations; solutions of integral equations; Solution Techniques; the relationship between integral equations and differential equations.
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| Weekly Detailed Course Contents |
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| 1 | General concepts of integral equations | | | | 2 | Classification of integral equations | | | | 3 | Linear or non-linear integral equations | | | | 4 | Linear or non-linear integral equations | | | | 5 | Singular or non-singular integral equations | | | | 6 | Singular or non-singular integral equations | | | | 7 | Homogeneous or inhomogeneous integral equations | | | | 8 | Midterm exam | | | | 9 | Volterra and Fredholm integral equations | | | | 10 | Integro differential equations | | | | 11 | Parameterized integral equations | | | | 12 | Solutions of integral equations
| | | | 13 | Solution Techniques | | | | 14 | Solution Techniques | | | | 15 | The relationship between integral equations and differential equations.
| | | | 16 | Final exam | | |
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| Recommended or Required Reading |
| S. G. Mihlin, Integrate equation, London 1957
Y. Aksoy, İntegral Denklemler, İst. 1983
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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 | | | 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 |
| Self Study | 14 | 4 | 56 |
| Individual Study for Mid term Examination | 2 | 8 | 16 |
| Individual Study for Final Examination | 2 | 9 | 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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