| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT539 | DİFFERANTİAL EQUATİONS THEORY-I | Elective | 1 | 1 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To learn differential equations and applications |
| Name of Lecturer(s) |
| Doç.Dr. Yusuf PANDIR |
| Learning Outcomes |
| 1 | to define | | 2 | Soyut kavramları anlamlandırır. | | 3 | Verilen kavramların temel örneklerini açıklar. | | 4 | Verilen kavramlar arasında ilişki kurar. | | 5 | Verilen kavramların kullanım alanlarını açıklar. |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
| Differential operator, Operator method and its applications, Basic theory of linear systems in normal form for two unknowns with two unknowns and linear homogeneous systems with constant coefficients for two equations with two unknowns, Investigation of the states of roots of characteristic equations, Basic concepts in matrix and vectors, Linear dependent and independence and functions, the basic theory of linear systems in normal form for n unknowns with n unknowns and linear homogeneous systems with constant coefficients for n unknowns with n unknowns, State of characteristic values and general applications |
| Weekly Detailed Course Contents |
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| 1 | solutions | | | | 2 | Birinci mertebeden denklemler | | | | 3 | Birinci mertebeden denklemler | | | | 4 | Birinci mertebeden denklemler | | | | 5 | İkinci mertebeden denklemler | | | | 6 | İkinci mertebeden denklemler | | | | 7 | İkinci mertebeden denklemler | | | | 8 | İki değişkenli fonksiyonların hiperbolik denklemleri | | | | 9 | İki değişkenli fonksiyonların hiperbolik denklemleri | | | | 10 | İki değişkenli fonksiyonların hiperbolik denklemleri | | | | 11 | Karakteristik manifoldlar ve Cauchy problemi | | | | 12 | Karakteristik manifoldlar ve Cauchy problemi | | | | 13 | Laplace denklemleri | | | | 14 | Laplace denklemleri | | | | 15 | Laplace denklemleri | | |
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| Recommended or Required Reading |
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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 | | | Work Placement(s) | |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Makeup Examination | 1 | 20 | 20 |
| Attending Lectures | 15 | 3 | 45 |
| Individual Study for Mid term Examination | 7 | 8 | 56 |
| Individual Study for Final Examination | 8 | 8 | 64 |
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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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| Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |