Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT550 | LİNEER OLMAYAN DİFERANSİYEL DENKLEMLER II | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
To introduce nonlinear differential equations |
Name of Lecturer(s) |
Doç.Dr.Yusuf PANDIR |
Learning Outcomes |
1 | To learn nonlinear differential equations | 2 | To apply nonlinear differential equations |
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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 |
Trial method, Generalized Trial method Adomian decomposition method ,Variational iteration method, Homotopy analysis method,homotopy perturbation method, Lagrange characteristic method, finite difference method , finite element method, Differential transformation method ,Fractional subequation method,first integral method , (𝐺/𝐺)-expansion method ,Fractional complex transform method,modified simple equation method,Jacobi elliptic function expansion method
Existence and uniqueness of solutions, Picard sequential approximation method, An entity and uniqueness theorem, Lipschitz condition, Proof of existence uniqueness theorem, Systems of nonlinear differential equations |
Weekly Detailed Course Contents |
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1 | Trial method | | | 2 | Generalized trial method | | | 3 | Fractional complex transform method | | | 4 | modified simple equation method | | | 5 | Jacobi elliptic function expansion method | | | 6 | Generalized Jacobi elliptic function expansion method | | | 7 | Lagrange characteristic method | | | 8 | finite difference method | | | 9 | finite element method | | | 10 | Differential transformation method | | | 11 | Fractional subequation method | | | 12 | first integral method | | | 13 | (𝐺/𝐺)-expansion method | | | 14 | Extended (𝐺/𝐺)-expansion method | | |
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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 | 100 | 100 |
Final Examination | 1 | 50 | 50 |
Makeup Examination | 1 | 30 | 30 |
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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 |