Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT543 | DİFFERENCE EQUATİONS-I | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
To introduce difference equations, to teach solution methods and
examination of application areas. |
Name of Lecturer(s) |
Prof.Dr.Mammad MUSTAFAYEV |
Learning Outcomes |
1 | To learn difference equations | 2 | To apply difference 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 |
difference Operator, Properties of Difference and Shift Operators, Similarities between difference and Differential Operators, Inverse Difference Operator and Properties, Scalar Difference Equations, Linear Difference Equations Theory, First Order Linear Difference Equations, Second Order Linear Homogen Equations and Solutions, Higher Order Linear difference Equations Theory, High-order Constant Coefficient Linear Homogen Difference Equations, Undetermined Coefficients Method, Method of Change of Constants, Nonlinear Scalar Difference Equations, Some Applications on Difference Equations |
Weekly Detailed Course Contents |
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1 | Difference operators | | | 2 | Properties of Difference and Shift Operators | | | 3 | Similarities between difference and Differential Operators | | | 4 | Inverse Difference Operator and Properties | | | 5 | Scalar Difference Equations | | | 6 | Linear Difference Equations Theory | | | 7 | First Order Linear Difference Equations | | | 8 | Second Order Linear Homogen Equations and Solutions | | | 9 | Higher Order Linear difference Equations Theory | | | 10 | High-order Constant Coefficient Linear Homogen Difference Equations | | | 11 | Undetermined Coefficients Method | | | 12 | Method of Change of Constants | | | 13 | Nonlinear Scalar Difference Equations | | | 14 | Some Applications on Difference Equations | | |
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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 | 70 | 70 |
Final Examination | 1 | 85 | 85 |
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 |