Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT536 | SYMBOLİC COMPUTATION II | Elective | 1 | 2 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
Structure and physical analysis of solution functions of differential equations |
Name of Lecturer(s) |
Doç. Dr. Yusuf Pandır |
Learning Outcomes |
1 | To define given concepts | 2 | To make sense abstract concepts | 3 | To explain the basic examples of given concepts | 4 | To relate between given concepts | 5 | To explain usage areas given concepts |
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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 |
Semi-analytical solution methods for differential equations, Homotopy perturbation method, Variational iteration method, Complete solution methods for differential equations, Exponential function method, Method, First integral method, Elliptic functions, Elliptic integrals, Jacobi elliptic function method, Experimental equation method, Irrational experiment equation method, rational experiment equation method, advanced experiment equation methods, hyperbolic function methods, trigonometric function methods |
Weekly Detailed Course Contents |
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1 | Semi-analytical methods for differential equations | | | 2 | Gradian and Hamilton systems | | | 3 | Homotopy perturbation method | | | 4 | Homotopy perturbation method | | | 5 | Variational iteration method, exact solution methods for differential equations | | | 6 | Variational iteration method, exact solution methods for differential equations | | | 7 |
Exponential function method | | | 8 |
(G '/ G) method, first integral method, elliptic functions | | | 9 |
Elliptic integrals, Jacobi elliptic function method | | | 10 | Trial equation method | | | 11 | Irrational trial equation method | | | 12 | Rational trial equation method | | | 13 | Advanced trial equation methods | | | 14 |
Hyperbolic function methods | | | 15 | Trigonometric function methods | | |
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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 |
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 |