| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT535 | SYMBOLIC COMPUTATION I | Elective | 1 | 1 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To teach the solution of non-linear equations using symbolic calculation techniques |
| Name of Lecturer(s) |
| Doç. Dr. Yusuf Pandır |
| Learning Outcomes |
| 1 | To define given concepts | | 2 | To make sense given 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 |
| Non-linear differential equations, Wave transformation for partial differential equations, Transformation of differential equations into algebraic equation systems, Symbolic calculation techniques in Matlab and Mathematica, Symbolic solutions of algebraic equation systems, Solution of Riccati differential equation with symbolic calculation, Riccati of non-linear partial differential equations The solution of reduced form to the equation form, Complete solution of high dimensional non-linear differential equations, Complete solution of generalized high order non-linear partial differential equations depending on force and derivative order, Structure and physical analysis of solution functions of differential equations |
| Weekly Detailed Course Contents |
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| 1 | Non-linear differential equations, wave transformation for partial differential equations | | | | 2 | Conversion of differential equations to algebraic equations | | | | 3 | Conversion of differential equations to algebraic equations | | | | 4 | Symbolic calculation techniques in Matlab and Mathematica | | | | 5 | Symbolic calculation techniques in Matlab and Mathematica | | | | 6 | Symbolic calculation techniques in Matlab and Mathematica | | | | 7 |
Symbolic solutions of algebraic equations | | | | 8 |
Solution of Riccati differential equation by symbolic calculation | | | | 9 |
Solution of non-linear partial differential equations by reducing to Riccati equation form | | | | 10 |
Solution of non-linear partial differential equations by reducing to Riccati equation form | | | | 11 | Exact solution of generalized higher order non-linear partial differential equations | | | | 12 | Exact solution of generalized higher order non-linear partial differential equations | | | | 13 | Structure and physical analysis of solution functions of differential equations | | | | 14 | Structure and physical analysis of solution functions of differential equations | | | | 15 | Structure and physical analysis of solution functions of differential 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 | 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 |