| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT541 | ADVANCED NUMERİCAL ANALYSİS-I | Elective | 1 | 1 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To introduce numerical analysis and its applications |
| Name of Lecturer(s) |
| Doç.Dr. Yusuf PANDIR |
| Learning Outcomes |
| 1 | to define given concepts | | 2 | To make sense of abstract concepts. | | 3 | To explain the basic examples of given concepts. | | 4 | To relate between given concepts. | | 5 |
To explain the usage areas of 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 |
| Interpolation with Split Differences, Lagrange Method, Finite Differences, Finite Difference Interpolation |
| Weekly Detailed Course Contents |
|
| 1 | Numerical Solutions of Linear Equations | | | | 2 | Numerical Solutions of Linear Equations | | | | 3 | Vector and Matrix Norms | | | | 4 | Gaussian elimination method, representation of lower and upper triangular matrices | | | | 5 | Pivoting, Error Analysis | | | | 6 | Iterative Methods, Special Systems | | | | 7 | Iterative Methods for Linear and Nonlinear Equations | | | | 8 | Iterative Methods for Linear and Nonlinear Equations | | | | 9 | Approximation Methods of Polynomials, Orthogonal Polynomials | | | | 10 | Approach at the Maximum Norm | | | | 11 | interpolation | | | | 12 | Finite Differences, Numerical Integration | | | | 13 | Initial Value Problems for Ordinary Differential Equations | | | | 14 | Step-by-Step Methods, Consistency | | | | 15 | Linear Multi-Step Systems, Runge-Kutte 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 | 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 |