| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT580 | MATRİS ANALİZİ II | Elective | 1 | 2 | 6 |
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| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To give the classical and current results of matrix analysis which are known to be important in applied mathematics. |
| Name of Lecturer(s) |
| Prof.Dr.Mammad MUSTAFAYEV |
| Learning Outcomes |
| 1 | To understand and use Gersgorin Disc Theorem and related theorems | | 2 | To understand vector norms, matrix norms and their properties.
| | 3 | To determine the boundaries for the spectral radius of the matrices by using matrix norms.
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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 |
| Hermitian and symmetric matrices, norms for vectors and matrices, Gersgorin discs, perturbation theorems, positive definite matrices and properties, positive and nonnegative matrices, Stochastic matrices. |
| Weekly Detailed Course Contents |
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| 1 | Hermitian matrices
| | | | 2 | Symmetric matrices
| | | | 3 | Norms for vectors
| | | | 4 | Norms for matrices
| | | | 5 | Gersgorin discs
| | | | 6 | Perturbation theorems
| | | | 7 | Applications | | | | 8 | Positive definite matrices and properties
| | | | 9 | Positive definite matrices and properties
| | | | 10 | Positive matrices
| | | | 11 | Nonnegative matrices
| | | | 12 | Irreducible nonnegative matrices
| | | | 13 | Stochastic matrices
| | | | 14 | Applications | | |
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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 | 40 | 40 |
| Final Examination | 1 | 40 | 40 |
| Makeup Examination | 1 | 20 | 20 |
| Attending Lectures | 1 | 10 | 10 |
| Self Study | 1 | 10 | 10 |
| Individual Study for Mid term Examination | 1 | 20 | 20 |
| Individual Study for Final 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 |