Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT580 | MATRİS ANALİZİ II | Elective | 1 | 1 | 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 |