Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA607 | MATRIX ANALYSIS I | Compulsory | 1 | 2 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
• to gain the basic information necessary in the field of Matrix Analysis. |
Name of Lecturer(s) |
Doç. Dr. Selahattin MADEN |
Learning Outcomes |
1 | | 2 | Alanı ile ilgili ileri düzeyde alan bilgisine, becerisine sahip olmak ve bunu gerçek öğretim ortamlarında kullanmak | 3 | To have the ability and knowledge of the advanced level of related to the field and use it in real learning environments. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
• Hermitian matrices
• Quadratic forms
• Scalar-valued functions on matrices
• Equivalence on row and linear systems
• Structure of system solutions to AX = K
• Equivalence, similarity, and eigenvalue problems
• Diagonalization
• Schur's theorem ve reduction of triangular shape
• Cayley-Hamilton theorem
• Minimal polynomial
• Co-matrices
• Gerschgorin theorem
• The power method
• Souriau-Frame method
• Deflation of a matrix
• The product of QR
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Weekly Detailed Course Contents |
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1 | Hermitian matrices
| | | 2 |
• Quadratic forms
| | | 3 |
• Quadratic forms
| | | 4 |
• Scalar-valued functions on matrices
| | | 5 |
• Scalar-valued functions on matrices
• | | | 6 |
• Equivalence on row and linear systems
| | | 7 |
• Schur's theorem ve reduction of triangular shape
• | | | 8 |
•Mid exam
• | | | 9 |
• Structure of system solutions to AX = K
• | | | 10 |
• Cayley-Hamilton theorem
• | | | 11 |
• Minimal polynomial
• | | | 12 |
• Co-matrices
• | | | 13 |
• Gerschgorin theorem
• | | | 14 |
• The power method
• Souriau-Frame method
• | | | 15 |
• Deflation of a matrix
• The product of QR | | | 16 | Final Exam
| | |
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Recommended or Required Reading |
Roger A.Horn and Charles R.Johnson, Matrix Analysis, Cambridge University Press 1985. |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 3 | 3 |
Final Examination | 1 | 3 | 3 |
Attending Lectures | 15 | 3 | 45 |
Self Study | 15 | 8 | 120 |
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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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Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
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