Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA649 | ADVANCED LINEAR ALGEBRA I | Compulsory | 1 | 1 | 6 |
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Level of Course Unit |
Second Cycle |
Objectives of the Course |
The aim of the course is to learn the basic concepts of advanced linear algebra is to be ready to scientific studies.
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Name of Lecturer(s) |
Yrd. Doç. Dr. Süleyman ŞENYURT |
Learning Outcomes |
1 | 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 |
• Multi-linear transformations
• The dual vector space
• Adjoint of a transformation
• Dual of the inner product space
• Matrix polynomials
• Quadratic forms
• Hermitian transformations and Hermitian matrices
• Unitary transformations and unitary matrices
• Self adjoint transformations
• Invariant subspaces
• Normal mapping and normal matrices
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Weekly Detailed Course Contents |
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1 | Multi-linear transformations
| | | 2 | The dual vector space
| | | 3 | Adjoint of a transformation
| | | 4 | Dual of the inner product space
| | | 5 | Matrix polynomials
| | | 6 | Quadratic forms
| | | 7 | Hermitian transformations and Hermitian matrices
| | | 8 | Midterm exam
| | | 9 | Unitary transformations and unitary matrices
| | | 10 | Unitary transformations and unitary matrices
| | | 11 | Self adjoint transformations
| | | 12 | Invariant subspaces
| | | 13 | Normal mapping and normal matrices
| | | 14 | Systems of Linear Equations, Generalized inverses of matrices
| | | 15 | Systems of Linear Equations, Generalized inverses of matrices
| | | 16 | Final exam
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Recommended or Required Reading |
Lang, S. (1966), Linear Algebra, Addson Wesley.
Taşcı, D. (1999), Linear Cebir, Selün Vakfı.
Hadley,G. (1961), Linear Algebra, Addson Wesley.
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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 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Makeup Examination | 1 | 2 | 2 |
Attending Lectures | 16 | 5 | 80 |
Problem Solving | 10 | 5 | 50 |
Self Study | 10 | 4 | 40 |
Individual Study for Mid term Examination | 6 | 5 | 30 |
Individual Study for Final Examination | 4 | 5 | 20 |
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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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