| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | FMA651 | LINEAR MODELS 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) |
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| 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. | | 2 | | | 3 | | | 4 | | | 5 | |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| • Normed Spaces
• Matrix Norms
• Linear Transformations
• Linear Functionals and the Dual Space
• Hermitian, unitary and normal transformations
• Eigenvalues and Eigenvectors
• Singular Values
• Diagonalization and triangulations
• Quadratic Equations and Simplification of Quadratic Surface
• Bilinear Forms
• Groups Protecting Bilinear Forms
• Quadratic Forms
• Jordaan Canonical Form
• Polynomials
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| Weekly Detailed Course Contents |
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| 1 | Normed Spaces
| | | | 2 | Matrix Norms
| | | | 3 | Linear Transformations
| | | | 4 | Linear Functionals and the Dual Space
| | | | 5 | Hermitian, unitary and normal transformations
| | | | 6 | Singular Values, Diagonalization and triangulations
| | | | 7 | Singular Values, Diagonalization and triangulations
| | | | 8 | Midterm exam,
| | | | 9 | Quadratic Equations and Simplification of Quadratic Surface
| | | | 10 | Quadratic Equations and Simplification of Quadratic Surface
| | | | 11 | Bilinear Forms
| | | | 12 | Groups Protecting Bilinear Forms
| | | | 13 | Quadratic Forms
| | | | 14 | Jordaan Canonical Form
| | | | 15 | Polynomials
| | | | 16 | Final exam
| | |
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| Recommended or Required Reading |
| Lang, S. (1966), Linear Algebra, Addson Wesley.
Taşcı, D. (1999), Lineer Cebir, Selün Vakfı.
Hadley, G. (1961), Linear Algebra, Addson
esley.
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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 |
| Problem Solving | 14 | 4 | 56 |
| Discussion | 20 | 4 | 80 |
| Brain Storming | 20 | 2 | 40 |
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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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