Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | FMA650 | ADVANCED LINEAR ALGEBRA II | 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. | 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 |
LO1 | 4 | 5 | 4 | 5 | 3 | 4 | 4 | LO2 | | | | | | | | LO3 | | | | | | | | LO4 | | | | | | | | LO5 | | | | | | | |
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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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