| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT577 | ÇOK LİNEER CEBİR I | Elective | 1 | 1 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| To introduce sections of multilinear algebra |
| Name of Lecturer(s) |
| Doç. Dr. Murat BABAARSLAN |
| Learning Outcomes |
| 1 | To know multilinear transformations. | | 2 | To know the concept of dual vector space.
| | 3 | To know the concept of invariant subspaces.
|
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
|
| Recommended Optional Programme Components |
|
| Course Contents |
| Multilinear transformations, dual vector space, adjoint of transformation, dual of inner product space, matrix polynomials, quadratic forms, Hermitian transformations and Hermitian matrices, unitary transformations and unitary matrices, self-adjoint transformations, invariant subspaces, normal transformations and normal matrices. |
| Weekly Detailed Course Contents |
|
| 1 | Multilinear transformations
| | | | 2 | Dual vector space | | | | 3 | Adjoint of transformation
| | | | 4 | Dual of inner product space
| | | | 5 | Matrix polynomials
| | | | 6 | quadratic forms | | | | 7 | Hermitian transformations and Hermitian matrices
| | | | 8 | Unitary transformations and unitary matrices
| | | | 9 | Self-adjoint transformations
| | | | 10 | Self-adjoint transformations
| | | | 11 | Invariant subspaces
| | | | 12 | Invariant subspaces
| | | | 13 | Normal transformations and normal matrices
| | | | 14 | Normal transformations and normal matrices
| | |
|
| Recommended or Required Reading |
|
| Planned Learning Activities and Teaching Methods |
|
| 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) | |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 30 | 30 |
| Final Examination | 1 | 40 | 40 |
| Makeup Examination | 1 | 10 | 10 |
| Attending Lectures | 1 | 20 | 20 |
| Self Study | 1 | 10 | 10 |
| Individual Study for Mid term Examination | 1 | 15 | 15 |
| Individual Study for Final Examination | 1 | 40 | 40 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |
| Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |