| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Matrix Analysis I | MAT524 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assist. Prof. Dr. Pınar ZENGİN ALP |
| Instructors |
Nejla ÖZMEN |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students |
| Course Content | Basic concepts,Eigenvalues ,Eigenvectors ,Similarity,Unitary equivalence and normal matrices,Canonical forms,Hermitian and symmetric matrices |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Maximization, minimization, and motivation | |
| 2. Week | Maximization, minimization, and motivation | |
| 3. Week | Vectors and matrices | |
| 4. Week | Vectors and matrices | |
| 5. Week | Vectors and matrices (continuation) | |
| 6. Week | Vectors and matrices (continuation) | |
| 7. Week | Diagonalization and canonical forms | |
| 8. Week | Midterm | |
| 9. Week | Diagonalization and canonical forms | |
| 10. Week | Reduction of general symmetric matrices | |
| 11. Week | Reduction of general symmetric matrices | |
| 12. Week | Reduction of general symmetric matrices (continuation) | |
| 13. Week | Reduction of general symmetric matrices (continuation) | |
| 14. Week | The Cayley-Hamilton Theorem for symmetric matrices |
| [1] Bellman, R., Introduction to Matrix Analysis, The Rand Corporation, Philadelphia, 1997. |
| [1] Bellman, R., Introduction to Matrix Analysis, The Rand Corporation, Philadelphia, 1997. |
| [2] Golub G. H., Van Loan, C. F., Matrix Computations, The Johns Hopkins University Press, London, 1996. |
| [3] Horn, R. A., Johnson, C. R., Matrix Analysis, Cambridge University Press, Cambridge, 1985. |
| [2] Golub G. H., Van Loan, C. F., Matrix Computations, The Johns Hopkins University Press, London, 1996. |
| [3] Horn, R. A., Johnson, C. R., Matrix Analysis, Cambridge University Press, Cambridge, 1985. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 40 |
| PY2 | 4 | 0 | 0 | 40 |
| PY3 | 4 | 0 | 0 | 40 |
| PY4 | 4 | 0 | 0 | 40 |
| PY5 | 3 | 0 | 0 | 40 |
| PY6 | 4 | 0 | 0 | 40 |
| PY7 | 4 | 0 | 0 | 40 |
| PY8 | 4 | 0 | 0 | 40 |
| PY9 | 4 | 0 | 0 | 40 |
| PY10 | 4 | 0 | 0 | 40 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Quiz 1 | 4 | 1 | 4 |
| Quiz 2 | 4 | 1 | 4 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 204 | ||
| ECTS Credit of the Course | 8.0 | ||
