Rapor Tarihi: 13.04.2026 03:14
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra | BMM106 | Turkish | Compulsory | 2. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to Face |
| Course Coordinator | Doç. Dr. Nejla ÖZMEN |
| Instructor(s) | Doç. Dr. Nejla ÖZMEN (Bahar) |
| Goals | This course aims to teach students the fundamentals of linear algebra and introduce its applications in engineering. |
| Course Content | Matrix Algebra, Elementary Operations and Applications, Determinants, Linear Equation Systems and Solutions, Vector Spaces, Linear Dependency and Independence, Base and Dimension, Linear Transformations, Matrix Representations of Linear Transformations, Inner Product Spaces, Matrix Norms, Eigenvalues and Eigenvectors, Diagonalization will be covered. |
| # | Öğrenme Kazanımı |
| 1 | Being able to operate with matrices |
| 2 | Being able to calculate determinants |
| 3 | Being able to solve a system of equations |
| 4 | Establishing an isomorphism between Linear Transformations and Matrices |
| 5 | To teach the basic information about linear transformations |
| 6 | Teaching basic information about Eigenvalues and Eigenvectors |
| 7 | Understanding the importance of diagonalization of matrices and applications of diagonalization |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Matrix Algebra | Preparation, After Class Study, Research, Other Activities, Practice |
| 2. Week | Elementary Operations and Applications | Preparation, After Class Study, Research, Other Activities, Practice |
| 3. Week | Determinants | Preparation, After Class Study, Research, Other Activities, Practice |
| 4. Week | Linear Equation Systems and Solutions | Preparation, After Class Study, Research, Other Activities, Practice |
| 5. Week | Linear Equation Systems and Solutions | Preparation, After Class Study, Research, Other Activities, Practice |
| 6. Week | Vector Spaces | Preparation, After Class Study, Research, Other Activities, Practice |
| 7. Week | Linear Dependency and Independence | Preparation, After Class Study, Research, Other Activities, Practice |
| 8. Week | Base and Size | Preparation, After Class Study, Research, Other Activities, Practice |
| 9. Week | Linear Transformations | Preparation, After Class Study, Research, Other Activities, Practice |
| 10. Week | Matrix Representations of Linear Transformations | Preparation, After Class Study, Research, Other Activities, Practice |
| 11. Week | Inner Product Spaces | Preparation, After Class Study, Research, Other Activities, Practice |
| 12. Week | Matrix Norms | Preparation, After Class Study, Research, Other Activities, Practice |
| 13. Week | Eigenvalues and Eigenvectors | Preparation, After Class Study, Research, Other Activities, Practice |
| 14. Week | Diagonalization | Preparation, After Class Study, Research, Other Activities, Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | It explains the theories and principles related to the field. | ✔ | |||||
| 2 | It provides practical skills in the field of Biomedical Engineering by utilizing knowledge from health sciences and engineering. | ✔ | |||||
| 4 | It provides the ability to define, model, and solve a problem encountered in medicine using engineering approaches. | ✔ | |||||
| 6 | It instills professional responsibility and ethical awareness. | ✔ | |||||
| 10 | It provides the ability to access information, follow developments in science and technology, and continuously update oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Bahar Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. Nejla ÖZMEN | Vize | 40.00 | |
| Doç. Dr. Nejla ÖZMEN | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 2 | 28 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 2 | 28 |
| Research | 3 | 1 | 3 | |
|
Sınavlar |
Midterm | 1 | 1.5 | 1.5 |
| Final | 1 | 2 | 2 | |
| Classroom Activities | 14 | 1 | 14 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
