| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra | EEM162 | Turkish | Compulsory | 2. Semester | 3 + 0 | 3.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | In class |
| Course Coordinator | Dr. Öğr. Üyesi ALİ İHSAN AYGÜN |
| Instructor(s) | |
| Goals | The aim of this course is to teach the fundamentals of linear algebra and its applications in engineering. |
| Course Content | Matrix algebra, Elementary operations, Determinants, Systems of linear equations, Vector spaces, Basis and dimension, Linear dependence and independence, Linear transformations, Inner product spaces, Matrix norms, Eigenvalues and eigenvectors, Diagonalization |
| # | Öğrenme Kazanımı |
| 1 | Matrices |
| 2 | Determinant |
| 3 | Solving linear equations |
| 4 | Isomorphism |
| 5 | Linear transformations |
| 6 | Eigenvalues and eigenvectors |
| 7 | Diagonalization of matrices |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Matrix algebra | |
| 2. Week | Elementary operations | |
| 3. Week | Determinants | |
| 4. Week | Linear equation systems and solutions | |
| 5. Week | Linear equation systems and solutions | |
| 6. Week | Vector spaces | |
| 7. Week | Linear dependence and independence | |
| 8. Week | Basis and Dimensions | |
| 9. Week | Linear transformations | |
| 10. Week | Matrix representations of linear transformations | |
| 11. Week | Inner product spaces | |
| 12. Week | Matrix norms | |
| 13. Week | Eigenvalues and eigenvectors | |
| 14. Week | Diagonalization of matrices |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| 2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ✔ | |||||
| 3 | Ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose. | ✔ | |||||
| 4 | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | ✔ | |||||
| 5 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 6 | Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | ✔ | |||||
| 7 | Ability to communicate effectively both orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ✔ | |||||
| 8 | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ✔ | |||||
| 9 | Knowledge about behaving by ethical principles, professional and ethical responsibility, and standards used in engineering practices. | ✔ | |||||
| 10 | Knowledge of business life practices such as project management, risk management, and change management; awareness of entrepreneurship, and innovation; knowledge of sustainable development. | ✔ | |||||
| 11 | Knowledge about the global and societal effects of engineering practices on health, environment, and safety and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY6 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 3 | 42 |
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 3 | 12 | |
| Homework 2 | 4 | 3 | 12 | |
| Final | 1 | 1.5 | 1.5 | |
| Classroom Activities | 14 | 3 | 42 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
