| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Linear Algebra | EEM162 | 2. Semester | 3 + 0 | 3.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | In class |
| Course Coordinator |
Assist. Prof. Dr. ALİ İHSAN AYGÜN Assist. Prof. Dr. Muhammed Mustafa ERTAY |
| Instructors |
ALİ İHSAN AYGÜN |
| Assistants | |
| 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 |
| Learning Outcomes |
- Matrices - Determinant - Solving linear equations - Isomorphism - Linear transformations - Eigenvalues and eigenvectors - Diagonalization of matrices |
| Week | Topics | Learning Methods |
|---|---|---|
| 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 |
| Linear Algebra and Its Applications (5th Edition) by David C. Lay, Steven R. Lay, Judi J. McDonald, 2015 |
| Uygulamalı Lineer Cebir (7. Baskıdan Çeviri), Bernard Kolman, David R. Hill, Palme Yayıncılık, 2002. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY6 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | - |
| PY7 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | - |
| PY8 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | - |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY10 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | - |
| PY11 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | - |
| 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 |
| Preparation, After Class Study | 14 | 3 | 42 |
| 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 | ||
| ECTS Credit of the Course | 6.0 | ||
