| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra | CE213 | English | Compulsory | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to Face |
| Course Coordinator | Doç. Dr. Nejla ÖZMEN, Dr. Öğr. Üyesi Esra KORKMAZ |
| Instructor(s) | Dr. Öğr. Üyesi Esra KORKMAZ (Güz) |
| Goals | The aim of this lecture is to introduce the fundamental concepts of linear algebra and their applications in computer engineering. |
| Course Content | Linear Equation Systems, Matrices, Determinants,Vector spaces, Linear Transformations, Matrix Representations of Linear Transformations, Inner Product Spaces, Eigenvalues and Eigenvectors |
| # | Öğrenme Kazanımı |
| 1 | Solves linear systems of equations using various methods, and understands the geometric interpretation of solutions. |
| 2 | Applies matrix operations to solve systems of linear equations, analyze data, and represent transformations. |
| 3 | Transforms systems of linear equations into their reduced row echelon form using Gaussian elimination and applies these techniques to solve practical problems. |
| 4 | Solves linear systems using the Cramer's rule, understands the relationship between determinants and the solution of linear systems, and applies these concepts to analyze and manipulate data. |
| 5 | Knows how to use tools from linear algebra to solve the problems of computer science. |
| 6 | Express data and problems using vectors and vector spaces; understand the basic concepts of spanning and linear independence. |
| 7 | Calculates eigenvalues and eigenvectors of matrices and applies them to understand and analyze systems with linear behavior. |
| 8 | Understands the role of linear transformations in representing and manipulating data, applying these concepts to solve problems in diverse fields. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Linear Equation Systems, Matrices | |
| 2. Week | Matrix Multiplication, Algebraic Properties of Matrix Operations, Special Types of Matrices | |
| 3. Week | Echelon Form of a Matrix, Solution of Linear Equation Systems | |
| 4. Week | Elementary Matrices, Finding the Inverse of a Matrix | |
| 5. Week | Determinants, Cramer's Rule | |
| 6. Week | Vector Spaces, Subspaces | |
| 7. Week | Spanning, Linear Independence | |
| 8. Week | Midterm | |
| 9. Week | Basis and Dimension | |
| 10. Week | Inner Product Spaces and Gram-Schmidt Method | |
| 11. Week | Linear Transformations, Kernel and Image of Linear Transformations | |
| 12. Week | Matrix Representation of Linear Transformations | |
| 13. Week | Eigenvalues and Eigenvectors | |
| 14. Week | Diagonalization |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 2 | Ability to identify, define, formulate and solve complex engineering problems; for this purpose, the ability to select and apply appropriate analysis and modeling methods | ✔ | |||||
| 8 | Ability to develop, 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 | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 |
|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 5 | 5 | 4 | 5 | 4 | 5 | 5 |
| PY2 | 4 | 3 | 4 | 4 | 4 | 4 | 4 | 5 |
| PY8 | 3 | 3 | 3 | 3 | 3 | 2 | 3 | 3 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Dr. Öğr. Üyesi Esra KORKMAZ | N.Ö | Vize | 40.00 |
| Dr. Öğr. Üyesi Esra KORKMAZ | N.Ö | Ders İçi Performans | 5.00 |
| Dr. Öğr. Üyesi Esra KORKMAZ | N.Ö | Final | 55.00 |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 2 | 7 | 14 | |
| Homework 2 | 2 | 7 | 14 | |
| Final | 1 | 2 | 2 | |
| Practice | 13 | 1 | 13 | |
| Practice End-Of-Term | 2 | 2 | 4 | |
| Classroom Activities | 14 | 2 | 28 | |
| Total Workload | 77 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
