| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra ILinear Algebra I | MAE203 | Turkish | Compulsory | 3. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) | Prof. Dr. ŞAHİN DANİŞMAN (Güz) |
| Goals | To improve the ability of abstract thinking, by intensifying the concepts of matrices and determinants and the solutions of systems of linear equations to create the basis for algebra classes. |
| Course Content | Matrices, Matrix operations, special type matrices; elementary row and column operations, echelone matrix, elementary matrix and the inverse of a matrix; rank of a matrix; determinant, properties of determinant function; systems of linear equations, solution tecniques (Gauss elimination, Gauss-Jordan reduction method, inverse matrix and Cramer method) |
| # | Öğrenme Kazanımı |
| 1 | The student knows how to find inverse of a given matrix. |
| 2 | The student solves system s of linear equations using matrices and determinants. |
| 3 | The student understands the relation between matrices and linear systems |
| 4 | The student applies solution techniques to linear equation systems |
| 5 | The student knows the relationship between rank of matrix, determinants and invertibility. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Matrices and matrix operations | Class Hours Interview |
| 2. Week | Matrix operations and matrix types | Interview Class Hours |
| 3. Week | Elementary row/column operations, Echelon matrix | Interview Class Hours |
| 4. Week | Linear combinations, Linear dependence and independence | Interview Class Hours |
| 5. Week | Determinants and properties | Class Hours Interview |
| 6. Week | Rank of a matrix | Interview Class Hours |
| 7. Week | Inverse of a matrix | Interview Class Hours |
| 8. Week | Midterm | |
| 9. Week | Systems of linear equations and the solution tecniques | Class Hours Interview |
| 10. Week | Gauss Elimination and Gauss-Jordan methods | Class Hours Interview |
| 11. Week | Gauss Elimination and Gauss-Jordan methods | Class Hours Interview |
| 12. Week | Using inverse matrix to solve linear equation systems | Interview Class Hours |
| 13. Week | Cramer method | Interview Class Hours |
| 14. Week | General evaluation | Interview Class Hours |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | They know and apply contemporary teaching methods and techniques, assessment and evaluation methods. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Quiz | 10.00 | |
| Prof. Dr. ŞAHİN DANİŞMAN | Final | 40.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 13 | 2 | 26 |
|
Ders Dışı |
Preparation, After Class Study | 13 | 2 | 26 |
|
Sınavlar |
Midterm 1 | 1 | 10 | 10 |
| Quiz 1 | 1 | 4.5 | 4.5 | |
| Final | 1 | 10 | 10 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
