| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra II | MAE202 | Turkish | Compulsory | 4. 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) | |
| Goals | To create basis for geometry classes by teaching the conceps like vector spaces, linear independence and inner product spaces. |
| Course Content | Vector spaces and subspaces; linear independence, and linear combinations; concepts of span, basis and dimension; linear functions and their kernels and ranges; isomorphisms; inner product spaces, orthogonal vectors and orthonormal vector sets; aigen values and aigen vectors; characteristic polynomials; diagonalization |
| # | Öğrenme Kazanımı |
| 1 | Student finds a basis and the dimension of a given vector space. |
| 2 | Student computes the corresponding matrix to a given linear function |
| 3 | Student computes the aigen values and their corresponding aigen vectors. |
| 4 | Student finds an orthonormal basis for a given vector space |
| 5 | Student diagonalizes a given matrix. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Vector spaces | Interview |
| 2. Week | Subspaces, stretching | Interview |
| 3. Week | Base and size | Interview |
| 4. Week | Linear transformations | Interview |
| 5. Week | Linear functions | Interview |
| 6. Week | Kernel and image of a linear transformation | Interview |
| 7. Week | Isomorphies | Interview |
| 8. Week | Midterm | |
| 9. Week | Eigenvalues and eigenvectors | Interview |
| 10. Week | Characteristic and minimal polynomials | Interview |
| 11. Week | Diagonalization | Interview |
| 12. Week | Inner product spaces | Interview |
| 13. Week | Orthogonality of vectors | Interview |
| 14. Week | Final | Interview |
| 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 |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 13 | 2 | 26 |
|
Ders Dışı |
Interview | 10 | 2 | 20 |
|
Sınavlar |
Midterm 1 | 1 | 1 | 1 |
| Midterm 2 | 1 | 5.5 | 5.5 | |
| Homework 1 | 1 | 5 | 5 | |
| Homework 2 | 1 | 1 | 1 | |
| Quiz 1 | 1 | 1 | 1 | |
| Final | 1 | 1 | 1 | |
| Practice | 2 | 3 | 6 | |
| Classroom Activities | 2 | 5 | 10 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
