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 Class Hours |
2. Week | Subspaces, stretching | Class Hours Interview |
3. Week | Base and size | Class Hours Interview |
4. Week | Linear transformations | Interview Class Hours |
5. Week | Linear functions | Interview Class Hours |
6. Week | Kernel and image of a linear transformation | Interview Class Hours |
7. Week | Isomorphies | Interview Class Hours |
8. Week | Midterm | |
9. Week | Eigenvalues and eigenvectors | Class Hours Interview |
10. Week | Characteristic and minimal polynomials | Interview Class Hours |
11. Week | Diagonalization | Class Hours Interview |
12. Week | Inner product spaces | Class Hours Interview |
13. Week | Orthogonality of vectors | Interview Class Hours |
14. Week | Final | 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 |
|
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 |