| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Linear Algebra II | MAE202 | 4. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) |
ŞAHİN DANİŞMAN |
| Assistants | |
| 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 |
| Learning Outcomes |
- Student finds a basis and the dimension of a given vector space. - Student computes the corresponding matrix to a given linear function - Student computes the aigen values and their corresponding aigen vectors. - Student finds an orthonormal basis for a given vector space - Student diagonalizes a given matrix. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Vector spaces | Verbal Expression Course Hours |
| 2. Week | Subspaces, stretching | Verbal Expression Course Hours |
| 3. Week | Base and size | Course Hours Verbal Expression |
| 4. Week | Linear transformations | Course Hours Verbal Expression |
| 5. Week | Linear functions | Verbal Expression Course Hours |
| 6. Week | Kernel and image of a linear transformation | Course Hours Verbal Expression |
| 7. Week | Isomorphies | Course Hours Verbal Expression |
| 8. Week | Midterm | |
| 9. Week | Eigenvalues and eigenvectors | Verbal Expression Course Hours |
| 10. Week | Characteristic and minimal polynomials | Course Hours Verbal Expression |
| 11. Week | Diagonalization | Verbal Expression Course Hours |
| 12. Week | Inner product spaces | Course Hours Verbal Expression |
| 13. Week | Orthogonality of vectors | Course Hours Verbal Expression |
| 14. Week | Final | Course Hours Verbal Expression |
| Lineer Cebir Cilt: 2, H. Hilmi Hacısalihoğlu, Hacısalihoğlu Yayınları |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| 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 | 13 | 2 | 26 |
| Verbal Expression | 10 | 2 | 20 |
| 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 | ||
| ECTS Credit of the Course | 3.0 | ||
