
| Course Code | : İMÖ254 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 0 |
| Credit | : 2 |
| Lab | : 0 |
| ECTS | : 2 |
To teach students the basic concepts of linear algebra such as vector spaces, linear independence, base, dimension, inner product spaces, linear transformation, eigenvalue, eigenvector and diagonalization.
Vector spaces, subspaces, linear independence, linear combinations. Stretching, base and dimension. Linear transformations, nucleus and image of a linear transformation. Isomorphisms, eigenvalues and eigenvectors. Characteristic polynomials. Diagonalization, inner product spaces, orthogonality of vectors, orthonormal vector sets.
| Lec. Serhan ULUSAN |
| 1. | Students will explain vector spaces and their properties. |
| 2. | Students will express the concepts of linear independence and dependence. |
| 3. | Students will express the concepts of base and dimension. |
| 4. | Students will explain the concept of eigenvalue and eigenvector. |
| 5. | Students will define the inner product. |
| 6. | Students will define the concept of orthogonality and its basic properties. |
| 1. | Seymour Lipschutz, Marc Lars Lipson, İlker Akkuş, Lineer Cebir, Nobel Akademik Yayıncılık, 2013. |
| 2. | H.Hilmi Hacısalihoğlu (2000) Lineer Cebir I, , Hacısalihoğlu Yayıncılık. |
| 3. | Bernard Kolman; (2004) Elementary Linear Algebra; Fifth Edition. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Individual Work | 7 | 0 | 1 | 7 |
| Midterm Examination | 1 | 4 | 2 | 6 |
| Final Examination | 1 | 7 | 2 | 9 |
| TOTAL WORKLOAD (hours) | 50 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | |
OÇ-1 | 3 | 4 | 4 | 5 | 4 | 4 | 1 | 1 | |||||
OÇ-2 | 4 | 4 | 3 | 4 | 4 | 3 | 1 | 1 | |||||
OÇ-3 | 4 | 5 | 4 | 5 | 4 | 4 | 1 | 1 | |||||
OÇ-4 | 4 | 5 | 5 | 5 | 4 | 4 | 1 | 1 | |||||
OÇ-5 | 3 | 4 | 4 | 3 | 2 | 2 | 1 | 1 | |||||
OÇ-6 | 4 | 4 | 3 | 4 | 4 | 3 | 1 | 1 | |||||