Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
To teach the basis for geometry and algebra courses by teaching the concepts like vector spaces, linear independence, and linear transformations.
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; Eigen values and Eigen vectors; characteristic polynomials; diagonalization
Required Resources
Ağargün G, Burhanzade Hülya, Lineer Cebir ve Çözümlü Problemleri, Birsen Yayınevi, 2019.
Hacısalihoğlu, H.H., Lineer Cebir I ,Bilim Yayınları, Ankara,2000
Lineer Cebir,(2. baskıdan çeviri ),Schaum's outlines Series, Nobel Yayın Dağıtım,Ankara ,1990
Recommended Resources
Arif Sabuncuoğlu, Lineer Cebir,Nobel Yayınları ,Ankara ,2008
Kenneth Kuttler , An introduction to lineer algebra, 2009
Salim Yüce, Lineer Cebir, Pegem Akademi, Ankara, 2015
Course Learning Outcomes
- Establishes a relationship between daily life events and linear algebra.
- 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.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 8 | 1 | 8 |
| Midterm | 1 | 4 | 4 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 6 | 6 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Meeting, Discussing teaching and general expectations, Introduction to Vectors | A preliminary study on the relevant chapter |
| 2 | Vectors | A preliminary study on the relevant chapter |
| 3 | Vector Spaces | A preliminary study on the relevant chapter |
| 4 | Subvector Spaces | A preliminary study on the relevant chapter |
| 5 | Linear combinations and Span | A preliminary study on the relevant chapter |
| 6 | Linear İndependency | A preliminary study on the relevant chapter |
| 7 | Base and dimension of a vector space | A preliminary study on the relevant chapter |
| 8 | Coordinates and Transition Matrices | A preliminary study on the relevant chapter |
| 9 | Ramadan Kareem | A preliminary study on the relevant chapter |
| 10 | Midterm | Vize |
| 11 | Linear transformations and İsomorphisms | A preliminary study on the relevant chapter |
| 12 | Kernel and image of a linear transforamation | A preliminary study on the relevant chapter |
| 13 | 1 May | 1 May |
| 14 | Eigenvalues and eigenvectors | A preliminary study on the relevant chapter |
| 15 | Characteristic Polynomials, Cayley Hamilton Theorem | A preliminary study on the relevant chapter |
| 16 | Final exam | Final Exam |