Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
To improve the ability of abstract thinking, by intensifying the concepts of matrices and determinants and the solutions of systems of linear equations to create the basis for algebra classes.
Course Content
Matrices, Matrix operations, special type matrices; elementary row and column operations, echelons matrix, elementary matrix and the inverse of a matrix; the rank of a matrix; determinant, properties of determinant function; systems of linear equations, solution techniques (Gauss elimination, Gauss-Jordan reduction method, inverse matrix, and Cramer method)
Required Resources
1. Göksel AĞARGÜN, Hülya BURHANZADE Lineer Cebir ve Çözümlü Problemleri, Birsen Yayınevi, 2017.
2.Bernard Kolman, David R. Hill, Uygulamalı Lineer Cebir, Palme Yayıncılık, 2010.
3. Salim Yüce, Lineer Cebir, Pegem Akademi, Ankara, 2015
Recommended Resources
4. Hacısalihoğlu, H.H., Lineer Cebir I ,Bilim Yayınları, Ankara,2000
5 .Lineer Cebir,(2. baskıdan çeviri ),Schaum's outlines Series, Nobel Yayın Dağıtım,Ankara ,1990
6.Arif Sabuncuoğlu, Lineer Cebir,Nobel Yayınları ,Ankara ,2008
7.Kenneth Kuttler , An introduction to lineer algebra, 2009
blishing Company New York,1979
Rules
In order to calculate the student's grade, the final grade must be at least 30 points. in addition to this in order to enter the final exam, also the attendance must be at least 70%.
Course Learning Outcomes
- The student knows how to find inverse of a given matrix.
- The student solves system s of linear equations using matrices and determinants.
- The student understands the relation between matrices and linear systems
- The student applies solution techniques to linear equation systems
- The student knows the relationship between rank of matrix, determinants and invertibility
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 14 | 2 | 28 |
| Out of Class Study Period | 13 | 2 | 26 |
| Midterm | 1 | 11 | 11 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 10 | 10 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Matrices and matrix types | A preliminary study on the relevant chapter |
| 2 | Matrix operations and elementary row/column operations | A preliminary study on the relevant chapter |
| 3 | Types of Matrix | A preliminary study on the relevant chapter |
| 4 | Elementary row and column operations, Echelon matrix | A preliminary study on the relevant chapter |
| 5 | rank of a matrix | A preliminary study on the relevant chapter |
| 6 | Inverse of a matrix | A preliminary study on the relevant chapter |
| 7 | Determinants and properties of determinant functions | A preliminary study about the related section |
| 8 | midterm | |
| 9 | Determinants and properties of determinant functions | A preliminary study on the relevant chapter |
| 10 | Finding the inverse of a matrix using the adjoint matrix method | A preliminary study on the relevant chapter |
| 11 | Determinant applications | A preliminary study on the relevant chapter |
| 12 | Systems of linear equations, Gauss elimination, Gauss-Jordan reduction | A preliminary study on the relevant chapter |
| 13 | Systems of linear equations, Gauss elimination, Gauss-Jordan reduction | A preliminary study on the relevant chapter |
| 14 | Methods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrix | Methods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrix |
| 15 | Methods for solving systems of linear homogeneous equations Cramer method, Solving by inverse of coefficient matrix | A preliminary preparation from essential source 1 about the relevant section. |
| 16 | Final | Final |


