| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Lineer Algebra 1 | IMO105 | Compulsory | Bachelor's degree | 1 | Fall | 5 |
Name of Lecturer(s)
Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Ayşe Arzu ARI
Learning Outcomes of the Course Unit
1) Explains matrices and systems of linear equations.
2) Solves linear systems of equations with elementary operations.
3) Solves linear system of equations with Gauss-Jordan elimination method.
4) Defines vector spaces and their properties.
5) Linear independence, linear dependency, base, dimensional concepts apply to problems.
6) Isomorphism applies to problems.
7) It applies the rank of a matrix to problems.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | No relation | High | High | High | High | High | High | High | High | High | High | High | High | |
| 2 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 3 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 4 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 5 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 6 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 7 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
yok
Course Contents
Matrices, operations on matrices, special types of matrices; elementary operations, scalar matrix, elemental matrices and the inverse of a matrix, the rank of a matrix; determinant, properties of determinant function; linear equations systems, methods of solving linear equations systems (Gauss elimination, Gauss-Jordan reduction, inverse matrix and Cramer method).
Weekly Schedule
1) Introduction to Linear Algebra2) Vectors and Spatial Vectors
3) Algebra of Matrices
4) Algebra of Matrices
5) Systems of Linear Equations
6) Systems of Linear Equations
7) Application and General Review
8) Midterm
9) Vector Spaces
10) Vector Spaces
11) Linear Mappings
12) Linear Mappings
13) Linear Mappings and Matrices
14) Inner Product Spaces, Orthogonality
15) Inner Product Spaces, Orthogonality
16) Application and General Review
Recommended or Required Reading
1- Lineer Cebir, SCHAUM's Outlines, Yrd. Doç. Dr. İlker AKKUŞ, 2013, Ankara
2- Lineer Cebir, Prof. Dr. Fevzi Başar, Sürat yayınları, 2012, İstanbul
3- Lineer Cebir, Prof. Dr. Hilmi Hacısalihoğlu, Gazi Üniversitesi yayınları, Ankara, 1985
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Self Study
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required