| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Linear Algebra | FEF103 | Compulsory | Bachelor's degree | 2 | Spring | 3 |
Name of Lecturer(s)
Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Prof. Dr. İrem BAĞLAN
Prof. Dr. Ali DEMİR
Prof. Dr. Vildan GÜLKAÇ
Prof. Dr. Çiğdem GÜNDÜZ
Prof. Dr. Zahir MURADOĞLU
Prof. Dr. Neşe ÖMÜR
Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Arzu AKGÜL
Associate Prof. Dr. Mine Aylin BAYRAK
Associate Prof. Dr. Arzu COŞKUN
Associate Prof. Dr. Selda ÇALKAVUR
Associate Prof. Dr. Vildan ÇETKİN
Associate Prof. Dr. Evrim GÜVEN
Associate Prof. Dr. İlim KİŞİ
Associate Prof. Dr. Hülya KODAL SEVİNDİR
Associate Prof. Dr. Sibel KOPARAL
Associate Prof. Dr. Günay ÖZTÜRK
Associate Prof. Dr. Banu PAZAR VAROL
Associate Prof. Dr. Yücel TÜRKER ULUTAŞ
Assistant Prof. Dr. Metin BAYRAK
Assistant Prof. Dr. Ahmet ZOR
Lecturer Aynur ERDEK
Lecturer Mevlüt SEVİNDİR
Research Assistant Ebru AYDOĞDU
Research Assistant Dr. İrem ÇAY
Research Assistant Dr. Gülcan ÖZKUM
Learning Outcomes of the Course Unit
1) Identify fundamental notions on linear algebra
2) Do algebraic calculations with matrices
3) Define transpose, minor, cofactor, adjoint, matrix varieties (symmetric, idempotent, etc)
4) State the methods to find the inverse of a matrix
5) Calculate the determinant of a matrix
6) Determine the rank of a given matrix
7) State solution methods of linear systems via matrices and determinants
8) State definition of a vector space, linear independancy, basis and dimension notions
9) Calculate eigenvalues and eigenvectors
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 2 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 3 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 4 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 5 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 6 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 7 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 8 | Low | Low | Low | Low | Low | Low | Low | Low | Low | High | Low | |
| 9 | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | Low | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
This lesson covers fundamental notions, linear systems and solutions via Gaussian method, matrices and algebraic calculations, varieties of matrices, transpose, inverse, determinant of a matrix, equivalent matrices, rank notion, minor and cofactor notions,solution of linear systems via matrices and determinant methods, MATLAB presentations,vector spaces, linear independency, basis and dimension, eigenvalues and eigenvectors.
Weekly Schedule
1) Fundamental notions2) Linear systems and solutions via Gaussian method
3) Linear systems and solutions via Gaussian method
4) Matrices and algebraic calculations by matrices
5) Types of matrices (symmetric, nilpotent, etc), transpose of a matrix
6) minor and cofactor, equivalent matrices notions and inverse of a matrix
7) Determinant and its properties
8) Midterm examination/Assessment
9) Equivalent matrices, rank notion of a matrice
10) Solution of linear systems via matrices and determinant methods
11) Solution of linear systems via matrices and determinant methods
12) Solution of linear systems via matrices and determinant methods
13) MATLAB representations, vector spaces
14) Vector spaces, linear dependent and independent vectors
15) Basis and dimension of vector space, eigenvalues and eigenvectors
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Modelling
3) Group Study
4) Lab / Workshop
5) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
20% |
|---|---|
Contribution of Final Examination to Course Grade |
80% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required