Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
210300403101		Compulsory	2	3	5

Level of Course Unit

First Cycle

Objectives of the Course

This course aims to teach students the applications of linear algebra in other branches of science by providing students with basic linear algebra knowledge.

Name of Lecturer(s)

Dr. Öğr. Üyesi Ezgi AYDEMİR

Learning Outcomes

1	Learns the concept of matrix and operations on matrices.
2	Understands determinants and their properties.
3	Learns matrix ranks and matrix inverses.
4	Learns elementary row-column operations and where they are used.
5	Understands systems of linear equations and their solutions.

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Matrices, Matrix Algebra, Some special matrices, Elementary line operations and determinants, Permanents, Linear Equation Systems and Solutions.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Equality, sum, multiplication of matrices	Question solution
2	Matrix multiplication by dividing into blocks, Hadamard multiplication, Kronecker multiplication, transpose of a matrix	Question solution
3	Some special matrices, relations involving special matrices, trace of the matrix, properties of the trace
4	Inverse matrices, zero divisor matrices
5	Elementary row and column operations
6	Elementary matrices and elementary row column operations using elementary matrices
7	Equivalent matrices, permutations
8
9	Elementary properties of determinants, calculation of minors and determinants
10	Determinant calculation with permutations, determinant of multiplication, Sarrus rule
11	Finding the inverse matrix
12	Linear Equation systems and matrices
13	Rank of a matrix, finding matrix rank with elementary row operations
14	Criteria and solution methods for the existence of solutions to systems of linear equations
15	Homogeneous linear equation system solutions and sample problems

Recommended or Required Reading

Lineer cebir, Dursun TAŞCI, Ankara 2012

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	70
Homework	1	30
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		50
End Of Term (or Year) Learning Activities		50
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1.5	1.5
Attending Lectures	14	3	42
Question-Answer	14	3	42
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	35	35
Homework	1	15	15
TOTAL WORKLOAD (hours)			156.5

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	4	4	4	4	4	4	4	4	4	4
LO2	4	4	4	4	4	4	4	4	4	4
LO3	4	4	4	4	4	4	4	4	4	4
LO4	4	4	4	4	4	4	4	4	4	4
LO5	4	4	4	4	4	4	4	4	4	4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High