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
170300401302	LINEAR ALGEBRA I	Compulsory	2	3	5

Level of Course Unit

First Cycle

Objectives of the Course

This course introduce students to matrices, equation systems and vector spaces. It aims to develop skills such that reducing sophisticated problems to a single system of linear equation and simplifying many applied problems by changing bases of vector spaces.

Name of Lecturer(s)

Dr. Öğr. Üyesi Ezgi KAYA

Learning Outcomes

1	Learn the basic concepts of matrix algebra, apply operations on matrices are defined.
2	Calculate the determinant using the properties of the determinant of a matrix.
3	Can understand linearly independent, linearly dependent, and span sets.

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, Vector Spaces, Sub-Vector Spaces, Linear Dependency and Independence, Base and Dimension, Dual Spaces, Base Changes, Direct Sums

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Matrices
2	The Algebra of Matrices
3	Some Special Matrices
4	Elemantary Row Operations and Its Applications
5	Determinants
6	Permanents
7	The Systems of Linear Equations and Solutions
8	middle term
9	Vector Spaces
10	Subvector Spaces
11	Linear Depence and Linear indepence
12	Bases and Dimension
13	Dual Spaces
14	The Change of Bases
15	Final Exam

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	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	14	3	42
Question-Answer	14	3	42
Individual Study for Mid term Examination	1	25	25
Individual Study for Final Examination	1	35	35
TOTAL WORKLOAD (hours)			147

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

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