Dokuz Eylül University Information Package / Courses Catalog

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type Of Course	D	U	L	ECTS
IMÖ 2003	LINEAR ALGEBRA I	COMPULSORY	3	0	0	4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To develop the understanding of students about the concept and process of the linear algebra. At the end of this course students will attain the required knowledge of the linear algebra and solve the problems.

Learning Outcomes of the Course Unit

1	Will be able to add, multiply and calculate the value of the determinant using determinants.
2	Will be able to perform defined operations on matrices.
3	Will be able to apply row and column operations to a matrix.
4	Will be able to explain systems of equations with two and three unknowns geometrically.
5	Will be able to solve systems of equations using Gauss elimination and Gaus-Jordan methods.
6	Will be able to solve systems of equations using inverse matrix and Cramer methods.
7	Will be able to examine the relationships of planes with each other using systems of linear equations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	History, definition and properties of linear equation systemsRank of a matrix, writing a matrix in canonical (echelon) form, elementary row operations on matrices.Rank of a matrix, writing a matrix in canonical (echelon) form, elementary row operations on matrices.Determinant function and its properties
2	Sarrus and Laplace Rules for calculating the value of the determinant.
3	Definition of matrix, general properties and addition and multiplication operations in matrices
4	Matrix types and properties
5	Powers of matrices, finding the inverse of a matrix
6	Adjoint matrix and its properties, finding the inverse of a matrix with the help of an adjoint matrix.
7	Rank of a matrix, writing a matrix in canonical (echelon) form, elementary row operations on matrices.
8	Midterm exam
9	History, definition and properties of linear equation systems
10	Gauss elimination, Gauss-Jordan Reduction Methods for solution methods of systems of linear equations.
11	Homogeneous linear equation systems and solution methods
12	Inverse Matrix and Cramer Methods for solution methods of systems of linear equations.
13	Non-homogeneous linear equation systems and solution methods
14	Examining the relationships of planes with each other by using linear equation systems
15	Final exam

Recomended or Required Reading

1-Lineer Cebir/Schaum's Outlines (2000), Seymour Lipschutz,
2-Prof.Dr.Mustafa Özdemir, Lineer Cebir ve Çözümlü Problemler(2018),
3-C.H,,Edwards ,E.David Penney,Elementery Linear Algabra,
4-Yrd.Doç.Dr.Nezahat Çetin,Öğr.Gör.Dr.Nevin Orhun,Lineer Cebir
5-Prof.Dr.Fügen Torunbalcı Aydın ,Lineer Cebir
6-Bernard Kolman Linear Algabra
H.Hilmi Hacısalihoğlu,Lineer Cebir Çöxümlü Problemleri
7-Prof.Dr.Arif Sabuncuoğlu,Çözümlü Lineer Cebir Alıştırmaları.
8-Dr.Öğr.Üyesi.Furkan Yıldırım,Lineer Cebir.
9-Marcell B.Fınan ,Çeviri Prof.Dr.Metin Yaman,Linner Cebirin Temelleri
10-Prof.Dr.Özlem Güney,Prof.Dr.Sedat Ilhan,Temel Teori ve Çözümlü Problemlerle Lineer Cebir.

Planned Learning Activities and Teaching Methods

Direct Instruction, questioning, discovery learning.

Assessment Methods

SORTING NUMBER	SHORT CODE	LONG CODE	FORMULA
1	VZ	Midterm
2	FN	Semester final exam
3	BNS	BNS	Student examVZ * 0.40 + Student examFN * 0.60
4	BUT	Make-up note
5	BBN	End of make-up grade	Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof.Dr.Süha Yılmaz
Dokuz Eylül University
Buca Educations Deparment of Science and Mathematics
e-mail::suha.yilmaz@deu.edu.tr
tel:05057061973

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	13	3	39
Preparations before/after weekly lectures	1	5	5
Preparation for midterm exam	1	5	5
Preparations before/after weekly lectures	13	3	39
Midterm	1	1	1
Final	1	1	1
TOTAL WORKLOAD (hours)			90

Contribution of Learning Outcomes to Programme Outcomes

PO/LO	PO.1	PO.2	PO.3	PO.5	PO.6	PO.7	PO.8	PO.9	PO.10	PO.11	PO.12	PO.13	PO.14	PO.15
LO.1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.2	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.3	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.4	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.5	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.6	1	1	1	1	1	1	1	1	1	1	1	1	1	1
LO.7	1	1	1	1	1	1	3	1	1	1	1	1	1	1

COURSE UNIT TITLE

DEGREE PROGRAMMES

Description of Individual Course Units

Offered By

Level of Course Unit

Course Coordinator

Offered to

Course Objective

Learning Outcomes of the Course Unit

Mode of Delivery

Prerequisites and Co-requisites

Recomended Optional Programme Components

Course Contents

Recomended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods

Further Notes About Assessment Methods

Assessment Criteria

Language of Instruction

Course Policies and Rules

Contact Details for the Lecturer(s)

Office Hours

Work Placement(s)

Workload Calculation

Contribution of Learning Outcomes to Programme Outcomes

CONTACT INFORMATION