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 2004	LINEAR ALGEBRA II	COMPULSORY	3	0	0	3

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	Make applications related to eigenvalues and eigenvectors.
2	Explain the basic concepts of vector spaces, metric spaces and inner product spaces and apply the Gram-Schmidt Orthogonalization process.
3	Perform operations related to base, dimension and stretch axiom.
4	Solve operations using base change.
5	Make applications related to linear transformations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Characteristic polynomials, Cayley-Hamilton Theorem, eigenvalues and eigenvectors.
2	Vector spaces, inner product spaces, metric spaces and their properties.
3	Subvector spaces.
4	Linear dependence and linear independence.
5	Linear combinations (components).
6	Span axiom, basis and dimension.
7	Orthonormal vector systems and Gramm-Schmidt Method.
8	Midterm exam.
9	Affine space and its basic properties.
10	Relations between affine coordinates and orthogonal coordinates
11	Linear transformations and basic properties.
12	Kernel and image of a linear transformation.
13	Changes of basis and applications.,Linear forms
14	Changes of basis and applications.,Linear forms
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

Midterm exam, paper/presentation and final exam

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Süha Yılmaz
Dokuz Eylül University Buca Educations Faculty
Deportment of Science and Mathematics
e-mail:suha.yilmaz@deu.edu.tr
tel:0505706197

Office Hours

Will be announced at the begining of the semester.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	13	3	39
Preparation for midterm exam	1	10	10
Preparation for final exam	1	10	10
Preparations before/after weekly lectures	13	1	13
Final	1	1	1
Midterm	1	1	1
TOTAL WORKLOAD (hours)			74

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	3	2	3	3	2	3
LO.2	1	1	1	1	1	1	1	1	3	2	3	3	2	3
LO.3	1	1	1	1	1	1	1	1	3	2	3	3	2	3
LO.4	1	1	1	1	1	1	1	1	3	2	3	3	2	3
LO.5	1	1	1	1	1	1	1	1	3	2	3	3	2	3

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