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 3006	ALGEBRA	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 SERKAN NARLI

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

Learning the concept of operation (especially binary internal operation) and with the help of it, defining the group (and subgroup) structure, internalizing different group types (cyclic, symmetrical, etc.) and determining homomorphism and its types.

Learning Outcomes of the Course Unit

1	1. To know the basics of sets, relations, functions, and binary operations.
2	2. To understand the features of the operation.
3	3. To explain the concept of group and subgroup and give examples of systems.
4	4. Expressing subgrouping theorems and Lagrange's Theorem.
5	5. To be able to define the cyclic group and symmetric group concepts and the normal subgroup and homomorphism types.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week	Subject	Description
1	Operation Concept
2	Features of the operation
3	Group, order of group, Group examples
4	order of an element in a group, subgroups
5	Subgrouping theorems, Lagrange's theorem, Examples of subgroups
6	Cyclic group
7	Z*n multiplicative cyclic groups
8	Midterm exam
9	Symmetric Groups
10	Representation of cycles in symmetric groups
11	Dihedral groups
12	Homomorphisms and their types
13	Cosets, normal subgroups
14	Definitions of Ring and Field Concepts
15	Final Exam

Recomended or Required Reading

Mehmet Terziler (çevirmen), Tahsin Öner(çevirmen) (2013). Soyut Cebire Giriş (John Fraleigh) Palme Yayıncılık
Çallıalp, F. (1995), Cebir, Sakarya Üniversitesi Matbaası, Sakarya.

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving, active learning techniques, group work.

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)

serkan.narli@deu.edu.tr

Office Hours

Dönem başında ilan edilecektir.

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Lectures	13	3	39
Preparations before/after weekly lectures	13	2	26
Preparation for midterm exam	1	5	5
Preparation for final exam	1	5	5
Midterm	1	1	1
Final	1	1	1
TOTAL WORKLOAD (hours)			77

Contribution of Learning Outcomes to Programme Outcomes

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

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