APPLIED MATHEMATICS (TURKISH, THESIS)
Master	TR-NQF-HE: Level 7	QF-EHEA: Second Cycle	EQF-LLL: Level 7

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MAT5001	Abstract Algebra I	Fall	3	0	3	8

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	Turkish
Type of course:	Departmental Elective
Course Level:
Mode of Delivery:	Face to face
Course Coordinator :	Assoc. Prof. ATABEY KAYGUN
Recommended Optional Program Components:	None
Course Objectives:	To prepare the graduate students to higher level graduate mathematics courses.

Learning Outcomes

The students who have succeeded in this course;
A student who passes this course successfully will have acquired enough background in basic group theory to be able to follow higher level graduate mathematics classes on the subject.

Course Content

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Set theory. Functions and relations. Induction and recursion.
2)	Groups. Matrix groups. Subgroups of matrix groups.
3)	Symmetric groups and their subgroups.
4)	Groups by generators and relations. Reduced words.
5)	Abelian groups and classification of finite abelian groups.
6)	Vector space over finite fields and matrix groups over finite fields.
7)	Finite groups of Lie type.
8)	Combinatrics and counting problems in finite groups of Lie type.
9)	Group actions and orbits.
10)	Sylow Theorems.
11)	Sylow Theorems.
12)	Selected topics from groups theory.
13)	Selected topics from groups theory.
14)	Selected topics from groups theory.

Sources

Course Notes / Textbooks:	Instructor's own lectures notes. S. Lang, "Algebra"
References:

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Project	1	% 20
Midterms	2	% 40
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Study Hours Out of Class	14	6	84
Presentations / Seminar	1	1	1
Project	1	40	40
Midterms	2	10	20
Final	1	13	13
Total Workload			200

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

Program Outcomes

Level of Contribution