PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 518	GROUP THEORY I	3 + 0	2nd Semester	7,5

COURSE DESCRIPTION

Course Level	Master's Degree
Course Type	Elective
Course Objective	The aim of the course is to give fundumental concepts of algebraic systems and to improve the reasoning ability of students on abstract notion.
Course Content	Semi-Groups and Monoids, Homomorphisms and Subgroups, Cyclic Groups, Semi-Sets, Normal Alternating Dihedral Groups, Direct Pruduct and Direct Sums.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Learns the Semi-Groups and Monoids, knows the examples.
2	Recognizes the concepts of homomorphisms subgroups.
3	Knows the concepts of Cyclic Groups, Normal groups, Normal Alternating Dihedral Groups and proves the theorems.
4	Studies the Direct Pruduct and Direct Sums and proves the theorems.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08
LO 001	5		4	5				5
LO 002	4			5				4
LO 003	5		4	4				5
LO 004	5			4				4
Sub Total	19		8	18				18
Contribution	5	0	2	5	0	0	0	5

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	7	98
Assignments	1	5	5
Mid-terms	1	15	15
Final examination	1	35	35
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
MAT 518	GROUP THEORY I	3 + 0	1	Turkish	2025-2026 Spring	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. MUSTAFA AŞCI	masci@pau.edu.tr		Course location is not specified.	%70

Goals		The aim of the course is to give fundumental concepts of algebraic systems and to improve the reasoning ability of students on abstract notion.
Content		Semi-Groups and Monoids, Homomorphisms and Subgroups, Cyclic Groups, Semi-Sets, Normal Alternating Dihedral Groups, Direct Pruduct and Direct Sums.

Topics

Materials

Materials are not specified.

Resources

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student