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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 518GROUP THEORY I3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Doctorate 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.
Mode of Delivery Face to Face

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

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 45   5
LO 0024  5   4
LO 0035 44   5
LO 0045  4   4
Sub Total19 818   18
Contribution50250005

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1MUSTAFA AŞCI
Details 2022-2023 Spring1SERPİL HALICI
Details 2017-2018 Fall1MUSTAFA AŞCI
Details 2016-2017 Spring1CANAN CELEP YÜCEL
Details 2013-2014 Spring1CANAN CELEP YÜCEL
Details 2012-2013 Spring1CANAN CELEP YÜCEL
Details 2011-2012 Spring1CANAN CELEP YÜCEL


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 518 GROUP THEORY I 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. MUSTAFA AŞCI masci@pau.edu.tr FEN A0204 %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
WeeksTopics
1 Semi-Groups and Monoids
2 Semi-Groups and Monoids
3 Homomorphisms
4 Subgroups
5 Cyclic groups
6 Cyclic groups
7 Semi-sets
8 Semi-sets
9 intermediate
10 Dihedral Groups
11 Dihedral Groups
12 Direct Pruduct
13 Direct Sums
14 Direct Sums
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes