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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 433ABSTRACT ALGEBRA4 + 07th Semester8

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective The aim of the course is to give fundamental concepts of algebraic systems and to improve the ability of students on abstract concepts. .
Course Content Groups, Cyclic Groups, Cosests, Free Abelian Groups, P-Groups, Sylow’s Theorems. .
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Defines the fundementel algebra structures.
2Defines the concept of the group, subgroup, cyclic group and subnormal groups, gives examples and proves the related theorems.
3Knows the concepts of division group, symmetric group and group homomorphisms.
4Knows the p-groups, Sylow theorems and solves the related examples.
5Knows the concepts of the rings and ideals and by the help of them defines the division rings.
6Knows the concepts and poprties of the integral domains and fields.
7Defines the ring homomorphism and knows the differences between the ring and group homomorphisms.
8Knows the concepts and properties of prime and maximal ideals.
9Gains the power to make comment on the information learned.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001 5        
LO 002 44       
LO 003 44       
LO 004 4     5  
LO 005 5     4  
LO 006 4     5  
LO 007 5     4  
LO 008 4     5  
LO 009     3 4  
Sub Total 358  3 27  
Contribution0410000300

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14456
Hours for off-the-classroom study (Pre-study, practice)14342
Mid-terms15252
Final examination15858
Total Work Load

ECTS Credit of the Course






208

8
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Fall1MUSTAFA AŞCI


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 433 ABSTRACT ALGEBRA 4 + 0 1 Turkish 2020-2021 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. MUSTAFA AŞCI masci@pau.edu.tr FEN A0313 %60
Goals The aim of the course is to give fundamental concepts of algebraic systems and to improve the ability of students on abstract concepts. .
Content Groups, Cyclic Groups, Cosests, Free Abelian Groups, P-Groups, Sylow’s Theorems. .
Topics
WeeksTopics
1 THE USE OF TECHNOLOGY IN ALGEBRA, GAP
2 RELATIONS
3 FUNCTIONS AND MATRICES
4 INTEGERS AND ITS PROPERTIES
5 MODULAR ARITHMETICS
6 GROUPS
7 SUBGROUPS
8 PERMUTATION GROUPS
9 CYCLIC GROUPS
10 HOMOMORPHISMS AND ISOMORPHISMS
11 COSETS AND LAGRANGE THEOREM
12 NORMAL SUBGROUPS
13 P-GROUPS AND SYLOW THEOREMS
14 FINITE ABLIAN GROUPS
Materials
Materials are not specified.
Resources
ResourcesResources Language
1) Cebire Giriş, Ahmet Arıkan, Sait Halıcıoğlu, 2014, AnkaraTürkçe
2) Örneklerle soyut Cebir, Fethi ÇallıalpTürkçe
3)Algebra,T. W. Hungerford, 1973English
4)Cebire Giriş, Ahmet Sinan Çevik,2010Türkçe
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