COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 521RING THEORY I3 + 02nd Semester6

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 Sentence Classes, Relations and Discretizations, Products, Integers, Axiom of Choice, Zorn's Lemma, Cardinal Numbers, Semi-Groups, Monoids and Group, Homomorphism, Sub and Cyclic Groups, Cosets and Numeration, Normality, Division Groups, Dihedral Groups, Categories, Direct Products and Sums, Abel Groups, Krull-Schmidt's Theorem, Effect of Group, Sylow's Theorems, Classification of Finite Groups, Nilpotent.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns the concepts of Sentence Classes, Relations and Discretizations.
2Knows the Products, Integers, Axiom of Choice, Zorn's Lemma.
3Knows the production of cardinal numbers.
4Learns te concepts of Semi-Groups, Monoids and Group, Homomorphism.
5Knows the definitions and relations between Sub and Cyclic Groups, Cosets and Numeration, Normality, Division Groups.
6Realizes the Dihedral Groups, Categories, Direct Products and Sums, Abel Groups.
7Knows the Krull-Schmidt's Theorem, Effect of Group and can prove the Sylow theorem.
8Knowsthe concepts of Classification of Finite Groups and Nilpotent.

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Total Work Load

ECTS Credit of the Course






156

6

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