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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 521RING THEORY I3 + 01st Semester7,5

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 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
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 45  4 
LO 0024 45   4
LO 0034 54  4 
LO 0045 44  5 
LO 0055 45   4
LO 0064 54  5 
LO 0074 44   5
LO 0085  5    
Sub Total36 3036  1813
Contribution50450022

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 2020-2021 Spring1ŞAHİN CERAN
Details 2017-2018 Spring1CANAN CELEP YÜCEL
Details 2016-2017 Spring1ŞAHİN CERAN
Details 2013-2014 Fall1CANAN CELEP YÜCEL
Details 2012-2013 Fall1CANAN CELEP YÜCEL
Details 2011-2012 Spring1MUSTAFA AŞCI


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 521 RING THEORY I 3 + 0 1 Turkish 2020-2021 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
FEN A0220 %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 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.
Topics
WeeksTopics
1 Rings.
2 Rings Homomorphisms and Subrings.
3 Integrel Domain and Fields.
4 Ideals.
5 Maximal Ideals and Prime Ideals.
6 Quotient Rings.
7 Isomorphism Theorems.
8 Factorization in Commutative Rings.
9 Midterm Exam.
10 Rings of Quotients and Localization.
11 Modulles and Submodulles.
12 Modulles Homomorphism and Isomorphism Theorems.
13 Free Modulles.
14 Rings of Polynomıals and Formal Power Series.
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