1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF SCIENCE AND LETTERS
  3. MATHEMATICS DEPARTMENT
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 464THEORY OF RINGS AND MODULES3 + 08th Semester5,5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Elective
Course Objective The aim of this course is to teach basic concept of rings and modules.
Course Content Rings, Ideals, Modules and Free Modules, Rings of Polynomials.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the structure of the rings and concepts of subrings.
2Learns the ideals and quotient rings.
3Learns modules and free modules.
4Learns the structure of polynomial rings and irreducable polynomials.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10
LO 001     5    
LO 002     5    
LO 003 4   4    
LO 004 4   4    
Sub Total 8   18    
Contribution0200050000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Mid-terms15151
Final examination15050
Total Work Load

ECTS Credit of the Course





143

5,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Spring1SERPİL HALICI
Details 2022-2023 Spring1MUSTAFA AŞCI
Details 2021-2022 Spring1ŞAHİN CERAN
Details 2020-2021 Spring1MUSTAFA AŞCI
Details 2019-2020 Spring1CANAN CELEP YÜCEL
Details 2018-2019 Spring1CANAN CELEP YÜCEL
Details 2017-2018 Spring1ŞAHİN CERAN
Details 2016-2017 Spring1ŞAHİN CERAN
Details 2015-2016 Spring1SERPİL HALICI
Details 2014-2015 Spring1SERPİL HALICI
Details 2013-2014 Spring1ŞAHİN CERAN
Details 2012-2013 Spring1ŞAHİN CERAN
Details 2011-2012 Spring1ŞAHİN CERAN


Print

Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 464 THEORY OF RINGS AND MODULES 3 + 0 1 Turkish 2023-2024 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. SERPİL HALICI shalici@pau.edu.tr FEN A0313 %70
Goals The aim of this course is to teach basic concept of rings and modules.
Content Rings, Ideals, Modules and Free Modules, Rings of Polynomials.
Topics
WeeksTopics
1 Rings and Their Basic Properties
2 Subrings
3 Fields
4 Ideals and Proper Domains
5 Rings Homomorphisms
6 İsomorphisma Theorems
7 Prime and maximal ideals
8 Exam
9 Öklidian Domains
10 Arithmetic in abelian rings. s
11 Polynomial rings
12 Quız
13 Moduls
14 Field extensions
Materials
Materials are not specified.
Resources
ResourcesResources Language
 Türkçe
Soyut cebir, Fethi Çallıalp Soyut cebir, Hatice KandamarTürkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam30Midterm Exam
Quiz20Quiz
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes