1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 614MODULE THEORY3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective To present the concepts of module theory.
Course Content Modules and submodules, module homomorphisms, direct sums and products of modules, free modules, projective and injective modules, prime and maximal submodules, Noetherian and Artinian modules.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1To learn the concepts of module and submodule.
2To learn isomorphism theorems and use them to solve problems.
3To understand the relations between ring and module theories.
4To become aware of different module structures.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
LO 004        
Sub Total        
Contribution00000000

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 2022-2023 Spring1CANAN CELEP YÜCEL
Details 2021-2022 Spring1CANAN CELEP YÜCEL
Details 2018-2019 Fall1CANAN CELEP YÜCEL


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 614 MODULE THEORY 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. CANAN CELEP YÜCEL ccyucel@pau.edu.tr FEN A0201 %70
Goals To present the concepts of module theory.
Content Modules and submodules, module homomorphisms, direct sums and products of modules, free modules, projective and injective modules, prime and maximal submodules, Noetherian and Artinian modules.
Topics
WeeksTopics
1 Groups
2 Groups
3 Rings
4 Rings
5 Module definition and Examples
6 Submodules
7 Module homomorphisms and Isomorphism Theorems
8 Direct sums and products of modules
9 midterm
10 Exact Sequence
11 Free Modules
12 ProjectiveModules
13 Injective Modules
14 general review
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