Information Package / Course Catalogue
Algebra
Course Code: MTK603
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

The course aims to give fundamental theory of algebra for introduction to advanced algebra.

Course Content

To give introduction to group theory, to give fundamental properties of ring theory, to introduce the polynomial rings, to study prime and maximal ideals, to introduce module theory.

Name of Lecturer(s)
Learning Outcomes
1.To understand fundamental properties of group theory
2.To understand fundamental properties of ring theory
3.To study on some specific rings
4.To understand module theory
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Introduction to group theory
Week 2 - Theoretical
Homomorphisms and isomorphisms of groups
Week 3 - Theoretical
Direct product of groups
Week 4 - Theoretical
Finitely generated abelian groups
Week 5 - Theoretical
Introduction to ring theory
Week 6 - Theoretical
Subrings, ideals and homomorphisms
Week 7 - Theoretical
Localizations of rings
Week 8 - Theoretical
Direct sum of rings
Week 9 - Theoretical
Polynomial rings
Week 10 - Theoretical
Euclidean domains
Week 11 - Theoretical
Unique Factorization domains
Week 12 - Theoretical
Prime and maximal ideals
Week 13 - Theoretical
Noetherian and Artinian rings
Week 14 - Theoretical
Modules and vector spaces
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1066
Term Project1066
Individual Work140570
Midterm Examination130232
Final Examination142244
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
3
3
4
3
4
4
2
3
3
2
OÇ-2
3
3
4
3
4
4
2
4
3
2
OÇ-3
4
4
4
4
4
4
3
4
3
3
OÇ-4
4
4
4
4
4
4
3
4
3
2
4
OÇ-5
4
4
4
4
4
3
3
3
3
3
Adnan Menderes University - Information Package / Course Catalogue
2026