Information Package / Course Catalogue - Adnan Menderes University

General Information Unit Staff Academic Information Programme Outcomes Course Structure Diagram Contact Information

Person Responsible for Information Package

Algebra II

Course Code	: MTK504
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 8

Objectives of the Course

This course gives the fundamental concepts of rings.

Course Content

Rings, homomorphisms of rings, ideals, ısomorphism theorems, prime and maximal ıdeals, factorization in commutative rings, division rings and localization, rings of polinomials and formal power series factorization in polynomial rings, modules, homomorphism and exact sequences, vector spaces, field extension.

Name of Lecturer(s)

Learning Outcomes

1.	To be able to give fundamental properties of ring theory
2.	To be able to relate ring theory with other fields of algebra
3.	To be able to develop some theoretical approach on ring theory
4.	To be able to develop individual works on ring theory
5.	To be able to relate ring theory with some other fields except algebra

Recommended or Required Reading

1.	Algebra, T.W.Hungerford
2.	Contemporary Abstract Algebra, J.A.Gallian
3.	Basic Algebra I-II, N. Jacobson
4.	Basic Abstract Algebra, P.B. Bhattacharya, S.K.Jain, S.R. Nagpaul, Cambridge University Pres
5.	Fundamentals of Abstract Algebra, D.S.Malik, John M.Mordeson, M.K.Sen, The McGraw-Hill Companies

Weekly Detailed Course Contents

Week 1 - Theoretical

Rings

Week 2 - Theoretical

Homomorphisms of rings,ideals

Week 3 - Theoretical

Isomorphism theorems

Week 4 - Theoretical

Prime and maximal ideals

Week 5 - Theoretical

Prime and maximal ideals

Week 6 - Theoretical

Factorization in commutative rings

Week 7 - Theoretical

PID,UFD, Dedekind domains

Week 8 - Theoretical

Division rings and localization

Week 9 - Theoretical

Rings of polinomials and formal power series

Week 10 - Theoretical

Factorization in polynomial rings

Week 11 - Theoretical

Modules

Week 12 - Theoretical

Homomorphism and exact sequences

Week 13 - Theoretical

Vector spaces

Week 14 - Theoretical

Field extension

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Assignment	2	%30
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	3	3	84
Assignment	2	16	2	36
Individual Work	14	0	2	28
Final Examination	1	50	2	52
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	4	4	4	4	4					4					4
OÇ-2	4	4	4	4	4					4					4
OÇ-3	4	4	4	4	4					4					4
OÇ-4	4	4	4	4	4										4
OÇ-5	4	4	4	4	4										4

Person Responsible for Information Package