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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 4067 COMMUTATIVE RING THEORY ELECTIVE 4 0 0 7

Offered By

Mathematics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ENGIN MERMUT

Offered to

Mathematics (Evening) Mathematics (English)

Course Objective

This course is an introductory commutative ring theory course.

Learning Outcomes of the Course Unit

1   Ring of quotients should be known. 2   Modules over PID should be known. 3   Noetherian modles should be known. 4   Artinian modules should be known. 5   Dedekind domains should be known.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Ring of Quotients 2 Ring of Quotients 2 3 Chain conditions and Chineese Remainder Theorem 4 Modules over PID 5 Prime ideals 6 Primary ideals and modules I 7 Primary ideals and modules II 8 Primary ideals and modules III 9 Noetherian Modules I 10 Noetherian Modules II 11 Artinian Modules I 12 Artinian Modules II 13 Dedekind Modules I 14 Dedekind Modules II

Recomended or Required Reading

Textbook(s): 1) J.Fraleigh. A First Course in Abstract Algebra. 7th edition. 2) T. Hungerford. Algebra.

Planned Learning Activities and Teaching Methods

Lecture notes, presentation, problem solving, discussion.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Vize 2 FN Final 3 BNS BNS VZ * 0.40 + FN * 0.60 4 BUT Bütünleme Notu 5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60

Further Notes About Assessment Methods

1 Midterm Exam Final Exam

Assessment Criteria

%40 (Midterm examination) +%60 (Final examination)

Language of Instruction

English

Course Policies and Rules

You can be successful in this course by studying from your textbooks and lecture notes on the topics to be covered every week, coming to class by solving the given problems, establishing the concepts by discussing the parts you do not understand with your questions, learning the methods, and actively participating in the course.

Contact Details for the Lecturer(s)

Engin Mermut e-mail: engin.mermut@deu.edu.tr Phone: (232) 301 85 82

Office Hours

To be announced later.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 4 56 Preparation before/after weekly lectures 14 5 70 Preparation for Mid-term Exam 1 20 20 Preparation for Final Exam 1 25 25 Final 1 2 2 Mid-term 1 2 2 TOTAL WORKLOAD (hours) 175

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 3 4 5 3 4 3 4 LO.2 5 5 4 3 4 3 4 LO.3 4 5 4 3 4 3 4 LO.4 4 5 4 3 4 3 4 LO.5 4 5 4 3 4 3 4