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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

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ENGIN MERMUT

Offered to

Mathematics (Evening) Mathematics

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 Review 9 Midterm 10 Noetherian Modules I 11 Noetherian Modules II 12 Artinian Modules 13 Dedekind Modules I 14 Dedekind Modules II

Recomended or Required Reading

Textbook(s): Algebra - T. Hungerford

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FIN FINAL EXAM 3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + FIN * 0.60 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-mail: gokhan.bilhan@deu.edu.tr, tel: (232) 301 85 93 e-mail: engin.mermut@deu.edu.tr , tel: (232) 301 85 81

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparation before/after weekly lectures 12 3 36 Preparation for Mid-term Exam 1 30 30 Preparation for Final Exam 1 45 45 Final 1 2 2 Mid-term 1 2 2 TOTAL WORKLOAD (hours) 167

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