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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 4010 MODULES AND RINGS 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 course of modules

Learning Outcomes of the Course Unit

1   . Modules and some basic examples of modules should be known. 2   Free modules should be known. 3   Direct product and sum of modules should be known. 4   Injective-projective modules should be known. 5   Tensor products 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 Definition of Modules, examples, module homomorphisms. 2 Direct product and direct sum of modules. 3 Generators in modules, torsion and torsion free modules 4 Free Modules 5 Exact Sequences 6 Exact Sequences II 7 Hom as a functor 8 Review 9 Midterm 10 Hom and Projective Modules 11 Injective Modules 12 Injective Modules II 13 Tensor product of modules 14 Tensor product of modules 2

Recomended or Required Reading

Textbook(s): Modules and Rings F. Kasch

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

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 12 3 36 Preparation for midterm exam 1 30 30 Preparation for final exam 1 45 45 Final 1 2 2 Midterm 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