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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 1034 BASIC ALGEBRAIC STRUCTURES COMPULSORY 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR GÖKHAN BILHAN

Offered to

Mathematics (Evening) Mathematics

Course Objective

This course aims to give the fundamental concepts of number theory and algebra in a very simple way

Learning Outcomes of the Course Unit

1   It is expected to be known about the structures of Groups,Rings and Fields. 2   Up to cyclic groups, it is expected to be known about groups and their structures. 3   Basic theorems about rings and integral domains are expected to be known. 4   Polynomials and division algorithm of polynomials might be known. 5   Proof achievemets should be improved that is learned in the course Fundamentals of Mathematics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Division algorithm, existence of greatest common divisor 2 Euclidean algorithm, fundamental theorem of arithmetic, moduler arithmetic. 3 Binary operations 4 Groups and subgroups 5 Permutation groups and their direct products 6 Group homomorphisms and isomorphisms 7 Rings 8 Ring homomorphisms and isomorphisms 9 Midterm 10 Integral domains 11 Fields 12 Polynomial rings 13 Divisibility in polynomial rings 14 Ideals

Recomended or Required Reading

Textbook(s): A First Course in Abstract Algebra-7Th Ed. J.Fraleigh.

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 FCG FINAL COURSE GRADE MTE * 0.40 + RST * 0.60

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)

gokhan.bilhan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Tutorials 13 1 13 Preparations before/after weekly lectures 12 4 48 Preparation for midterm exam 1 25 25 Preparation for final exam 1 35 35 Final 1 2 2 Midterm 1 2 2 TOTAL WORKLOAD (hours) 177

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 3 LO.2 5 5 4 3 4 3 3 LO.3 4 5 4 3 4 3 2 LO.4 4 5 4 3 4 3 2 LO.5 3 5 4 3 4 3 2