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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS OME 3015 ALGEBRA COMPULSORY 2 0 0 2

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SERKAN NARLI

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

The purpose of this course is to analyze the theoretical structure of algebra that is the foundation of mathematics

Learning Outcomes of the Course Unit

1   1. To be able to explain the basis knowledge about the concepts of sets, relations and functions and be able to practice 2   2. To be able to explain groupe and subgroupe terms, give examples an suitable to this concepts. 3   3. To be able to express and proof the Lagrange Theorem and be able to explain the ralations with cyclic group and be able to solve problems 4   4. To be able to explain the concept of normal subgroup and the features of this concept 5   5. To be able to explain the concepts of homeomorphism and isomorphism founctions and be aware of their importance for groups 6   6. To be able to get difference groups using rotation and spin functions and explain the importance these groups in daily mathematics 7   7. To be able to aware of commutative feature of groups and make interactions around the special formed groups

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 The features of sets, relations and functions 2 Modular arithmetic, divisibility on the integers 3 The theory of groups 4 Subgroups 5 The cosets, right and left cosets 6 Problem Solving 7 Course Overview, Evaluation and Midterm Examination 8 Lagrange Theorem 9 Normal Subgroups 10 Factor Groups 11 Homeomorphism 12 Izomorphism 13 Permutation Groups, Rings 14 Burnside theorem and its applications 15 Final exam

Recomended or Required Reading

Balkanay, E., Ağargün, G ve Aygör , N. (2000) Soyut Cebir Cilt 1. Yıldız Teknik Üniversitesi Yayınları, Istanbul. Çallıalp, F. (2009) Örneklere Soyut Cebir. Birsen Yayınevi. Istanbul

Planned Learning Activities and Teaching Methods

Direct Instruction, Discussion, Question-Answer Method.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60

Further Notes About Assessment Methods

Midterm and final exams are determined according to the weekly course content within the scope of the learning outcomes of the course.

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

serkan.narli@deu.edu.tr Cahit Arf Building 12442

Office Hours

Tuesday 13:00-14:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 2 26 Preparations before/after weekly lectures 10 2 20 Preparation for midterm exam 1 6 6 Preparation for final exam 1 8 8 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 62

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 PO.14 PO.15 LO.1 4 4 3 4 LO.2 4 3 4 3 4 LO.3 5 4 2 3 4 3 4 LO.4 4 4 3 4 LO.5 4 4 3 4 LO.6 3 4 4 3 4 LO.7 4 4 3 4