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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MTÖ 3009 INTRODUCTION TO ALGEBRA COMPULSORY 3 0 0 5

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SERKAN NARLI

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To analyze the theoretical structure of algebra that is the foundation of mathematics

Learning Outcomes of the Course Unit

1   will be able to explain the basis knowledge about the concepts of sets, relations and functions and be able to practice 2   will be able to explain groupe and subgroupe terms, give examples an suitable to this concepts. 3   will 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   will be able to explain the concept of normal subgroup and the features of this concept 5   will be able to explain the concepts of homeomorphism and isomorphism founctions and be aware of their importance for groups 6   will be able to get difference groups using rotation and spin functions and explain the importance these groups in daily mathematics 7   will 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 A group's generator 6 The cosets, right and left cosets 7 Problem Solving 8 Midterm exam 9 Lagrange Theorem 10 Normal Subgroups 11 Factor Groups 12 Homeomorphism 13 Izomorphism 14 Permutation Groups, Rings 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

question-answer method.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 FINS FINAL EXAM 3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60 4 RST RESIT 5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Application 0 Theoretical 13 3 39 Quiz Preparation 0 Homework preparation 0 Paper Preparation 0 Research Presentation 0 Others (Please indicate) 0 Pre Class Self Study 12 4 48 Midterm Preparation 1 20 20 Final Preparation 1 25 25 Quizzes 0 Final Exam 1 1 1 Midterm Exam 1 1 1 TOTAL WORKLOAD (hours) 134

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 2 LO.2 LO.3 5 2 3 LO.4 LO.5 LO.6 3 LO.7