COURSE UNIT TITLE

: ELEMENTARY NUMBER THEORY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MTÖ 4001 ELEMENTARY NUMBER THEORY COMPULSORY 3 0 0 8

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

Fundemantal Properties of Numbers , Consideration, Understanding solutions of theorems and problems , relation of learning subject to daily life

Learning Outcomes of the Course Unit

1   Problems encountered in the theory of numbers and will be be solved with different problem-solving strategies
2   Learning subject will be associated with daly life
3   Learned the methods and techniques that learned in Elementary Number Theory will be used in project work
4   The basic properties of numbers will be Learned
5   The used solution and proof methods in problem and theorems will be understood

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Divisibility in Integer
2 Prime Numbers
3 Arithmetic functions, Euler function, Mobius fonction
4 Continued of special defined fonctions
5 Fundamental knowledge about Congrüans
6 Linear congrüans
7 Problem Solving
8 Midterm exam
9 Diofante Equations
10 Cryptology
11 Polinomial Equations
12 Primitive Roots
13 Indices
14 Quadratic Residües; The problems of Related subject
15 Final exam

Recomended or Required Reading

Courses of Number Theory, Prof. Dr. Hasan Şenay
Introduction of Number Theory, IVan Nevin, Zuckerman
Introduction to the Theory of Numbers, G.H. Hardy, E.M. Wright
Number Theory and its Application, Prof.Dr. Hüseyin Altındiş
Number Theory, Prof. Dr. Fethi Çallıalp
The Problems of Number Theory with solutions, Assistant Prof.Dr. Ahmet Şükrü Özdemir

Planned Learning Activities and Teaching Methods

project supported teaching, presentation, Face to face and question and answer

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, paper/presentation 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
Paper Preparation 0
Research Presentation 0
Project 0
Others (Please indicate) 0
Pre Class Self Study 12 5 60
Midterm Preparation 1 20 20
Final Preparation 1 25 25
Homework preparation 6 7 42
Quizzes 0
Final Exam 1 1 1
Midterm Exam 1 1 1
TOTAL WORKLOAD (hours) 188

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.132
LO.2
LO.35
LO.4452
LO.542

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2012 DEÜ. BİD

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