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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LMÖ 3006 NUMBER THEORY COMPULSORY 3 0 0 3

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR HASIBE SEVGI MORALI

Offered to

Mathematics Teacher Education

Course Objective

Learning main theorems, basic computation methods and some applications of number theory.

Learning Outcomes of the Course Unit

1   Having knowledge about historical origins of numbers 2   Understanding fundamental theorems of number theory 3   Understand application areas of number theory theorems 4   Do realize the connections between number theory and other areas of mathematics 5   Advanced applications about number theory

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Well oredering, induction method 2 Divisibility, Fibonacci numbers 3 Prime numbers, properties 4 Least common multiple, greatest common divisor, examples 5 Euclidean Algorithm Fudamental theorem of arithmetics 6 Fermat method of factorisation 7 Diophant equations 8 General review, course evaluation, midterm exam 9 Perfect numbers, Mersenne Numbers 10 Congruances, Chinese remainder theorem 11 Wilson, Little Fermat theorems 12 Euler Ø function 13 Continuous fractions 14 General exercises 15 Final exam

Recomended or Required Reading

Kaya A, Sayılar Kuramına Giriş, Ege Üni. Yayınları, 1988

Planned Learning Activities and Teaching Methods

Lecture, discussion, question-answer, problem solving

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

None

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

sevgi.morali@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 3 39 Preparations before/after weekly lectures 13 3 39 Preparation for midterm exam 1 2 2 Preparation for final exam 1 2 2 Midterm 1 1 1 Final 1 1 1 TOTAL WORKLOAD (hours) 84

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 PO.16 PO.17 PO.18 LO.1 4 5 4 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.2 5 5 4 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.3 5 5 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.4 1 1 5 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 LO.5 5 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1