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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS OMT 3023 ELECTIVE LLL NUMBER THEORY ELECTIVE 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASISTANT 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   Being able to understand application areas of number theory theorems 4   Being able to do realize the connections between number theory and other areas of mathematics 5   To be able do 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 Divisibility 2 Division algorithm 3 Greatest common divisor 4 Least common multiple 5 Euclidean Algorithm 6 Fudamental theorem of arithmetics 7 General exercises 8 Midterm 9 Congruances 10 Congruances 11 Linear congruances 12 Linear congruances 13 Chinese rimeinder theorem 14 Euler Ø function 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 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

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

sevgi.morali@deu.edu.tr

Office Hours

To be announced.

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 8 8 Preparation for final exam 1 10 10 Midterm 1 2 2 Final 1 2 2 TOTAL WORKLOAD (hours) 100

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