Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MT411.1B	Elementary Number Theory	Elective	4	7	5

Level of Course Unit

First Cycle

Objectives of the Course

Divisibility and Accompaniment, Euler's Theorem, Chinese Remaining Theorem, Wilson's Theorem, Arithmetic Functions, Primitive Roots, Second Order of Residues, Second Grade Inverts, Diophantine Equations, Arithmetic in Second Order Objects, Factorization Theory, Continuous Fractions.

Name of Lecturer(s)

Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN

Learning Outcomes

1	The concepts of "Divisibility and Associated" to comprehend and other concepts related.
2	The concept of "Divisibility" be able to learn about theorems.
3	The concept of "arithmetic function" to comprehend.
4	The concept of "Theory of Factorization" to comprehend.
5	The concept of "periodicity" to comprehend.
6	The concept of "continued fractions" to comprehend.

Mode of Delivery

Normal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

Divisibility and Accompaniment, Euler's Theorem, China's Remaining Theorem, Wilson's Theorem, Arithmetic Functions, Problem Week, Primitive Roots, Second Degree Leftovers, Second Order Inverts, Diophantine Equations, Problem Week, Arithmetic in Second Order Objects, Factorization Theory, Continuous Fractions.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Severability and Accompaniment
2	Euler's Theorem
3	Chinese Remaining Theorem
4	Wilson's Theorem
5	Arithmetic Functions
6	Problem Week
7	Primitive Roots
8	Midterm
9	Secondary Residues
10	Second Order Inverts
11	Diophantine Equations
12	Problem Week
13	Arithmetic in Second Order
14	Factoring Theory
15	Continuous Fractions
16	final exam

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Individual Study for Mid term Examination	2	37	74
Individual Study for Final Examination	2	37	74
TOTAL WORKLOAD (hours)			150

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1
LO2
LO3
LO4
LO5
LO6

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High