1	Course Title:	SET THEORY
2	Course Code:	MAT2020
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. BASRİ ÇELİK
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	basri@uludag.edu.tr 0224.2941762
18	Website:
19	Objective of the Course:	Learns to essentials of set theory and establish the set of natural numbers and other number sets as a mathematical structure.
20	Contribution of the Course to Professional Development	Learns the concept of set, which is the most basic concept of mathematics, and their uses.

21

Learning Outcomes:

1 Knows the concept of set.; 2 Calculates the set operations.; 3 Knows the cardinals of finite and infinite sets.; 4 Knows the concept of ordered sets and equivalent ordered sets.; 5 Can construct the set of Natural numbers with using Peano axioms. ; 6 Can construct the set of Natural numbers with using Cardinal numbers.; 7 Knows how to define operations in natural numbers.; 8 Can construct the set of integers.; 9 Can construct the set of rational numbers.; 10 Improves the ability of abstract thinking.;

22	Course Content:

Week	Theoretical	Practical
1	Description of course
2	Cardinal numbers and operations with them.
3	Construction of the set of Natural numbers with cardinal numbers.
4	The proof of Induction Theorem and its applications.
5	Functions.
6	Combinatoric calculations.
7	Construction of the set of Natural numbers with axioms of Peano.
8	The differences between the two methods used in the construction of the set of Natural numbers, and their results.
9	Midterm and feedback
10	Construction of the set of integers. Operations with integers.
11	Construction of the set of rational numbers.
12	Operations with rational numbers.
13	Cardinality of infinite sets.
14	Examples.

23	Textbooks, References and/or Other Materials:	1)Abstract Algebra, Roger Godement, Hermann Publishers, 1968, Paris. 2)Soyut Matematik, Sait Akkaş, H. Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu, gazi üniversitesi Yayın No:43, 1984, Ankara. 3)Sezgisel Kümeler Kuramı, Ali Nesin, Nesin Yayıncılık,2. Baskı, 2008, İstanbul.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Homeworks and online exams
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	3	42
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	4	4
Others	14	2	28
Final Exams	1	4	4
Total WorkLoad			124
Total workload/ 30 hr			4
ECTS Credit of the Course			4

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 2 5 1 4 5 1 5 3 3 2 LO2 3 5 1 2 5 1 5 2 2 1 LO3 1 5 1 3 5 1 5 3 1 1 LO4 2 5 1 2 5 1 5 3 2 1 LO5 2 5 1 2 5 1 5 2 2 1 LO6 1 5 1 3 5 1 5 3 0 0 LO7 3 5 1 3 5 1 5 2 2 2 LO8 1 5 1 2 5 1 5 3 2 1 LO9 2 5 1 4 5 1 5 2 3 1 LO10 1 5 1 3 5 1 5 2 2 1

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High