1	Course Title:	ABSTRACT MATHEMATICS I
2	Course Code:	MAT0505
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
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:	Prof.Dr. Atilla AKPINAR
17	Contactinformation of the Course Coordinator:	basri@uludag.edu.tr 0224.2941762
18	Website:
19	Objective of the Course:	To introduce the basic concepts of mathematics on sets. To able to use mathematics’ language. To establish the relationship between spoken language and mathematical language.
20	Contribution of the Course to Professional Development	To be able to practice the professional applications of mathematical and geometric concepts.

21

Learning Outcomes:

1 Learns the concept of proposition.; 2 Distinguish between propositional and non-propositional statements.; 3 Learns the concept of set.; 4 Knows sets display methods.; 5 Can construct operations between sets.; 6 Knows and uses the concept of function.;

22	Course Content:

Week	Theoretical	Practical
1	Description of course.
2	Mathematical propositions.
3	Methods of proof. Showing a truth of propositions.
4	Application of propositions to electric circuits.
5	Open propositions. Introduction to the concept of set.
6	The logic of quantifiers.
7	Subset and universal set.
8	Union, intersection, complement and difference sets and their properties. Membership table, family of sets and operations.
9	Midterm and feedback
10	Ordered tuples, Cartesian product, graphics and their properties.
11	Relation, graphic and the inverse of a relation.
12	Composition of graphics and relations, functional relations and functions.
13	One to one and onto functions. Inverse of a function. Permutations.
14	Image properties under functions and its inverse. Numeric properties of relations and functions.

23	Textbooks, References and/or Other Materials:	1)Soyut Matematik I, Basri Çelik, Dora Yayınevi, 2010, Bursa. 2)Abstract Algebra, Roger Godement, Hermann Publishers, 1968, Paris. 3)Soyut Matematik, Sait Akkaş, H. Hilmi Hacısalihoğlu, Zühtü Özel, Arif Sabuncuoğlu, gazi üniversitesi Yayın No:43, 1984, Ankara.
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	The system of relative evaluation is applied.
Information	Among the behaviors that need to be learned, those that are not possible with the online exam will be tried to be gained with the assignments (homeworks) to be given.

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	2	28
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	14	14
Others	14	1	14
Final Exams	1	22	22
Total WorkLoad			134
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 PQ11 PQ12 LO1 0 0 0 0 5 0 4 0 0 0 0 0 LO2 0 0 0 0 5 0 4 0 0 0 0 0 LO3 0 0 0 0 5 0 4 0 0 0 0 0 LO4 0 0 0 0 5 0 4 0 0 0 0 0 LO5 0 0 0 0 5 0 4 0 0 0 0 0 LO6 0 0 0 0 5 0 4 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High