COURSE SYLLABUS

ABSTRACT MATHEMATICS I

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:	0
6	Semester:	0
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:	Doç.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

Learning Outcomes:

1	Knows detailed information about propositions.;
2	Knows the proving methods.;
3	Students can apply the propositions to basic electric circuits.;
4	Knows open propositions.;
5	Learns the basic information which will be used in set theory. ;
6	Learns the logic of quantifiers.;
7	Recognizes the subset, universal set, union of sets, intersection of sets, complement of a set, and the sets of difference and their properties.;
8	Learns the ordered tuples, cartesian product, graphic, relation, the inverse of a relation and their properties.;
9	Learns finest details about graphics and relations, functional relation, function, one to one and onto functions, inverse of a function and permutations.;
10	Learns the image and inverse image properties and the numerical properties of relations and functions.;

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
Information

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High