Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT103 - MATHEMATICS

Code: MAT103

Course Title: ABSTRACT MATHEMATICS I

Theoretical+Practice: 4+0

ECTS: 5

Year/Semester of Study

1 / Fall Semester

Level of Course

1st Cycle Degree Programme

Type of Course

Compulsory

Department

MATHEMATICS

Pre-requisities and Co-requisites

None

Mode of Delivery

Face to Face

Teaching Period

14 Weeks

Name of Lecturer

HAYRULLAH ÖZİMAMOĞLU (h.ozimamoglu@nevsehir.edu.tr)

Name of Lecturer(s)

SEZER SORGUN, HAYRULLAH ÖZİMAMOĞLU, HATİCE TOPCU,

Language of Instruction

Turkish

Work Placement(s)

None

Objectives of the Course

This course is designed to teach basic mathematical topics and mathematical proofs.

Learning Outcomes		PO	MME
The students who succeeded in this course:
LO-1	Know mathematical logic concepts and use these.	PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.	Examination
LO-2	Know sets and do operations with sets.	PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.	Examination
LO-3	Do operations with relations and functions.	PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.	Examination
LO-4	Know mathematical structures and number sets.	PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.	Examination
PO: Programme Outcomes MME:Method of measurement & Evaluation

Course Contents
Propositions, logical equality, logic rules, Logical requirement, rules of inference, Using quantifiers, quantified propositions, Introduction to the techniques of proving, Intuitive definition of the set and subsets, Set operations, Families of the sets, Detailed review of the techniques of proving, Properties of the relations, Equivalance relations, Partitions and equivalance classes, Order relations
Weekly Course Content
Week	Subject	Learning Activities and Teaching Methods
1	Mathematical Logic	Lecturing
2	Mathematical Logic	Lecturing
3	Sets	Lecturing
4	Sets	Lecturing
5	Relations	Lecturing
6	Relations	Lecturing
7	Functions	Lecturing
8	mid-term exam
9	Detailed review of the techniques of proving	Lecturing
10	Relations	Lecturing
11	Properties of the relations	Lecturing
12	Equivalance relations	Lecturing
13	Partitions and equivalance classes	Lecturing
14	Order relations	Lecturing
15	Preparation for the final exam	Lecturing
16	final exam
Recommend Course Book / Supplementary Book/Reading
1	Soyut Matematik, H.H.Hacısalihoğlu, Z.özel, A. Sabuncuoğlu, S Akkaş, Gazi Üniversitresi yayınları, Ankara, 1984
2	Soyut matematik, Ahmet Arıkan, Sait Halıcıoğlu, Palme yayınevi, 2016
Required Course instruments and materials

Student Work Load
Type of Work	Weekly Hours	Number of Weeks	Work Load
Weekly Course Hours (Theoretical+Practice)	4	14	56
Outside Class
a) Reading	3	14	42
b) Search in internet/Library	3	14	42
c) Performance Project			0
d) Prepare a workshop/Presentation/Report			0
e) Term paper/Project			0
Oral Examination			0
Quiz			0
Laboratory exam			0
Own study for mid-term exam	2	1	2
mid-term exam	2	1	2
Own study for final exam	2	2	4
final exam	2	1	2
			0
			0
Total work load;			150