PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 1006	ABSTRACT MATHEMATICS	2 + 0	2nd Semester	4

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	To provide understanding the basic concepts of mathematics of teacher candidates, logic, proof, set, relation, function and the development of the operational and conceptual learning skills for these concepts
Course Content	Symbolic logic ve proving methods, sets, algebra of sets, families of sets and partitions of families of sets, set products, relations, inverse of relaions, composition of relations, equivalence relations and equivalence class, order relations, partially ordered set, totally ordered set, functions, bijective functions and combination of functions.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Know symbolic logic and proving methods and make different proof applications.
2	Understand set, algebra of sets, families of sets and partitions of families of sets, set products, make different applications and prove their theorems.
3	Understand relations, inverse and composition of relations and make different applications.
4	Define equivalence and ordering relations and explain some basic concepts such as partially ordered set, totally ordered set and sample them.
5	Know the concept of function which is a special relation, as well as some special concepts such as one to one, surjective and bijective functions and prove their theorems.
6	Understand combinaton of functions and inverse of fuctions, make different applications.
7	Explain and provide examples of countable and uncountable sets. Understand the construction of natural numbers and integers.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13	PO 14
LO 001	3	4	1	1	1	4	2	5	5	5	4	5	5	5
LO 002	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 003	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 004	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 005	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 006	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 007	3	4	1	1	1	4	2	5	5	4	5	5	5	5
Sub Total	21	28	7	7	7	28	14	35	35	29	34	35	35	35
Contribution	3	4	1	1	1	4	2	5	5	4	5	5	5	5

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	2	14	28
Hours for off-the-classroom study (Pre-study, practice)	14	3	42
Assignments	1	4	4
Mid-terms	1	12	12
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			104 4

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester	Mode of Delivery
IMO 1006	ABSTRACT MATHEMATICS	2 + 0	1	Turkish	2025-2026 Spring	Face to Face

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ÇAĞLAR NACİ HIDIROĞLU	chidiroglu@pau.edu.tr		EGT A0232-02	%

Goals		To provide understanding the basic concepts of mathematics of teacher candidates, logic, proof, set, relation, function and the development of the operational and conceptual learning skills for these concepts
Content		Symbolic logic ve proving methods, sets, algebra of sets, families of sets and partitions of families of sets, set products, relations, inverse of relaions, composition of relations, equivalence relations and equivalence class, order relations, partially ordered set, totally ordered set, functions, bijective functions and combination of functions.

Topics

Materials

Materials are not specified.

Resources

Resources	Resources Language
Soyut Matematik Bilim Yayınları	Türkçe
Soyut Matematik Problem Çözümleri Bilim Yayınları	Türkçe
https://acikders.tuba.gov.tr/course/view.php?id=20	Türkçe
Soyut Matematik Palme Yayıncılık	Türkçe
Soyut Matematik, Sait Akkaş, vd.	Türkçe
Soyut Matematik (Erhan Pişkin, Osman Raşit Işık, Nebiye Korkmaz, Ahmet Öteleş, Adem Eroğlu) Pegem Akademi Yayıncılık	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student