PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
IMO 1006	ABSTRACT MATHEMATICS	2 + 0	2nd Semester	5

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, limit, permutation and operation 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, permutations, operations. Matrices and algebraic operations on matrices.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

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 the concept of permutation, make different applications and prove their theorems.
8	Explain the concept of operaiton, make different applications and prove their theorems.
9	Perform the arithmetic operations of matrix addition, and multiplication.

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
LO 008	3	4	1	1	1	4	2	5	5	4	5	5	5	5
LO 009	3	4	1	1	1	4	2	5	5	4	5	5	5	5
Sub Total	27	36	9	9	9	36	18	45	45	37	44	45	45	45
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)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Assignments	2	10	20
Mid-terms	1	12	12
Final examination	1	18	18
Presentation / Seminar Preparation	2	5	10
Total Work Load ECTS Credit of the Course			130 5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
IMO 1006	ABSTRACT MATHEMATICS	2 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. ÖZLEM GİRGİN ATLIHAN	oatlihan@pau.edu.tr		EGT A0431-02 FEN B0212	%70

Goals		To provide understanding the basic concepts of mathematics of teacher candidates, logic, proof, set, relation, function, limit, permutation and operation 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, permutations, operations. Matrices and algebraic operations on matrices.

Topics

Materials

Materials are not specified.

Resources

Resources	Resources Language
Soyut Matematik, Fethi Çallıalp	Türkçe
Soyut Matematik, Orhan Özer, Doğan Çoker Kenan Taş	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