Course Detail

Course Description Course Outline Course Contribution to Program Qualifications Assessment Methods ECTS-Workload Detail Informations of the Course Numerical Data

Course Description

Course	Code	Semester	T+P (Hour)	Credit	ECTS
ABSTRACT MATHEMATICS	İM1114927	Fall Semester	2+0	2	6

Course Program

Pazartesi 11:00-11:45

Pazartesi 12:00-12:45

Prerequisites Courses
Recommended Elective Courses

Language of Course	Turkish
Course Level	First Cycle (Bachelor's Degree)
Course Type	Required
Course Coordinator	Assist.Prof. Damla SÖNMEZ
Name of Lecturer(s)	Assist.Prof. Damla SÖNMEZ
Assistant(s)
Aim	This course aims for students to: explain symbolic logic and proof techniques; explain sets, set algebra, set families, partitions of set families, and Cartesian products of sets; explain relations, inverse of a relation, composition of relations, equivalence relations and equivalence classes, and ordering relations; explain functions, one-to-one and onto functions, composition of functions, and inverse functions.
Course Content	This course contains; Symbolic Logic,Statements, Compound Statements,Universal and Existential Quantifiers,Proof Methods,Sets, Subsets and Some Properties of Subsets,Difference, Intersection and Union in Sets, Complement of a Set,Some Properties of Intersection, Union and Complement of a Set,Family of Sets,Some Properties of Intersection and Union in the Family of Sets,Symmetrical Difference in Sets,Cartesian Product of Sets,Relations and Relation Types,Functions and Function Types,Countable Infinite Sets.

Dersin Öğrenme Kazanımları	Teaching Methods	Assessment Methods
Explains symbolic logic and its applications.	12, 9	A
Explain the types of sets.	12, 9	A
Operates on set algebra.	12, 9	A
Knows the concepts of relation, function and makes applications.	12, 9	A

Teaching Methods:	12: Problem Solving Method, 9: Lecture Method
Assessment Methods:	A: Traditional Written Exam

Course Outline

Order	Subjects	Preliminary Work
1	Symbolic Logic	[1], [2], [3]
2	Statements, Compound Statements	[1], [2], [3]
3	Universal and Existential Quantifiers	[1], [2], [3]
4	Proof Methods	[1], [2], [3]
5	Sets, Subsets and Some Properties of Subsets	[1], [2], [3]
6	Difference, Intersection and Union in Sets, Complement of a Set	[1], [2], [3]
7	Some Properties of Intersection, Union and Complement of a Set	[1], [2], [3]
8	Family of Sets	[1], [2], [3]
9	Some Properties of Intersection and Union in the Family of Sets	[1], [2], [3]
10	Symmetrical Difference in Sets	[1], [2], [3]
11	Cartesian Product of Sets	[1], [2], [3]
12	Relations and Relation Types	[1], [2], [3]
13	Functions and Function Types	[1], [2], [3]
14	Countable Infinite Sets	[1], [2], [3]

Resources

[1] Pişkin, E. Soyut Matematik. Pegem Yayıncılık. (Last Edition) [2] Çallıalp, F. Örneklerle Soyut Matematik. Birsen Yayınevi. (Last Edition) [3] Arıkan, A., & Halıcıoğlu, S. Soyut Matematik. (Last Edition)

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
No	Program Qualification	Contribution Level
No	Program Qualification	1	2	3	4	5
1	It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching. It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching. It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.	X
2	In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.		X
3	A problem he faces professionally, he analyzes and solves it based on scientific methods. He solves a problem he faces professionally on his own. It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.	X
4	Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.	X
5	In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary. When he encounters a problem, he formulates it in writing or verbally. He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment. He speaks at least B1 level English to monitor international professional developments.	X
6	He knows the basic concepts of his profession. Applies basic skills related to his profession. It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles. In a professional subject, it conducts research by choosing the appropriate research method.		X

Assessment Methods

Contribution Level	Absolute Evaluation
Rate of Midterm Exam to Success		40
Rate of Final Exam to Success		60
Total		100

ECTS / Workload Table
Activities	Number of	Duration(Hour)	Total Workload(Hour)
Course Hours	0	0	0
Guided Problem Solving	0	0	0
Resolution of Homework Problems and Submission as a Report	0	0	0
Term Project	0	0	0
Presentation of Project / Seminar	0	0	0
Quiz	0	0	0
Midterm Exam	0	0	0
General Exam	0	0	0
Performance Task, Maintenance Plan	0	0	0
Total Workload(Hour)			0
*Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30=(0/30)**			0
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.

Detail Informations of the Course

Course Description

Course	Code	Semester	T+P (Hour)	Credit	ECTS
ABSTRACT MATHEMATICS	İM1114927	Fall Semester	2+0	2	6

Course Program

Pazartesi 11:00-11:45

Pazartesi 12:00-12:45

Prerequisites Courses
Recommended Elective Courses

Language of Course	Turkish
Course Level	First Cycle (Bachelor's Degree)
Course Type	Required
Course Coordinator	Assist.Prof. Damla SÖNMEZ
Name of Lecturer(s)	Assist.Prof. Damla SÖNMEZ
Assistant(s)
Aim	This course aims for students to: explain symbolic logic and proof techniques; explain sets, set algebra, set families, partitions of set families, and Cartesian products of sets; explain relations, inverse of a relation, composition of relations, equivalence relations and equivalence classes, and ordering relations; explain functions, one-to-one and onto functions, composition of functions, and inverse functions.
Course Content	This course contains; Symbolic Logic,Statements, Compound Statements,Universal and Existential Quantifiers,Proof Methods,Sets, Subsets and Some Properties of Subsets,Difference, Intersection and Union in Sets, Complement of a Set,Some Properties of Intersection, Union and Complement of a Set,Family of Sets,Some Properties of Intersection and Union in the Family of Sets,Symmetrical Difference in Sets,Cartesian Product of Sets,Relations and Relation Types,Functions and Function Types,Countable Infinite Sets.

Dersin Öğrenme Kazanımları	Teaching Methods	Assessment Methods
Explains symbolic logic and its applications.	12, 9	A
Explain the types of sets.	12, 9	A
Operates on set algebra.	12, 9	A
Knows the concepts of relation, function and makes applications.	12, 9	A

Teaching Methods:	12: Problem Solving Method, 9: Lecture Method
Assessment Methods:	A: Traditional Written Exam

Course Outline

Order	Subjects	Preliminary Work
1	Symbolic Logic	[1], [2], [3]
2	Statements, Compound Statements	[1], [2], [3]
3	Universal and Existential Quantifiers	[1], [2], [3]
4	Proof Methods	[1], [2], [3]
5	Sets, Subsets and Some Properties of Subsets	[1], [2], [3]
6	Difference, Intersection and Union in Sets, Complement of a Set	[1], [2], [3]
7	Some Properties of Intersection, Union and Complement of a Set	[1], [2], [3]
8	Family of Sets	[1], [2], [3]
9	Some Properties of Intersection and Union in the Family of Sets	[1], [2], [3]
10	Symmetrical Difference in Sets	[1], [2], [3]
11	Cartesian Product of Sets	[1], [2], [3]
12	Relations and Relation Types	[1], [2], [3]
13	Functions and Function Types	[1], [2], [3]
14	Countable Infinite Sets	[1], [2], [3]

Resources

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
No	Program Qualification	Contribution Level
No	Program Qualification	1	2	3	4	5
1	It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching. It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching. It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.	X
2	In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.		X
3	A problem he faces professionally, he analyzes and solves it based on scientific methods. He solves a problem he faces professionally on his own. It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.	X
4	Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.	X
5	In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary. When he encounters a problem, he formulates it in writing or verbally. He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment. He speaks at least B1 level English to monitor international professional developments.	X
6	He knows the basic concepts of his profession. Applies basic skills related to his profession. It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles. In a professional subject, it conducts research by choosing the appropriate research method.		X

Assessment Methods

Contribution Level	Absolute Evaluation
Rate of Midterm Exam to Success		40
Rate of Final Exam to Success		60
Total		100

Course Detail

Course Detail

Course Description

Course Outline

Course Contribution to Program Qualifications

Assessment Methods

Detail Informations of the Course

Course Description

Course Outline

Course Contribution to Program Qualifications

Assessment Methods

Numerical Data

SERVICE HOURS

TUS AND DUS

QUALITY ASSURANCE

INFORMATION PACKET

IMAGES FROM THE UNIVERSITY