Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0003	1	Abstract Mathematics	2/2/0	CC	Turkish	6

Course Goals	Aim of this course is to teach fundemental concepts of mathematics such as relation, function, graphs of functions, sets, congruence and equivalence relations, number systems.
Prerequisite(s)	None
Corequisite(s)	None
Special Requisite(s)	None
Instructor(s)	Assist. Prof. Dr. Canan AKKOYUNLU
Course Assistant(s)
Schedule	Thursday, 13:00-14:45, Z-D2 Friday, 11:00-12:45, Z-B2
Office Hour(s)	Wednesday 13:00-14:00 3A-15
Teaching Methods and Techniques	- oral presentation and recitation
Principle Sources	Prof. Dr. Halil Karakaş, Matematiğin Temelleri, ODTU Yayıncılık, 2011 Dr. Öğr. Üyesi Hüseyin Bilgiç, Soyut Matematik Ders Notları, 2010
Other Sources	Fethi Çallıalp, Soyut Matematik, 1995.  Şafak Alpay, H. İbrahim Karakaş, An Introduction to Number Systems and Algebraic Structures,1996.

Course Schedules
Week	Contents	Learning Methods
1. Week	Propositional calculus	oral presentation, recitation
2. Week	Proof methods	oral presentation, recitation
3. Week	Sets	oral presentation, recitation
4. Week	Relations	oral presentation, recitation
5. Week	Equivalence Relations	oral presentation, recitation
6. Week	Order Relations	oral presentation, recitation
7. Week	Functions	oral presentation, recitation
8. Week	Binary operations	oral presentation, recitation
9. Week	Countability	oral presentation, recitation
10. Week	Natural Numbers	oral presentation, recitation
11. Week	Natural Numbers	oral presentation, recitation
12. Week	Integers	oral presentation, recitation
13. Week	Integers	oral presentation, recitation
14. Week	Divisibilty, the greatest common divisor , the least common multiple	oral presentation, recitation
15. Week	Final Examination	Written
16. Week	Final Examination	Written
17. Week	Final Examination	Written

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	50
Final Exam	1	50

Program Outcomes PO-1 Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science. PO-2 Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science. PO-3 Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence. PO-4 Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline. PO-5 Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science. PO-6 Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish. PO-7 Using time effectively in inventing solutions by implementing analytical thinking. PO-8 Understanding professional ethics and responsibilities. PO-9 Having the ability to behave independently, to take initiative, and to be creative. PO-10 Understanding the importance of lifelong learning and developing professional skills continuously. PO-11 Using professional knowledge for the benefit of the society.

Learning Outcomes LO-1 Know logical connectives and their truth tables LO-2 Know proof methods and using them. LO-3 Know the definition of set and the properties of the set operations of union, intersection, difference, and complement. LO-4 Learn the definition of relation, function and their properties LO-5 Learn the properties of numbers.

Course Assessment Matrix:

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10	PO 11
LO 1
LO 2
LO 3
LO 4
LO 5