Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0045		Topology	2/2/0	DE	Turkish	5

Course Goals
Prerequisite(s)	None
Corequisite(s)	None
Special Requisite(s)	The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)	Assist. Prof. Dr. Alper Ülker
Course Assistant(s)
Schedule	Day, hours, XXX Campus, classroom number.
Office Hour(s)	Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques	-Resitation and Oral Presantation
Principle Sources	-General Toplolojy, Prof.Dr. Şaziye Yüksel
Other Sources	-General Toplolojy, Prof.Dr. Cemil Yıldız

Course Schedules
Week	Contents	Learning Methods
1. Week	Symbols and Terms, Topological Constructions	Resitation and Oral Presantation
2. Week	Kuratowski Method, Topology Base	Resitation and Oral Presantation
3. Week	Neighbourhoods	Resitation and Oral Presantation
4. Week	Continuous Functions	Resitation and Oral Presantation
5. Week	Comparison of Topologies	Resitation and Oral Presantation
6. Week	Topographic and Subspaces	Resitation and Oral Presantation
7. Week	Multiplication spaces, Division spaces	Resitation and Oral Presantation
8. Week	Midterm	Midterm
9. Week	Series, Networks, Filters	Resitation and Oral Presantation
10. Week	Discretionary axioms	Resitation and Oral Presantation
11. Week	Compactness	Resitation and Oral Presantation
12. Week	Connected Spaces	Resitation and Oral Presantation
13. Week	Normed Spaces, Metric	Resitation and Oral Presantation
14. Week	Metrel Topology, Uniform Continuity	Resitation and Oral Presantation
15. Week	Final Exam	Final Exam
16. Week	Final Exam	Final Exam
17. Week	Final Exam	Final Exam

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Final Exam	1	60

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 1. Understanding the basic concepts in analysis. LO-2 2. To be able to apply the analysis in the topology field. LO-3 3. To be able to learn topologichal thinking. LO-4 4. To be able to interpret the problems encountered in all areas of mathematics topologically.

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