Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
MB0039		Integral Equations	2/2/0	DE	Turkish	5

Course Goals	Introducing the theoretical concepts of integral equations to student and making them applicable.
Prerequisite(s)	-
Corequisite(s)	-
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)	Professor Emel Yavuz
Course Assistant(s)
Schedule	Monday: 09:00-10:45; Friday: 13:00-14:45
Office Hour(s)	Instructor name, day, hours, XXX Campus, office number.
Teaching Methods and Techniques	Subject expression and applications
Principle Sources	A.M. Wazwaz, Linear and Nonlinear Integral Equations, Methods and Applications (Chicago: Saint Xavier University, 2011).
Other Sources	R.P. Kanwal, Linear Integral Equations (Boston: Birkhauser, 1997).  B.L. Moiseiwitsch, Integral Equations (London and New York: Longman, 1977).

Course Schedules
Week	Contents	Learning Methods
1. Week	Classification of Integral and Integro-Differential Equations, Linearity and Homogeneity Concepts	Subject expression and applications
2. Week	Transforming Initial Value Problems into Volterra Integral Equations	Subject expression and applications
3. Week	Second Type, Homogeneous and First Type Fredholm Integral Equations	Subject expression and applications
4. Week	Second Type and First Type Volterra Integral Equations	Subject expression and applications
5. Week	Fredholm Integral-Differential Equations	Subject expression and applications
6. Week	Volterra Integral-Differential Equations	Subject expression and applications
7. Week	Abel İntegral Denklemi ve Singüler İntegral Denklemler	Subject expression and applications
8. Week	Abel İntegral Denklemi ve Singüler İntegral Denklemler	Subject expression and applications
9. Week	Volterra-Fredholm Integral-Differential Equations	Subject expression and applications
10. Week	Volterra-Fredholm Integral-Differential Equations	Subject expression and applications
11. Week	Volterra-Fredholm Integral-Differential Equations	Subject expression and applications
12. Week	Volterra-Fredholm Integral-Differential Equations	Subject expression and applications
13. Week	Volterra Integral Equation Systems	Subject expression and applications
14. Week	Fredholm Integral Equation Systems	Subject expression and applications
15. Week
16. Week
17. Week

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	40
Quizzes	5	20
Final Exam	1	40

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 Understanding and commenting on integral equations. LO-2 Analysing and synthesizing the theorems related to integral equations. LO-3 Solving integral equations. LO-4 Understanding between integral equations and differential equations relation. LO-5 Solving systems of integral equations.

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