Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
DMB0017		Theory of Fractional Differential Equations	3/0/0	DE	Turkish	7

Course Goals	Analysing and synthesizing the theory of fractional differential equations.
Prerequisite(s)	None
Corequisite(s)	None
Special Requisite(s)	To have general knowledge about the basic topics of complex analysis and differantial equations.
Instructor(s)	Assoc. Prof. Emel Yavuz
Course Assistant(s)	None
Schedule	To be announced.
Office Hour(s)	Details will be announced. Office number AK / 3-A-03/05
Teaching Methods and Techniques	Lectures, homeworks.
Principle Sources	A.A. Kilbas, H. M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differantial Equations, Elsevier, Amsterdam, 2006.
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	Preliminaries	Lectures
2. Week	Preliminaries	Lectures
3. Week	Fractional Integrals and Fractional Derivatives	Lectures
4. Week	Fractional Integrals and Fractional Derivatives	Lectures
5. Week	Fractional Integrals and Fractional Derivatives	Lectures
6. Week	Fractional Integrals and Fractional Derivatives	Lectures
7. Week	Ordinary Fractional Differantial Equations. Existance and Uniqeness Theorems	Lectures
8. Week	Ordinary Fractional Differantial Equations. Existance and Uniqeness Theorems	Lectures
9. Week	Ordinary Fractional Differantial Equations. Existance and Uniqeness Theorems	Lectures
10. Week	Ordinary Fractional Differantial Equations. Existance and Uniqeness Theorems	Lectures
11. Week	Methods for Explicitly Solving Fractional Differantial Equations	Lectures
12. Week	Methods for Explicitly Solving Fractional Differantial Equations	Lectures
13. Week	Methods for Explicitly Solving Fractional Differantial Equations	Lectures
14. Week	Methods for Explicitly Solving Fractional Differantial Equations	Lectures
15. Week	Final Week	Exams
16. Week	Final Week	Exams
17. Week	Final Week	Exams

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	2	50
Homework / Term Projects / Presentations	2	20
Final Exam	1	30

Program Outcomes PO-1 Have ability to develop new mathematical ideas and methods by using high-level mental processes such as creative and critical thinking, problem solving and decision-making. PO-2 Follow the current developments in the field of mathematics, and make the critical analysis, synthesis and evaluation of new and complex ideas. PO-3 Understand the interdisciplinary interaction related to Mathematics and play a role in an effective manner in environments that require with the resolution of problems encountered in this process. PO-4 Defend original views on the discussion of the issues in the field of mathematics with experts and communicate to show competence in oral and written. PO-5 Do research with high-level national and international scientific working groups, and acquire the responsibility to contribute to the literature by publishing original works in respected scientific journals. PO-6 Use computer software to solve problems effectively by following the developments in information and communication technologies. PO-7 Contribute to the solution of social, scientific, cultural and ethical problems encountered issues related to the field and support the development of these values. PO-8 To solve problems related to the field, establish functional interacts by using strategic decision making processes. PO-9 Establish and discuss in written, oral and visual communication at an advanced level by using at least one foreign language.

Learning Outcomes LO-1 Understanding the mathematical arguments used in the theory of fractional differential equations. LO-2 Analysing topics of fractional integral and fractional derivative. LO-3 Analyzing and synthesizing the fractional ordinary differential equations. LO-4 Understanding and applying existence-uniqueness theorems of ordinary fractional differential equations. LO-5 Analysing the methods for explicit solution of fractional differantial equations.

Course Assessment Matrix:

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