Course Code	Semester	Course Name	LE/RC/LA	Course Type	Language of Instruction	ECTS
DMB0005		Representation Theory I	3/0/0	DE	Turkish	7

Course Goals	To teach the fundamental concepts and methods of algebraic representation theory and to enable the student to apply these to subjects such as groups, Lie algebras, quiver representations.
Prerequisite(s)	Algebra II or its equivalent
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)	Assoc. Prof. Ayten Koç
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	-
Principle Sources	-
Other Sources	-

Course Schedules
Week	Contents	Learning Methods
1. Week	The Basics	Formal Lecture
2. Week	The Basics	Formal Lecture
3. Week	The Basics	Formal Lecture
4. Week	The Basics	Formal Lecture
5. Week	Filtrations, Finite Dimensional Algebras	Formal Lecture
6. Week	Characters of Representations	Formal Lecture
7. Week	Jordan-Hölder Theorem, Krull-Schmidt Theorem	Formal Lecture
8. Week	Representations of Finite Groups	Formal Lecture
9. Week	Representations of Finite Groups	Formal Lecture
10. Week	Representations of Finite Groups	Formal Lecture
11. Week	Representations of Finite Groups	Formal Lecture
12. Week	Quiver Representations	Formal Lecture
13. Week	Quiver Representations	Formal Lecture
14. Week	Quiver Representations	Formal Lecture
15. Week
16. Week
17. Week

Assessments
Evaluation tools	Quantity	Weight(%)
Midterm(s)	1	30
Homework / Term Projects / Presentations	4	25
Final Exam	1	45

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 Knows basic concepts and methods of algebraic representation theory. LO-2 Knows fundamental theorems of the subject and outline basic ideas and technics of their proofs. LO-3 Applies these theorems and methods. LO-4 Be familiar with important examples that are currently active areas of research. LO-5 Follows current publications on these topics.

Course Assessment Matrix:

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