Akademik Dersler - Tanıtım


Code - Course Title	MAT323 - Abstract Algebra I
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	2+2
ECTS	5.0
Course Instructor(s)	PROFESÖR DOKTOR FİGEN TAKIL MUTLU
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Abstract Mathematics I, II.
Required or Recommended Resources	The instructor will provide a course pack(bulk pack) with all suggested readings
Recommended Reading List	F. Çallıalp, Cebir, Sakarya Üniversitesi, 1995. D. Taşçı, Soyut Cebir, Alp Yayınevi, 2007.
Assessment methods and criteria	2 midterm exams, final exam(written exam)
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Basics; Properties of the integers and rational numbers,
Week - 2	Euclidean algorithm, fundamental theorem of arithmetic, Euler phi-function, Fermat theorem, Linear Congruence, modular arithmethic.
Week - 3	Definitions and examples of groups.
Week - 4	Direct Products.
Week - 5	Subgroups, cyclic groups and subgroups of cyclic groups .
Week - 6	Lagrange Theorem.
Week - 7	Normal subgroups.
Week - 8	The homomorphism and isomorphism theorems.
Week - 9	Symmetric groups.
Week - 10	Factor groups.
Week - 11	Finite abelian groups.
Week - 12	Classification of finite abelian groups.
Week - 13	p-Sylow subgroups.
Week - 14	Applications of the Sylow Theorems.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	25
Final Exam	1	50
Toplam (%)		100