Akademik Dersler - Tanıtım

Last Updated: 27/06/2013

Code - Course Title	Course Type	Laboratory + Practice	ECTS
MAT323 - Abstract Algebra I	V. SEMESTER	2 +2	5.0

Language of Instruction	Türkçe
Course Type	Required Courses
Course Instructor(s)	DOÇ. DR. ŞENAY BULUT, DOÇ. DR. YUNUS ÖZDEMİR
Mode of Delivery	The mode of delivery of this course is Face to face
Place of Delivery
Used Educational Platforms
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Abstract Mathematics I, II.
Recommended Resources	The instructor will provide a course pack(bulk pack) with all suggested readings
Work Placement	N/A
Aims of the Course

Weeks	Learning Outcomes	Topics	Teaching Methods
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.

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