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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
ALGEBRA I	MAT3301		0 + 0	3.0	5.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	Get knowledge about some properties of integers, divisibility, prime factors, congruance of integer, equivalence classes and solutions of equations, groups, subgroups, cyclic groups, isomorphisms of groups, finite permutation groups, Cayley's Theorem, normal subgroups, quotient groups and homomorphisms, direct sum of groups, some properties of finite abelian groups and Sylow Theorems.
Course Content	Get knowledge about some properties of integers, divisibility, prime factors, congruance of integer, equivalence classes and solutions of equations, groups, subgroups, cyclic groups, isomorphisms of groups, finite permutation groups, Cayley's Theorem, normal subgroups, quotient groups and homomorphisms, direct sum of groups, some properties of finite abelian groups and Sylow Theorems.
Learning Outcomes	1) Grasps under which conditions subsets of a group is a group 2) Determines when are two groups isomorphic. 3) Grasps a group is written as a direct sums of subgroups.