PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 610	ADVANCED ALGEBRA	3 + 0	1st Semester	7,5

COURSE DESCRIPTION

Course Level	Master's Degree
Course Type	Elective
Course Objective	To give information about ideal algebraic structure and multiplier rings, field expansions, algebraic expansions, geometric constructions, advanced group theory, Sylow theorems, Homology groups, Galois theory.
Course Content	Fields, Algebraic expansions, vector spaces, finite fields, isomorphism theorems, group series, Sylow theorems, Galois theory
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Understand the definitions and properties of fields.
2	Understand the definitions and properties of ideals.
3	Homomorphism theorems and multiplier rings are comprehended.
4	Understand the definitions and properties of extensions of fields.
5	Extension types and algebraic extensions are comprehended.
6	Sylow teorems are comprehended
7	Isomorphism theorems are comprehended
8	Galois theory is understanded.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	7	98
Assignments	1	5	5
Mid-terms	1	15	15
Final examination	1	35	35
Total Work Load ECTS Credit of the Course			195 7,5

COURSE DETAILS

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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student