GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

GALOIS THEORY AND SOLVING EQUATIONS/4440027

Course Title:	GALOIS THEORY AND SOLVING EQUATIONS
Credits	3	ECTS	7.5
Semester	1	Compulsory/Elective	Elective

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Asst. Associate Professor, Dr. Selami ERCAN

-- WEB SITE(S) OF LECTURER(S)

http://websitem.gazi.edu.tr/site/ercans

-- EMAIL(S) OF LECTURER(S)

ercans@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

Body able to build extensions.
Known to be able to build objects that other objects.
Can be drawn to determine the number.
Galois field expansion is constructed
Second Degree solubility equations by radicals.
Third degree solubility equations by radicals.
4th Solubilization degree equations by radicals.
Field extensions and determines the size of the base.
Classify Fields
Fields extension classify

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this course.

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

There is no recommended optional programme component for this course.

--COURSE CONTENT
1. Week	Field Extensions
2. Week	Field Extensions
3. Week	Contructions with ruler and compas
4. Week	Contructions with ruler and compas
5. Week	Finite Fields
6. Week	Finite Fields
7. Week	Normal and Seperable Extensions
8. Week	Exam
9. Week	Normal and Seperable Extensions
10. Week	Autormorphisms of field extensions
11. Week	The Fundanmental Theorem of Galois Theory
12. Week	Solvability of the equations by radicals
13. Week	Solvability of the equations by radicals
14. Week	Solvability of the equations by radicals
15. Week
16. Week

-- RECOMMENDED OR REQUIRED READING

Lecture Notes, Notes,Cebir ,A. Osman Asar,A. ARIKAN, A. ARIKAN,A First Course in Abstract Algebra by J. B. Fraleigh,

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	30
Assignment	1	2
Exercises	1	2
Projects	1	2
Practice	1	2
Quiz	1	2
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	3	42
Practising Hours of Course Per Week	14	1	14
Reading	14	1	14
Searching in Internet and Library	14	1	14
Designing and Applying Materials	14	1	14
Preparing Reports	14	1	14
Preparing Presentation	14	1	14
Presentation	14	1	14
Mid-Term and Studying for Mid-Term	14	1	14
Final and Studying for Final	14	1	14
Other	14	2	28
TOTAL WORKLOAD:			196
TOTAL WORKLOAD / 25:			7.84
ECTS:			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1					X
2						X
3					X
4					X
5						X
6					X
7					X
8						X
9					X
10					X

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR