GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

ELLIPTIC BOUNDARY VALUE PROBLEMS II/6361305

Course Title:	ELLIPTIC BOUNDARY VALUE PROBLEMS II
Credits	3	ECTS	7.5
Course Semester	1	Type of The Course	Elective

COURSE INFORMATION

-- (CATALOG CONTENT)

-- (TEXTBOOK)

-- (SUPPLEMENTARY TEXTBOOK)

-- (PREREQUISITES AND CO-REQUISITES)

-- LANGUAGE OF INSTRUCTION

Turkish

-- COURSE OBJECTIVES

-- COURSE LEARNING OUTCOMES

Be learning about the variational boundary value problems.
Be capable of the mathematical analysis of some of the VBVPs.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face.

--WEEKLY SCHEDULE
1. Week	Linear elliptic operators Green’s formulas.
2. Week	Adjoint problems weak solutions.
3. Week	Existence of weak solutions;Lax-Milgram theorem.
4. Week	Existence of weak solutions;Lax-Milgram theorem.
5. Week	Energy estimates, Fredholm alternative.
6. Week	Energy estimates, Fredholm alternative.
7. Week	Variational boundary value problems and existence,uniqueness and regularity of VBVP.
8. Week	Variational boundary value problems and existence,uniqueness and regularity of VBVP.
9. Week	Variational boundary value problems and existence,uniqueness and regularity of VBVP.
10. Week	Variational boundary value problems and existence,uniqueness and regularity of VBVP.
11. Week	Minimization of the VBVPs.
12. Week	Minimization of the VBVPs.
13. Week	Gateaux derivatives,The Galerkin Method.
14. Week	Gateaux derivatives,The Galerkin Method, the solutions of some problems.
15. Week
16. Week

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	1	30
Assignment	1	10
Application	0	0
Projects	0	0
Practice	1	10
Quiz	0	0

Percent of In-term Studies		50
Percentage of Final Exam to Total Score		50

-- WORKLOAD

Activity	Total Number of Weeks	Duration (weekly hour)	Total Period Work Load
Weekly Theoretical Course Hours	14	3	42
Weekly Tutorial Hours			0
Reading Tasks	5	16	80
Searching in Internet and Library	8	5	40
Material Design and Implementation			0
Report Preparing			0
Preparing a Presentation			0
Presentation	1	4	4
Midterm Exam and Preperation for Midterm Exam	1	15	15
Final Exam and Preperation for Final Exam	1	15	15
Other (should be emphasized)			0
TOTAL WORKLOAD:			196
TOTAL WORKLOAD / 25:			7.84
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

-- NAME OF LECTURER(S)

(Prof. Dr. Meryem KAYA)

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

(http://websitem.gazi.edu.tr/site/meryemk)

-- EMAIL(S) OF LECTURER(S)

(meryemk@gazi.edu.tr)

Gazi University