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
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.X
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X
 -- 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)