GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PROPERTIES OF INTEGRAL OPERATORS WITH DIRAC-DELTA TYPE KERNEL/6481305
Course Title: PROPERTIES OF INTEGRAL OPERATORS WITH DIRAC-DELTA TYPE KERNEL
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
Giving general information about approximation theory which is featured in the intersection of applied mathematics and analysis
Construction of the basic facilities for scientist studying on the approximation theory
Obtaining approximation properties of the operators with Dirac-delta kernels which has some physical applications
Giving the basic information about approximation properties of integral operators with Dirac-delta kernel on the Lp space and some characteristic poin
Giving the basic information about approximation properties of convolution type integral operators with Dirac-delta kernel
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Historical information and some examples about Dirac-delta function
2. Week  Some well known Dirac-delta type functions
3. Week  Fejer operator and its approximation properties
4. Week  Korovkin Theorems for periodic functions
5. Week  Generalized Fejer operator and its approximation properties
6. Week  Dirichlet integral, Dirichlet kernel and their some properties
7. Week  Dirichlet integral, Dirichlet kernel and their some properties
8. Week  Modulus of continuity for Lp space and its properties
9. Week  Characteristic points for Lp space and its properties
10. Week  Approximation properties of convolution type integral operators with Dirac-delta kernel
11. Week  Approximation properties of integral operators with Dirac-delta kernel on the Lp space
12. Week  Approximation properties of integral operators with Dirac-delta kernel on continuity and differentiability points
13. Week  Approximation properties of integral operators with Dirac-delta kernel on Lebesgue points
14. Week  Approximation properties of integral operators with Dirac-delta kernel according to the Lp norm
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- 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
14
3
42
 Searching in Internet and Library
5
3
15
 Material Design and Implementation
0
 Report Preparing
8
3
24
 Preparing a Presentation
8
3
24
 Presentation
6
3
18
 Midterm Exam and Preperation for Midterm Exam
3
3
9
 Final Exam and Preperation for Final Exam
3
3
9
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
183
 TOTAL WORKLOAD / 25: 
7.32
 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.Ogün DOĞRU)
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/ogun.dogru)
 -- EMAIL(S) OF LECTURER(S)
   (ogun.dogru@gazi.edu.tr , ogun.dogru@gmail.com)