GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPROXIMATION BY SUMMATION INTEGRAL TYPE LINEAR POSITIVE OPERATORS I/6531305
Course Title: APPROXIMATION BY SUMMATION INTEGRAL TYPE LINEAR POSITIVE OPERATORS I
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
Teaching the properties of summation integral type operators for bounded variation functions
 -- MODE OF DELIVERY
  he mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Some basic definitions and concepts in the theory of Korovkin type approximation
2. Week  Some basic definitions and concepts in the theory of Korovkin type approximation
3. Week  Some distributions in statistics and Berry Essen theorem, Weighted function spaces, Definition of summation integral type operators and weighted appro
4. Week  Some distributions in statistics and Berry Essen theorem, Weighted function spaces, Definition of summation integral type operators and weighted appro
5. Week  Some distributions in statistics and Berry Essen theorem, Weighted function spaces, Definition of summation integral type operators and weighted appro
6. Week  Weighted modulus of countinuity and rate of convergence, Bounded variation functions, Herzog- Hill theorem
7. Week  Weighted modulus of countinuity and rate of convergence, Bounded variation functions, Herzog- Hill theorem
8. Week  Weighted modulus of countinuity and rate of convergence, Bounded variation functions, Herzog- Hill theorem
9. Week  Estimate for bounded variation functions by Summation integral type operators and obtain rate of convergence
10. Week  Estimate for bounded variation functions by Summation integral type operators and obtain rate of convergence
11. Week  Estimate for bounded variation functions by Summation integral type operators and obtain rate of convergence
12. Week  Bezier variant of summation integral type operators and estimate for bounded variation functions
13. Week  Bezier variant of summation integral type operators and estimate for bounded variation functions
14. Week  Bezier variant of summation integral type operators and estimate for bounded variation functions
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
2
20
 Application
0
0
 Projects
0
0
 Practice
0
0
 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
0
0
 Reading Tasks
9
6
54
 Searching in Internet and Library
9
6
54
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
13
13
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
175
 TOTAL WORKLOAD / 25: 
7
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1X
2X
3X
4X
5X
6X
7X
8X
9X
10X
11X
12X
 -- NAME OF LECTURER(S)
   (Prof. Dr. İsmet YÜKSEL)
 -- WEB SITE(S) OF LECTURER(S)
   (http://websitem.gazi.edu.tr/site/iyuksel/)
 -- EMAIL(S) OF LECTURER(S)
   (iyuksel@gazi.edu.tr)