GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
THEORY OF APPROXIMATION OF FUNCTIONS/6411305
Course Title: THEORY OF APPROXIMATION OF FUNCTIONS
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
Giving some definitions and theorems related to the best approximation
Giving basic informations about the concept of q-analysis on the approximation theory and construction of q-type operators which has better approximat
Giving some definitions and theorems related to the global approximation
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Concept of best approximation and related theorems
2. Week  Approximation by the combination of orthogonal and orthonormal functions
3. Week  Interpolation operators and their approximation properties
4. Week  Construction of approximating operators which has better approximation
5. Week  Concept of q-analysis on the approximation theory and construction of q-type operators which has better approximation
6. Week  Properties of preserving the monotonicity and convexity of approximating operators (shape preserving)
7. Week  Approximation theorems and order of approximation for singular integrals
8. Week  Concept of global approximation and related theorems
9. Week  Finding the require conditions on the approximating operators to obtain asymptotic formulas which gives approximation order
10. Week  Spline type generalizations of approximation operators
11. Week  Approximation properties of derivatives of approximation operators
12. Week  Quantitative estimates for the approximation operators
13. Week  Theorems including direct results for approximation operators
14. Week  Theorems including direct results for approximation operators
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
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
9
4
36
 Searching in Internet and Library
10
4
40
 Material Design and Implementation
0
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
10
4
40
 Final Exam and Preperation for Final Exam
10
4
40
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
198
 TOTAL WORKLOAD / 25: 
7.92
 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.Ogün DOĞRU , Doç. Dr. Mediha ÖRKCÜ , )
 -- WEB SITE(S) OF LECTURER(S)
   (www.websitem.gazi.edu.tr/ogun.dogru , https://websitem.gazi.edu.tr/site/medihaakcay)
 -- EMAIL(S) OF LECTURER(S)
   (ogun.dogru@gazi.edu.tr , ogun.dogru@gmail.com , medihaakcay@gazi.edu.tr)