GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
EXTENSIONS OF MULTIVARIABLE POLYNOMIALS/6541305
Course Title: EXTENSIONS OF MULTIVARIABLE POLYNOMIALS
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
The concept of Gamma and Beta functions and to get their applications
The concept of Pochammer symbol and hypergeometric function
To solve the Gauss differential equation and to get their applications
To solve the Kummer differential equation and the concept of confluent hypergeometric function
The concept of orthogonal polynomials and generating functions
To solve some known differential equations and to get some special functions which their solutions
The concept of Legendre polynomials, to get their Rodrigues formula
To get generating function, recurrence relation of Legendre polynomials and prove orthogonality of these polynomials and to get their norm
Via methods which is used for Legendre polynomials, to get same properties of other special functions
To find the main properties of Lagrange polynomials and then to get some results for another multivariable polynomials
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Gamma function, Beta function
2. Week  Orthogonality, Generating function, Pochammer symbol
3. Week  Hypergeometric function and Gauss differential equation
4. Week  The Properties of Some Special Polynomials
5. Week  The Properties of Some Special Polynomials
6. Week  Lagrange Polynomials in two variables
7. Week  A relation between Lagrange and Jacobi Polynomials
8. Week  Multivariable Lagrange Polynomials
9. Week  Multilinear and Multilateral Generating Functions
10. Week  Some Properties and Recurrence Relations including Derivative
11. Week  Jacobi Polynomials and new relations for related some special polynomials
12. Week  Two Main Theorem for Bilinear and Bilateral Generating Functions
13. Week  Two Main Theorem for Bilinear and Bilateral Generating Functions
14. Week  Some Properties and Recurrence Relations not including Derivative
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
0
0
 Reading Tasks
10
3
30
 Searching in Internet and Library
11
3
33
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
3
3
9
 Presentation
1
1
1
 Midterm Exam and Preperation for Midterm Exam
2
20
40
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
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. Esra ERKUŞ DUMAN)
 -- WEB SITE(S) OF LECTURER(S)
   (http://websitem.gazi.edu.tr/site/eduman)
 -- EMAIL(S) OF LECTURER(S)
   (eduman@gazi.edu.tr)