Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT581 - MATHEMATICS

Code: MAT581 Course Title: GREEN FUNCTION THEORY Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Fall Semester
Level of Course 2nd Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer SEYDİ BATTAL GAZİ KARAKOÇ (sbgkarakoc@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other.
PO-16 Ability to use the approaches and knowledge of other disciplines in Mathematics.
PO-17 Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary.
 		Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Boundary-value problems in cylindrical coordinates, Linear boundary-value problems in second order, The existence and uniqueness of solutions of boundary-value problems, Regular and Periodic Strum-Liouville eigenvalue problems, Nonhomogeneous boundary value problems and Fredholm Alternative, Eigenfunction expansion method, Green function method, Boundary-value problems in spherical coordinates, Sturm-Liouville systems.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Linear boundary-value problems in the second order and the existence and uniqueness of solutions of boundary-value problems Oral expression, Problem solving method
2 Linear boundary-value problems in the second order and the existence and uniqueness of solutions of boundary-value problems Oral expression, Problem solving method
3 Regular and Periodic Strum-Liouville eigenvalue problems Oral expression, Problem solving method
4 Nonhomogeneous boundary value problems and Fredholm Alternative Oral expression, Problem solving method
5 Eigenfunction expansion method Oral expression, Problem solving method
6 Green function method Oral expression, Problem solving method
7 mid-term exam
8 Green function method Oral expression, Problem solving method
9 Boundary-value problems in cylindrical coordinates Oral expression, Problem solving method
10 Boundary-value problems in cylindrical coordinates Oral expression, Problem solving method
11 Boundary-value problems in spherical coordinates Oral expression, Problem solving method
12 Boundary-value problems in spherical coordinates Oral expression, Problem solving method
13 Sturm-Liouville systems. Oral expression, Problem solving method
14 Sturm-Liouville systems. Oral expression, Problem solving method
15 final exam
Recommend Course Book / Supplementary Book/Reading
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 5 14 70
       b) Search in internet/Library 2 14 28
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 4 4 16
mid-term exam 2 1 2
Own study for final exam 5 4 20
final exam 2 1 2
0
0
Total work load; 180