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SDÜ Education Information System Course Content
Programme
Graduate School of Natural and Applied Sciences Manufacturing Engineering
Course Information
Course Unit Code
Course Unit Title
Credit Theoretic
Credit Pratic
Credit Lab/A
Credit Total
Credit Ects
Semester
01IMM5149
Green Functions and Boundary Value Problems
3.00
0.00
0.00
3.00
6.00
1
Course Information
Language of Instruction
Turkish
Type of Course Unit
Elective
Course Coordinator
Associate Professor Dr. M.Režit USAL
Course Instructors
3-Mustafa Režit Usal
Course Assistants
 
Course Aims
Solutions of ordinary and partial differential equations by using Green Functions
Course Goals
1) To teach setting up mathematical model for physical systems
2) To recognize boundary value problems
3) To give up concept of linear opertor
4) To recognize the Dirac - Delta functions and sequency
5) To teach obtaining of derivatives of generalized functions
6) Solutions of ordinary differential equations by using Green functions
7) Solutions of partial differential equations by using Green functions
Learning Outcomes of The Course Unit
1) Developing mathematical models of the physical systems and obtaining general solutions .
2) To bring some explanation by using Green Functions about solutions of the encountered boundary value problems.
3) Using various Linear operators
4) To understand Dirac-Delta functions and Sequence
5) Derivatives of generalized functions
6) Solutions of ordinary differential equations
7) Solutions of partial differential equations
Course Contents
Mathematical models of physical systems, Linear operators, General solution metrhods, Classification of partial differential equations, Green functions, Eigen-functions, Sturm-Liouville Problems
Prerequisities and Co-requisities Courses
 
Recommended Optional Programme Components
 
Mode Of Delivery
 
Level of Course Unit
 
Assessment Methods and Criteria
ECTS / Table Of Workload (Number of ECTS credits allocated)
Studies During Halfterm
Number
Co-Efficient
Activity
Number
Duration
Total
Visa
1
50
Course Duration (Excluding Exam Week)
14
4
56
Quiz
1
20
Time Of Studying Out Of Class
14
5
70
Homework
4
20
Homeworks
4
6
24
Attendance
1
10
Presentation
0
0
0
Application
0
0
Project
0
0
0
Lab
0
0
Lab Study
0
0
0
Project
0
0
Field Study
0
0
0
Workshop
0
0
Visas
1
8
8
Seminary
0
0
Finals
1
16
16
Field study
0
0
Workload Hour (30)
30
TOTAL
100
Total Work Charge / Hour
174
The ratio of the term to success
40
Course's ECTS Credit
6
The ratio of final to success
60
 
TOTAL
100
 
Recommended or Required Reading
Textbook
 
Additional Resources
Nagle, R.K., Saff, E.B., Snider, A.D., "Fundemantals of Differential Eqautions and Boundary Value Problems", Addison Wesley,2004.

Haberman, R. "Appl. Partial Diff. Eqs. With Fourier Series and Boundary Value Problems", Prentice Hall,2004.

Stakgold, Ivar. "Green's Functions and Boundary Value Problems", 2nd Edition, Wiley-Interscience. 1997.

Arfken,George B., Weber,Hans J. "Mathematical Methods for Physicists", Academic Pres.2000.
Material Sharing
Documents
 
Assignments
 
Exams
 
Additional Material
 
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
Work Placements
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved.
Program Learning Outcomes
No
Course's Contribution to Program
Contribution
1
An able to use informations of mathematicall, science, engineeringin solving the manufacturing engineering problems
5