       
Programme 
Graduate School of Natural and Applied Sciences Manufacturing Engineering 
Course Information 
Course Unit Code  Course Unit Title   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  3Mustafa 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 DiracDelta 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, Eigenfunctions, SturmLiouville Problems 
Prerequisities and Corequisities 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  CoEfficient  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, WileyInterscience. 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 