Course Information

Course Name	Turkish	Sınır Değer Problemleri
	English	Boundary Value Problems
Course Code	MAT 467E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		English
Course Coordinator		Ali Demirci
Course Objectives		1. To develop a basic understanding of occurrence of two point boundary value problems, their classification and related problems; such as, initial value, boundary value and initialboundary value problems in the real world. 2. To develop a basic understanding of the theory and methods of solutions for these problems.
Course Description		Two-point boundary-value problems; definition, examples, existence and uniqueness of solutions. Linear homogeneous boundary-value problems; eigenvalues and eigenvectors. SturmLiouville boundary-value problems; Lagrange identity, orthogonality of eigenfunctions, selfadjoint problems. Nonhomogeneous boundary-value problems; non-homogeneous SturmLiouville problems, non-homogeneous heat conduction problems. Singular Sturm-Liouville problems; definition, continuous spectrum, vibration of a circular elastic membrane, Series of orthogonal functions; convergence and completeness. Techniques of Green`s function; generalised functions, Green`s function, modified Green`s function.
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
Textbook
Other References