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MAT 467E
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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
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