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COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 573	SPECTRAL THEORY OF LINEAR DIFFERENTIAL OPERATORS	3 + 0	2nd Semester	6

COURSE DESCRIPTION

Course Level	Doctorate Degree
Course Type	Elective
Course Objective	The aim of this course is to provide an introduction to the basic concepts used in Spectral Theory of Linear Differetial Operators described in the course contents.
Course Content	Linear Differential Expressions, Homogeneous Boundary-Value Problem, Lagrange Formula, Adjoint Differential Expressions, Adjoint Boundary-Value Problem, Eigenvalue and Eigenvectors of Differential Operators, Green's Function for Linear Differential Operator, Asymptotic Behaviour of Eigenvalue and Eigenvectors, Analytical Structure of Green Functions, Regular Boundary-Value Problems, Spectral Expansion of Differential Operators belong to Regular Boundary Conditions, Operators that Produced by Self-adjoint Differential Expressions for Singular Situation, Self-adjoint Extension of Symetric Differential Operators, Inverse Spectral Problems of Ordinary Differential Operators.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.

COURSE LEARNING OUTCOMES

1	Understands linear differential expressions , Adjoint differential expressions , Adjoint boundary value problem, Eigenvalue and eigen function of differential operators.
2	Learns the classification of regular boundary value problems.
3	Comments asymptotic behavior of eigenvalue and eigenvectors.

COURSE'S CONTRIBUTION TO PROGRAM

Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	5	70
Assignments	1	4	4
Mid-terms	1	13	13
Final examination	1	27	27
Total Work Load ECTS Credit of the Course			156 6

COURSE DETAILS

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L+P: Lecture and Practice
PQ: Program Learning Outcomes
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