COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 573SPECTRAL THEORY OF LINEAR DIFFERENTIAL OPERATORS3 + 02nd Semester6

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.
Mode of Delivery Face to face

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

COURSE'S CONTRIBUTION TO PROGRAM
Data not found.

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
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
LO: Course Learning Outcomes
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