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SECOND CYCLE - MASTER'S DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1781 Mathematics PhD
Course Information
Course Learning Outcomes
Course's Contribution To Program
ECTS Workload
Course Details
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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
7,5
COURSE DESCRIPTION
Course Level
Master's 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
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
7
98
Assignments
1
5
5
Mid-terms
1
15
15
Final examination
1
35
35
Total Work Load
ECTS Credit of the Course
195
7,5
COURSE DETAILS
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L+P:
Lecture and Practice
PQ:
Program Learning Outcomes
LO:
Course Learning Outcomes
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Home Page
About University
Name And Address
Acedemic Authorities
General Discription
Academic Calendar
General Admission Requirements
Recognition of Prior Learning
General Registration Procedures
ECTS Credit Allocation
Academic Guidance
Information For Students
Cost Of Living
Accommodation
Meals
Medical Facilities
Facilities for Special Needs Students
Insurance
Financial Support for Students
Student Affairs
Learning Facilities
International Programs
Language Courses
Internships
Sports Facilities and Leisure Activities
Student Associations
Practical Information for Mobile Students
Degree Programmes