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THIRD CYCLE - DOCTORATE DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1441 Mathematics
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 572
UNBOUNDED LINEAR OPERATOR THEORY
3 + 0
2nd Semester
7,5
COURSE DESCRIPTION
Course Level
Doctorate Degree
Course Type
Elective
Course Objective
To teach the fundamental ideas of Unbounded Linear Operators.
Course Content
Unbounded Operators in Hilbert Space, Adjoint Operators, Symetric Operators, Closed Operators, Cayley Transform, Spectral Theory of Unbounded Operators.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Learns unbounded operator in Hilbert space.
2
Learns Adjoint operator, symmetric operator, closed operators, Cayley transform and its properties.
3
Gain skills on research about spectral theory in unbounded operators.
COURSE'S CONTRIBUTION TO PROGRAM
PO 01
PO 02
PO 03
PO 04
PO 05
PO 06
PO 07
PO 08
LO 001
5
4
5
LO 002
4
4
4
LO 003
5
5
5
Sub Total
14
13
5
9
Contribution
5
0
4
2
3
0
0
0
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
Select Year
All Years
2022-2023 Fall
2020-2021 Fall
2012-2013 Spring
2011-2012 Fall
2010-2011 Spring
Course Term
No
Instructors
Details
2022-2023 Fall
1
ALP ARSLAN KIRAÇ
Details
2020-2021 Fall
1
ALP ARSLAN KIRAÇ
Details
2012-2013 Spring
1
ALP ARSLAN KIRAÇ
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Course Details
Course Code
Course Title
L+P Hour
Course Code
Language Of Instruction
Course Semester
MAT 572
UNBOUNDED LINEAR OPERATOR THEORY
3 + 0
1
Turkish
2022-2023 Fall
Course Coordinator
E-Mail
Phone Number
Course Location
Attendance
Prof. Dr. ALP ARSLAN KIRAÇ
aakirac@pau.edu.tr
FEN A0203
%80
Goals
To teach the fundamental ideas of Unbounded Linear Operators.
Content
Unbounded Operators in Hilbert Space, Adjoint Operators, Symetric Operators, Closed Operators, Cayley Transform, Spectral Theory of Unbounded Operators.
Topics
Weeks
Topics
1
Unbounded Operators in Hilbert Space
2
Unbounded Operators in Hilbert Space
3
Adjoint Operators
4
Adjoint Operators
5
Symetric Operators
6
Symetric Operators
7
Closed Operators
8
Closed Operators
9
Cayley Transform
10
Cayley Transform
11
Midterm
12
Spectral Theory of Unbounded Operators
13
Spectral Theory of Unbounded Operators
14
Spectral Theory of Unbounded Operators
Materials
Materials are not specified.
Resources
Course Assessment
Assesment Methods
Percentage (%)
Assesment Methods Title
Final Exam
50
Final Exam
Midterm Exam
50
Midterm Exam
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