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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 572UNBOUNDED LINEAR OPERATOR THEORY3 + 02nd Semester7,5

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
1Learns unbounded operator in Hilbert space.
2Learns Adjoint operator, symmetric operator, closed operators, Cayley transform and its properties.
3Gain skills on research about spectral theory in unbounded operators.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015 45    
LO 0024 4 4   
LO 0035 5 5   
Sub Total14 1359   
Contribution50423000

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)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Fall1ALP 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 2020-2021 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. ALP ARSLAN KIRAÇ aakirac@pau.edu.tr FEN A0210 %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
WeeksTopics
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 MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes