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THIRD CYCLE - DOCTORATE DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1443 Mathematics(Without Thesis)
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 541
FUNCTIONAL ANALYSIS II
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 Spectral Theory by investigating concepts of compact linear operator, bounded and unbounded linear operators.
Course Content
Spectral Theory of Linear Operators on Normed Spaces, Compact Linear Operator and Its Spectrums, Spectral Theory of Bounded Self-Adjoint Operators, Unbounded Linear Operators on Hilbert Spaces.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Knows Spectral Theory of Linear Operators on Normed Spaces.
2
Learns Compact Linear Operator and Its Spectrums.
3
Recognizes the Spectral Theory of Bounded Self-Adjoint Operators.
4
Learns the structure of Unbounded Linear Operators on Hilbert Spaces.
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
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