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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 590
THEORY OF GENERALIZED FUNCTIONS AND APPLICATIONS
3 + 0
2nd Semester
6
COURSE DESCRIPTION
Course Level
Doctorate Degree
Course Type
Elective
Course Objective
To give fundamental properties of generalized functions.
Course Content
Space of test and generalized functions.Differentiation, generalized derivatives.The direct product and convolution of generalized functions.Fourier transform of generalized functions.Dirac delta function and and its properties.Space of slow growth functions.Sobolev spaces.Fundamental solutions of differential operators.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
) Knows space of test and generalized functions.
2
Knows generalized derivatives
3
Learns the direct product and convolution of generalized functions.
4
Knows space of slow growth functions and Sobolev 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