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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 590THEORY OF GENERALIZED FUNCTIONS AND APPLICATIONS3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's 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.
2Knows generalized derivatives
3Learns the direct product and convolution of generalized functions.
4Knows space of slow growth functions and Sobolev spaces

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001        
LO 002        
LO 003        
LO 004        
Sub Total        
Contribution00000000

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
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes