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SECOND CYCLE - MASTER'S DEGREE
THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
MATHEMATICS DEPARTMENT
1781 Mathematics PhD
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 551
STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE II
3 + 0
2nd Semester
7,5
COURSE DESCRIPTION
Course Level
Master's Degree
Course Type
Elective
Course Objective
To teach the structural features of the analytic functions in the sets of the complex plane.
Course Content
Two Integral Operators, Solution of Problem on Existence of Mapping, Dependency on Parameters, Calderon –Zygmund Inequality, Teichmüller Spaces, Faber Series, Faber Series of Analytic Functions, Bernsteyn-Walsh Direct and Inverse Theorems, Convergence of Faber Series in Region, Some Properties of Series according to Faber Polynomials, Faber Polynomial at Closed Region, Approximation of Analytic Functions at Kvazikonform Bounded Region, Structural Description of Function at Arcs and Closed Curve, Some Properties of Partial Kvazikonform Bounded Sets, Approximation of Functions at V.V. Andrievskii Type Continuum, Structural Description of Some Continuous Functions Class at Kvazikonform Arcs and Closed Curve, Direct and Inverse Theorems at Approximation of Harmonic Functions with Polynomial and Harmonic Rational Functions at Complex Plane on Continuums.
Prerequisites
No the prerequisite of lesson.
Corequisite
No the corequisite of lesson.
Mode of Delivery
Face to Face
COURSE LEARNING OUTCOMES
1
Learns convergence of Faber series and solution of the problem on existence of function.
2
Understands approximation of analytical functions on Kvazi conform bounded domains.
3
Learns approximation of harmonic functions in the complex plane via polynomial and rational functions.
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
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
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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