COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 551STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE II3 + 02nd Semester6

COURSE DESCRIPTION
Course Level Doctorate 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
1Learns convergence of Faber series and solution of the problem on existence of function.
2Understands approximation of analytical functions on Kvazi conform bounded domains.
3Learns 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
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
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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