COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 550STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE I3 + 01st Semester7,5

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 S. N. Mergelyan Theorem, Faber Polynomial, Algebra of Faber Polynomial and Simple Asymptotic Property, Generalised Faber Polynomials, Geometric Properties of Uniform and Partial Uniform Boundedness Area, Grotzsch Problem and Solution, Composity of Mappings, Extrema Problems, Mori Theorem, Dirichlet Integral, Kvazikonform Mapping, Kvazikonform Curves and Arcs, Applications on B.K.Dzyadık Typical Set of Methods at Kvazikonform Mapping Theory, Some Inequalities about Module of Polynomial Derivative, Approach of Cauchy Kernel with Aid of Polynomial Kernel, Direct Theorems, Direct and Inverse Theorems of Aproach Theory on V.K.Dzyadik Typical Set, Bieberbach Polynomial and Uniform Convergence.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Learns properties of Faber polynomials and S.N. Mergelyan theorem.
2Learns Kvazi conform funstions.
3Learns flat and inverse theorems of apprroximate theory in V.K. Dzyadık set.

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 Duration14342
Hours for off-the-classroom study (Pre-study, practice)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
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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