Print

COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 550STRUCTURAL CHARACTERISTIC OF FUNCTIONS ON COMPLEX PLANE I3 + 02nd Semester7,5

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 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
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 001 5 45   
LO 002 4 4 4  
LO 0035  45   
Sub Total59 12104  
Contribution23043100

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
 Select Year   


This course is not available in selected semester.


Print

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