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Syllabus TOPICS IN COMPLEX ANALYSIS - 80544
עברית
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Last update 18-04-2020
HU Credits: 3

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Prof. Genadi Levin

Coordinator Email: levin@math.huji.ac.il

Coordinator Office Hours: By appointment.

Teaching Staff:
Prof Genady Levin

Course/Module description:
Basic principles of complex analysis. Harmonic functions.
Univalent functions. Modular function and applications.
Weierstrass and Mittag-Leffler theorems. Special functions (Gamma and Riemann's Zeta functions, partition function). Extremal length method, modulus of topological annulus.
Introduction to the theory of quasiconformal mappings of the plane.

Course/Module aims:
Same as in learning outcomes.

Learning outcomes - On successful completion of this module, students should be able to:
Familiarity with the main principles of complex analysis.

Familiarity with the geometric theory of functions of complex variable

Familiarity with the analytic theory and special functions

Understanding the relations to other areas of mathematics

To learn basic notions of the theory of quasiconformal
mappings

Attendance requirements(%):
0

Teaching arrangement and method of instruction: Lecture

Course/Module Content:
Basic principles of complex analysis. Harmonic functions.
Univalent functions. Modular function and applications.
Weierstrass and Mittag-Leffler theorems. Special functions (Gamma and Riemann's Zeta functions, partition function). Extremal length method, modulus of topological annulus.
Introduction to the theory of quasiconformal mappings of the plane.

Required Reading:
none

Additional Reading Material:
L. Ahlfors, Complex Analysis.
G.M. Goluzin, Geometric Theory of Functions of Complex Variable.
P. Henrici, Applied and Computational Complex Analysis, I-III.
L. Ahlfors, Lectures on Quasiconformal Mappings.

Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 100 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
none
 
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.
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