Syllabus TOPICS IN COMPLEX ANALYSIS - 80544
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 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. Print close PDF version 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 Print