Universität Wien

250019 VO Complex analysis (2020W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 07.10. 11:30 - 13:00 Digital
  • Wednesday 14.10. 11:30 - 13:00 Digital
  • Wednesday 21.10. 11:30 - 13:00 Digital
  • Wednesday 28.10. 11:30 - 13:00 Digital
  • Wednesday 04.11. 11:30 - 13:00 Digital
  • Wednesday 11.11. 11:30 - 13:00 Digital
  • Wednesday 18.11. 11:30 - 13:00 Digital
  • Wednesday 25.11. 11:30 - 13:00 Digital
  • Wednesday 02.12. 11:30 - 13:00 Digital
  • Wednesday 09.12. 11:30 - 13:00 Digital
  • Wednesday 16.12. 11:30 - 13:00 Digital
  • Wednesday 13.01. 11:30 - 13:00 Digital
  • Wednesday 20.01. 11:30 - 13:00 Digital
  • Wednesday 27.01. 11:30 - 13:00 Digital

Information

Aims, contents and method of the course

complex numbers, holomorphic functions, the Cauchy-Riemann equations, power series, contour integrals, winding numbers, Cauchy's theorem and the Cauchy integral formula, expansion of holomorphic functions in power series, the Identity Theorem, zeros and singularities, the Mean Value Theorem and the Maximum Principle, Cauchy estimates and Liouville's Theorem, and, as far as the circumstances allow, also: Laurent series, the Residue Theorem and applications

Assessment and permitted materials

written examination, or, in case a written examination with physical presence is not possible, written online examination

Minimum requirements and assessment criteria

50% der bei der schriftlichen Prüfung erreichbaren Punkte sind für eine positive Note ausreichend.

Examination topics

Alle in der Vorlesung behandelten Inhalte.

Reading list

(1) F. Haslinger, Komplexe Analysis, Skriptum,
http://www.mat.univie.ac.at/%7Ehas/complex/scriptumII.pdf

(2) W. Rudin, Real and complex analysis, McGraw-Hill Book Co., 1987.

(3) S. Lang, Complex Analysis, Springer Verlag, 1999.

(4) R. Remmert and G. Schumacher, Funktionentheorie 1, Springer 2002.

(5) I. Stewart, D. Tall, Complex Analysis, Cambridge University Press, 2004.

Association in the course directory

KAN, UFMAMA02

Last modified: Fr 12.05.2023 00:21