MATH-327 / 5 crédits

Enseignant: Ruf Matthias Benjamin

Langue: Anglais


Summary

The goal of this course is to treat selected topics in complex analysis. We will mostly focus on holomorphic functions in one variable. If time permits we will also introduce holomorphic functions in several variables.

Content

Keywords

Complex analysis, Mittag-Leffler theorem, Weierstrass product theorem, Riemann mapping theorem, Picard's great theorem, several complex variables

Learning Prerequisites

Required courses

Analysis I-III (especially basic theory of holomorphic functions)

Important concepts to start the course

Basic theory of holomorphic functions in one complex variable

Learning Outcomes

By the end of the course, the student must be able to:

  • Understand the concepts and methods taught in the course and during the exercise classes
  • Apply those concepts and methods to analyze and solve problems in complex analysis

Teaching methods

Lectures (on blackboard) and exercise sessions with assistant

Expected student activities

Attending the lectures, solving the exercises

Assessment methods

Written exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

Supervision

Office hours No
Assistants Yes
Forum Yes

Resources

Bibliography

R. Remmert: Classical topics in complex function theory. Springer, New York, 1998

C. Laurent-Thiébaut: Holomorphic function theory in several variables: an introduction, Springer, London, 2011

Ressources en bibliothèque

Notes/Handbook

There will be lecture notes available in moodle.

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Topics in complex analysis
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11    MAA330
11-12    
12-13     
13-14     
14-15     
15-16  MAA110  
16-17    
17-18     
18-19     
19-20     
20-21     
21-22     

Mercredi, 15h - 17h: Exercice, TP MAA110

Vendredi, 10h - 12h: Cours MAA330