Institut für Mathematik

Vorlesungen/Details

FS 23
MAT604
Complex Analysis
https://www.math.uzh.ch/fileadmin/user/pid_9195/bilder/252339-IMG_6340.jpeg
Prof. Dr. Claire Burrin

Vorlesungen

Mo
Zeitraum:
15:00 - 17:00
Raum:
Y27H12 Plätze: 50
Fr
Zeitraum:
08:00 - 09:45
Raum:
Y27H28 Plätze: 50

Video Streams

This lecture offers a video stream



Syllabus 

This is an indicative syllabus, which will be adapted as we move along. References are given to Stein and Shakarchi's Complex Analysis, Princeton University Press. These references are indicative; we will sometimes deviate from the text. Nonetheless, reading the text and doing the exercises is strongly recommended! 

 

Week Dates Topics Chapters in [SS]
1 Feb 19, 23 Complex numbers/plane/functions 1.1-2
2 Feb 26, Mar 1 Holomorphic functions, power series 1.2
3 Mar 4, Mar 8 Path integration 1.3
4 Mar 11, Mar 15 Goursat and Cauchy theorems 2.1-3
5 Mar 18, Mar 22 Cauchy integral formulas 2.4
6 Mar 25 Further applications 2.5
7 Apr 8, Apr 12 Isolated singularities 3.1,3.3
8 Apr 19 Midterm review  
9 Apr 22, Apr 26 Residue calculus 3.2
10 Apr 29, May 3 Further applications 3.4
11 May 6, May 10 Conformal mappings 8.1
12 May 13, May 17 Moebius transformations 8.2
13 May 24 Riemann's mapping theorem 8.3
14 May 27, May 31 Thurston's conjecture and final review  

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