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 integrals 1.3
4 Mar 11, Mar 15 Goursat and Cauchy theorems 2.1-3
5 Mar 18, Mar 22 Cauchy integral formulas, identity theorem 2.4
6 Mar 25 Singularities 3.1
7 Apr 8, Apr 12 Singularities, residue calculus 3.1,3.2,3.3
8 Apr 19 Residue calculus 3.2
9 Apr 22, Apr 26 Argument principle 3.4-5
10 Apr 29, May 3 Complex logarithm and Basel problem 3.6 and 5
11 May 6, May 10 Fourier analysis and harmonic functions 3.7 and 4.2
12 May 13, May 17 Conformal/Moebius  maps 8.1, 8.2
13 May 24 Riemann's mapping theorem 8.3
14 May 27, May 31 Riemann's mapping theorem and final review 8.3

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