UZH - Institute of Mathematics

MAT604

Complex Analysis

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Vorlesungen

Zeitraum:
15:00 - 17:00

Raum:
Y27H25 Plätze: 50

Zeitraum:
15:00 - 17:00

Raum:
Y27H25 Plätze: 50

This lecture offers a video stream

13:00 - 14:45

Y27H28
Plätze: 50

Exercises Complex Analysis

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Lecture Notes (Version updated 22/04/2026)

Für weitere Informationen kontaktieren Sie bitte: Dr. Megan Griffin-Pickering

Topics covered so far:

Week 1 (Lectures 1-2)	Algebraic and topological properties of the complex numbers.
Week 2 (Lectures 3-4)	Complex differentiation & the Cauchy-Riemann equations.
Week 3 (Lectures 5-6)	Applications of the Cauchy-Riemann equations. Harmonic functions. Complex Series.
Week 4 (Lectures 7-8)	Holomorphic functions defined as power series & examples.
Week 5 (Lectures 9-10)	Complex logarithm; branch cuts. Introduction to the complex path integral.
Week 6 (Lectures 11-12)	Estimation of path integrals. Cauchy's Theorem: Goursat's Lemma; Discs; Simply connected domains.
Week 7 (Lectures 13-14)	The Cauchy Integral Formula & Applications: Liouville's Theorem, Morera's Theorem.
Week 8 (Lectures 15-16)	Taylor series; Zeroes of holomorphic functions

Modul: 15.06.2026 14:00-17:00, Raum: Y15G60 Plätze: 284, Typ: schriftlich