This information sheet indicates how the course will be organized at pandemic code level yellow and green.
If the colour codes change during the academic year to orange or red, modifications are possible, for example to the teaching and evaluation methods.

Complex analysis

Course Code :1001WETCRO
Study domain:Mathematics
Academic year:2020-2021
Semester:1st semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 1st semester
Lecturer(s)David Eelbode

3. Course contents *

The following topics will be treated during the classes:

* the complex numbers and the Riemann sphere

* the notion of a holomorphic function and its properties 

* elementary complex functions

* the integral representation formulae for complex holomorphic functions (Cauchy-Goursat and Cauchy)

* power series representations (Taylor and Laurent series)

* residue calculus and applications

* principle of the argument and Rouché's theorem

* the Moebius group and conformal transformations (Riemann Mapping Theorem)

* harmonic functions in the plane and their link with holomorphic functions