The first lecture will take place on Monday 12.04.2021 at 10:15 a.m via MS Teams. Once you have registered in CMS for the class, you can find a link to the lectures in MS Teams via Information->Materials.
Complex Analysis (Funktionentheorie)
Complex Analysis, also known as function theory, is the theory of complex differentiable functions. It is an essential tool in many areas of modern mathematics, including functional analysis, number theory and algebraic geometry; as well as in physics, including the areas hydrodynamics and quantum mechanics. Moreover, complex analysis has found applications in engineering, such as in electrical engineering and in control theory.
This course will in particular cover the following topics:
Complex differentiation, power series, complex integration, Cauchy's theorem, applications of Cauchy's theorem including the fundamental theorem of algebra, Laurent series, residue theorem.
The course will be held in English unless all participants speak German.
The lectures will be held on MS Teams. You can find the link to enrol in the Team under "Materials".
There will be weekly assignments, which can be submitted through CMS. You are welcome to discuss the problems with other students, but everyone is expected to write up the answers in their own words.
In order to be admitted to the exam, you have to achieve at least half of the available points on the assignments. At the end of the term, there will be a written exam.
You can find literature for this course on the library homepage.