Contents
One semester course, 4 hours of lectures and 3 hours of problem sessions a week.
The headlines are: complex power series. Examples of analytical functions. Analytical functions as mapping. Topology in C: compactness, connected and singular connected sets. Complex integration. Cauchy's integral theorem. Singularities. Residues and their calculation. Riemann's mapping theorem. Analytic continuation. Riemann surfaces.
Text-books
Ian Stewart & David Tall: Complex analysis. Lars V. Ahlfors: Complex Analysis, Third Edition.
Evaluation
1 written examination (13 scala)
ECTS-credits
10
Semester
Fall