Entry requirements

Mathematics, 60 ECTS credits including Analysis

MN2.

Aims

To introduce analytic functions.

Content

The field C of complex numbers. Elementary

functions from C to C, especially Moebius

mappings and the exponential function. Analytic

functions. Cauchy's integral theorem and integral

formula with consequences. Taylor and Laurent

series. Calculus of residues. Harmonic functions.

Instruction

Lectures and problem solving sessions.

Assessment

Written and, possibly, supplementary oral

examination at the end of the course. Moreover,

compulsory assignments may be given during the

course.