Course content

The course provides an introduction in fundamental theory for complex integration, conformal mapings and harmonic functions. The course also includes selected advanced topics as for example analytic continuation, analytic number theory, harmonic functions, interpolation and approximation, and applications to fluid dynamics.

Learning outcome

The aim is to make the students familiar with basic concepts and methods in complex analysis.

Learning methods and activities

Lectures and exercises. The lectures will be given in English if they are attended by students from the Master's Programme in Mathematics for International students. Retake of examination may be given as an oral examination.

Recommended previous knowledge

Prequisites for the course are the compulsary courses in analysis within the program in Industrial Mathematics. Alternatively, the student should have a comparable background in analysis. In particular, it is assumed that the student has some familiarity with complex numbers. The course is based on TMA4120 Calculus 4K or on MA2105 Complex Function Theory with Differential Equations. It is also an advantage to be familiar with the material in TMA4145 Linear methods.

Course materials

Will be announced at the start of the course.

Credit reductions