Course content

The course provides an introduction to the theory of complex integration, conformal mappings and harmonic functions. The course also includes selected advanced topics as for example analytic continuation, analytic number theory, interpolation and approximation, and applications to fluid mechanics.

Learning outcome

1. Knowledge. The student has knowledge of central concepts and ideas from complex analysis, including power series, complex integration, conformal mappings and harmonic functions. Moreover, the student is familiar with selected advanced topics, such as analytic continuation, analytic number theory, meromorphic functions, interpolation and approximation, and applications to fluid mechanics.

2. Skills. The student is able to apply his or her knowledge of complex analysis to solve problems from mathematics and natural science/technology.

Learning methods and activities

Lectures and exercises. Students are free to choose Norwegian or English for written assessments.

Recommended previous knowledge

The course is based on TMA4120 Mathematics 4K - Complex analysis, differential equations and Fourier analysis or an equivalent course. It is also an advantage to be familiar with the material in TMA4145 Linear methods or equivalent.

Course materials

Will be announced at the start of the course.

Credit reductions