FMA131F

Temporary

Analytic Functions

6

Third-cycle course

7151 (Centre of Mathematical Sciences / Mathematics)

 -01-27

FN1/Anders Gustafsson

English

Once every semester

The course is primarily intended to bridge the gap between the requirements of the course FMAF01 Analytic Functions and the prerequisites for standard postgraduate courses on analytic functions in one or several variables.

Analytic continuation. Complex integration. The argument principle. Conformal mappings. Polynomials and their zeroes. Partial fractions, meromorphic functions. Infinite products. Ordinary differential equations. Integral transforms. Asymptotic methods. Potential theory.

in his/her own words be able to describe the concepts in the course and their properties.
in his/her own words be able to explain the logical connections between the concepts (definitions, theorems and proofs).

be able to show capability to identify problems which can be modelled with the concepts introduced in the course.
be able to use the concepts in the course in problem solving.

with proper terminology, in a well structured way and with clear logic be able to explain the solution to a problem.

be able to show capability, in the context of problem solving, to develop the theory somewhat further.

have developed his or her ability independently to read and judge mathematical text.

Lectures

Written exam

Oral exam

Failed, pass

 

Lecture notes.

FMA131F

 -01-27

FN1/Anders Gustafsson