This course is an introduction to complex analysis in one variable. The topics of the course include complex numbers and topology in the complex plane, analytic and harmonic functions, the Cauchy-Riemann equations, complex integration, Cauchy's integral formula, power series and Laurent series, roots and singularities, residue theory and Cauchy's residue theorem, the argument principle and conformal mappings – in particular Möbius mappings. The course also treats application of the presented theory.
The information below is only for exchange students
Starts
19 January 2026
Ends
23 March 2026
Study location
Umeå
Language
English
Type of studies
Daytime,
50%
Required Knowledge
The course requires courses in Mathematics minimum 60 ECTS or least two years of university studies and in both cases a course in multivariable calculus, minimum 7,5 ECTS or equivalent. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Selection
Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.
Application code
UMU-A5861
Application
This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive.
The online application opens 26 August 2025 at 08:00 CET.
