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Complex Analysis

  • Number of credits 7.5 credits
  • Level Bachelor's level
  • Starting Spring Term 2022

Admitted to the course

Here you will find everything you need to know before the course starts.

About the course

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.

Application and eligibility

Complex Analysis, 7.5 credits

Det finns inga tidigare terminer för kursen Spring Term 2022 Det finns inga senare terminer för kursen

Starts

17 January 2022

Ends

23 March 2022

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 Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies Entry requirements

Selection

Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code

UMU-58102

Application

Application deadline was 15 October 2021. Please note: This second application round is intended only for EU/EEA/Swiss citizens. Submit a late application at Universityadmissions.se.

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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Contactperson for the course is:
Study counselor Lars-Daniel Öhman