Complex Analysis 7.5 credits

About the course

The course is an introduction to complex analysis in one variable. The course covers complex numbers and topology of the complex plane, analytic and harmonic functions, Cauchy-Riemann equations, complex integration, Cauchy's integral formula, power series and Laurent series, zeros and singularities, residue theory with the Cauchy residue theorem, the argument principle and conformal mappings, in particular Möbius transformations. The course also treats one or more applications of the theory.

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Spring 2027
- Complex Analysis
  
  Second admissions round for EU/EEA citizens
  
  VT27 / Umeå / English / On site
  
  Application opens 15 September 2026
  
  Save education at universityadmissions.se
  
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  Starts
  18 January 2027
  
  Ends
  24 March 2027
  
  Number of credits
  7.5 credits
  
  Type of studies
  On site
  
  Study pace
  50%
  
  Teaching hours
  Daytime
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-5800B
  
  Eligibility
  
  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
  
  Guaranteed place
  
  Application
  The online application opens 15 September 2026 at 09:00 CET. Application deadline is 15 October 2026. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  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 19,038
  
  Total fee: SEK 19,038
  
  Details about tuition, fees and funding

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More about application and admission

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