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Complex Analysis

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

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

The information below is only for exchange students

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

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-A5811

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 application period is closed.

Contact us

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