Complex Analysis

Education facts

Code: 5MA077

The course is an introduction to complex analysis in one variable. The course deals with 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. The course also covers one or more applications of the theory are reviewed.

Entry requirements

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.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Complex Analysis

  Umeå University

  Start date: 18 January 2027

  End date: 24 March 2027

  Pace of study: 50 %