TMA4175 - Complex Analysis


Examination arrangement

Examination arrangement: Written examination
Grade: Letters

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours C

Course content

The course provides an introduction to the theory of complex integration, conformal mappings and harmonic functions. The course also includes selected advanced topics as for example analytic continuation, analytic number theory, interpolation and approximation, and applications to fluid mechanics.

Learning outcome

1. Knowledge. The student has knowledge of central concepts and ideas from complex analysis, including power series, complex integration, conformal mappings and harmonic functions. Moreover, the student is familiar with selected advanced topics, such as analytic continuation, analytic number theory, meromorphic functions, interpolation and approximation, and applications to fluid mechanics.

2. Skills. The student is able to apply his or her knowledge of complex analysis to solve problems from mathematics and natural science/technology.

Learning methods and activities

Lectures and exercises. The lectures will be given in English if the course is attended by students who don't master a Scandinavian language. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments. Retake of examination may be given as an oral examination.

Further on evaluation

see «Teaching methods and activities».

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5029 7.5
More on the course

Version: 1
Credits:  7.5 SP
Study level: Second degree level


Term no.: 1
Teaching semester:  SPRING 2021

No.of lecture hours: 4
Lab hours: 1
No.of specialization hours: 7

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator:

Department with academic responsibility
Department of Mathematical Sciences



Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Spring ORD Written examination 100/100 C
Room Building Number of candidates
  • * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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