TMA4120 - Mathematics 4K - Complex analysis, differential equations and Fourier analysis


Examination arrangement

Examination arrangement: School exam
Grade: Letter grades

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

Course content

Complex functions, complex integration, Laurent series and calculation of residues. The Laplace transform with applications to solving ordinary differential equations and integral equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations.

Learning outcome

1. Knowledge. The student is able to recognize, understand and apply concepts and methods from complex function theory, the theory of Fourier series, Fourier transformation and Laplace transformation, in particular in connection with the solution of ordinary and partial differential equations. 2. Skills. The student is able to apply his or her knowledge of complex function theory, integral transformations and differential equations to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.

Learning methods and activities

Lectures, compulsory exercises. The course may be lectured in English.

Compulsory assignments

  • Exercises

Further on evaluation

Course grade is based on a written final exam (100%). Retake of exam may be given as an oral exam.

Course materials

Will be announced at the start of the semester.

Credit reductions

Course code Reduction From To
MA2104 7.5
SIF5012 7.5
MA2105 3.7 AUTUMN 2009
TMA4122 3.7 AUTUMN 2009
TMA4123 3.7 AUTUMN 2009
TMA4125 3.7 AUTUMN 2009
TMA4130 3.7 AUTUMN 2009
TMA4135 3.7 AUTUMN 2009
TMA4106 3.7 AUTUMN 2020
TMA4111 3.7 AUTUMN 2022
TMA4121 3.7 AUTUMN 2022
MA2106 5.0 AUTUMN 2022
More on the course

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I


Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: English, Norwegian

Location: Trondheim

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

Department with academic responsibility
Department of Mathematical Sciences


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD School exam 100/100 C 2023-12-04 09:00 INSPERA
Room Building Number of candidates
SL274 Sluppenvegen 14 6
SL121 Sluppenvegen 14 1
SL111 brun sone Sluppenvegen 14 81
SL111 lyseblå sone Sluppenvegen 14 72
SL120 blå sone Sluppenvegen 14 9
SL111 grønn sone Sluppenvegen 14 37
Summer UTS School exam 100/100 C INSPERA
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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