RAT3103 - MR Mathematics


Lessons are not given in the academic year 2023/2024

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

The course introduces mathematics that provides a foundation for understanding the mathematical description of for instance pulse sequences, Fourier transform and K-space. Topics included are algebra, functions, exponential functions, trigonometric functions, derivation, integration, vectors, complex numbers and exponential functions, Fourier transform, convolution and aliasing.

Learning outcome

After completing the course, the candidate should have achieved the following learning outcomes:

Knowledge: - Understand the relationship between rotating vectors and trigonometric functions - Understand the relationship between time and frequency of functions - Understand mathematical expressions of Fourier transform, convolution and aliasing - Understand conditions and limitations that apply to discrete functions / signals

Skills: - Can make own calculations within algebra, function theory, trigonometric functions, derivation, integration, vector calculation, complex numbers and complex exponential functions - Can use mathematical expressions to describe MRI physics and technology

General competence: - Can use functions and vectors as tools to describe conditions relating to MRI technology - Can understand scientific articles with mathematical explanatory models

Learning methods and activities

Campus-based teaching with exercises in blocks, as well as group work with electronic submission. 3 sessions are held over a total of 10 days (3 + 4 + 3). The students have 5 compulsory work requirements. Learning resources are made available via the e-learning platform: links, answers to assignments and discussion forums with students and teachers.

Compulsory assignments

  • Assignment
  • Assignment
  • Assignment
  • Assignment
  • Assignment

Specific conditions

Admission to a programme of study is required:
Magnetic Resonance - Continuing Education (part time) (MTVMRDEL)
Medical Imaging Technologies (MMEDBT)

Required previous knowledge

The course is reserved for students admitted to the study program Master in Medical Imaging Technologies or postgraduate MRI course (ViMR)

Course materials

- Oldervoll, Tore [mfl.] (2016), Sinus-Forkurs, 3. utgave, Oslo: Cappelen Damm AS, ISBN 978-82-02-50905-7 - Gulliksen, Tor H. (1998), Matematikk i praksis, 4. utgave, Oslo: Universitetsforlaget AS, ISBN 82-00-42411-1 - James H. McClellan [mfl.] (2003), Signal Processing First, Pearson Prentice Hall - Henrik BW Larsson, En introduktion til Fourier Analyse med speciel reference til MRI - Henrik BW Larsson, Introduction to Phase Encoding in MRI

Credit reductions

Course code Reduction From To
HMMR4005 15.0 AUTUMN 2020
More on the course



Version: 1
Credits:  15.0 SP
Study level: Second degree level



Language of instruction: Norwegian

Location: Trondheim

Subject area(s)
  • Radiography
Contact information

Department with academic responsibility
Department of Circulation and Medical Imaging


Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
Autumn ORD School exam 100/100 C 2023-12-13 09:00 PAPIR
Room Building Number of candidates
DI42 Idrettssenteret (Dragvoll) 1
Storhall del 2 Idrettssenteret (Dragvoll) 38
Spring UTS School exam 100/100 C 2024-04-10 09:00 PAPIR
Room Building Number of candidates
SL310 Sluppenvegen 14 3
SL415 Sluppenvegen 14 4
  • * 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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