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 1
• Assignment 2
• Assignment 3
• Assignment 4
• Assignment 5

Specific conditions

Required previous knowledge

The course is reserved for students admitted to the study program Postgraduate MRI course (MTVMRDEL)

Course materials

Oldervoll, Tore [mfl.] (2022), Sinus-Forkurs, Oslo: Cappelen Damm AS, ISBN 9788202753023 - Compendiums that are made available at the start of the course.

Credit reductions