Matrix Computations and Applications 7.5 credits

About the course

The course provides knowledge and understanding of matrix computations in various applications. For this, deeper knowledge of theory, methods, algorithms and software is required for different classes of numerical linear algebra problems. Among other things, the course discusses projections, fundamental subspaces, transformations, orthogonality and angles, rank, matrix factors (eg LU, QR, SVD), condition numbers (ill-posed or well-posed problems), direct and iterative methods to solve linear systems of equations (e.g. Gauss-Seidel, SOR, Krylov subspace methods, pre-conditioning) and eigenvalue problems (canonical forms, methods for calculating all and/or a few number of eigenvalues and associated eigenvectors). Furthermore, the course deals with how this knowledge and skills are used in a number of applications within, e.g., information retrieval on the internet, computer graphics, simulation, signal processing and engineering applications. Practice and in-depth understanding are acquired through computer labs.

The course is split into two parts:

Part 1, theory, 4.5 ECTS
This part introduces theory, methods, and algorithms.

Part 2, practice, 3.0 ECTS
In this part, numerical software is developed and used to solve problems in practical applications.

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Apply

Autumn 2025
- Matrix Computations and Applications
  
  Autumn 2025 / Umeå / English / On site
  
  Submit a late application
  
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  Starts
  1 September 2025
  
  Ends
  2 November 2025
  
  Number of credits
  7.5 credits
  
  Type of studies
  On site
  
  Study pace
  50%
  
  Teaching hours
  Daytime
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-57001
  
  Eligibility At least 90 ECTS, including 60 ECTS Computing Science, or 120 ECTS within a study programme. At least 7.5 ECTS programming; 7.5 ECTS linear algebra; 15 ECTS differential and integral calculus; and 4.5 ECTS numerical analysis. Proficiency in English equivalent to the level required for basic eligibility for higher studies.
  
  Selection
  Academic credits
  
  Application
  Application deadline was 15 April 2025. Submit a late application at Universityadmissions.se.
  
  Application and tuition fees
  As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.
  
  Application fee: SEK 900
  
  Tuition fee, first instalment: SEK 19,038
  
  Total fee: SEK 19,038
  
  Details about tuition, fees and funding

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Late applications
Admissions to most programmes and courses typically close after the final application deadline. However, some programmes and courses may still accept late applications if seats are available. These are marked “Open for late application” on universityadmissions.se. Please note that late applications are not guaranteed to be reviewed.

More about application and admission

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