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Mathematics of Physical Models

  • Number of credits 10.5 credits
  • Level Bachelor's level
  • Starting Autumn Term 2022

About the course

The course consists of two parts A and B. Part A concerns theory and application of vector analysis with scalar and vector fields. General orthogonal coordinates are introduced with the cylindrical and spherical coordinate systems as important examples. The basic vector operations are introduced together with the for calculus important rules they obey. The theorems that relate line-, surface- and volume integrals are derived and applied. Part B concerns application of ordinary and partial differential equations (ODE and PDE) with focus on physical models and numerical solutions of the equation. For ODE, tools like MATLAB and Maple may be used. The students will construct a model based on ODE that describes a physical phenomenom. For PDE we introduce the PDE-solver FEMLAB. This tool is then used to illustrate basic theory and also applied to physical phenomena.

Application and eligibility

Mathematics of Physical Models, 10.5 credits

Visa tillfällen för föregående termin Autumn Term 2022 Det finns inga senare terminer för kursen


1 November 2022


15 January 2023

Study location




Type of studies

Daytime, 67%

Required Knowledge

Calculus in Several Variables 7,5 credits, or equivalent. Mathematical Methods of Physics 15 credits, or equivalent. Classical Mechanics 9 credits, or equivalent. Entry requirements


Academic credits Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Application deadline was 19 April 2022. Please note: This second application round is intended only for EU/EEA/Swiss citizens. Submit a late application at

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 24,990

Total fee

SEK 24,990

Contact us

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Course is given by
The Department of Physics
Contactperson for the course is:
Herbert Gunell