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.
Physical Modelling and Computational techniques, 10.5 credits
Autumn Term 2025
Starts
24 November 2025
Ends
18 January 2026
Study location
Umeå
Language
English
Type of studies
Daytime,
100%
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.
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
UMU-53013
Application
The online application opens 17 March 2025 at 09:00 CET.
Application deadline is
15 April 2025. How to apply
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.
