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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

The information below is only for exchange students

Starts

1 November 2022

Ends

15 January 2023

Study location

Umeå

Language

English

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.

Selection

Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.

Application code

UMU-A5300

Application

This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive. The application period is closed.

Contact us

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