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.
The information below is only for exchange students
Starts
31 October 2023
Ends
14 January 2024
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.
