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.
This course contains occasions that are included in a degree programme at Umeå university and applies only to those of you who are admitted to the programme. You will recieve information about application times and what applies to you from your institution.