Required mathematical basics - Coordinate systems - Geometric mean distance - GMD - LCR parallel and series resonant circuit - Current displacement in conductor - Bessel equation and Bessel function - Solution of using Green\'s functions - Method of Lagrangian multipliers - Differential equations and finite elements - the Method of Moments to the Galerkin Method - Galerkin Method - Galerkin-FEM - Electrostatic field calculation - Galerkin-FEM - heat diffusion - Galerkin-FEM - magnetic field diffusion - Introduction to the finite difference method - Applications of FEM to product development - Virtual product design - Eigenvalue problems - Common features of methods to solve differential equations - Things worth knowing about modelling