Module F: Practical Mathematics

Basic programming with Mathematica/Matlab: arithmetics: symbolic and numerical calculations, data structures: lists, vectors and  matrices, plotting graphs of functions: one variable, two variables, and animations.

Using Mathematica/Matlab for solving problems from courses Mathematics I and Mathematics II: series (summation of series), vectors and matrices (scalar product, vector product, matrix product), coordinate systems (Cartesian, polar, cylindrical), differentiation (calculating derivatives, extrema and conditional extrema of a function), integration (calculating definite and indefinite integrals).

Basic concepts of numerical mathematics: solving nonlinear equations, systems of linear equations, numerical integration, quadrature formulae, numerical methods for differential equations.

Using Mathematica/Matlab for presenting and solving practical problems from electromagnetics.

The objective of the module is to learn about the theory of electromagnetics by means of practical examples and to learn how to use Mathematica/Matlab software for presentation and numerical solving of problems from this area. Develop science/mathematics/engineering literacy.

Lectures, laboratory tutorials, use of ICT tools. Collective analysis, interpretation, and solving of technical problems.