By the end of the course, students will learn the theoretical fundamentals of the finite element method for the analysis of the linear and non-linear mechanical responses of materials. They will be able to apply the finite element method to solve practical problems in the mechanics of materials. In particular, they will be able to choose the most appropriate modelling approaches, types of elements, levels of discretisation, etc., as well as the most suitable solution methods; besides, they will be able to analyse critically the obtained results.