Combining project based learning with exercises in problem solving in order to train analytical mathematical skills

This paper presents the contents and the teaching methods used in the fourth semester course - REG4E - an important subject in engineering, namely Control Theory and Dynamical Systems. Control Theory courses in engineering education are usually related to exercises in the laboratory or to projects. However, in order to understand complexity of control systems, the students need to possess an analytical understanding of abstract mathematical problems. Our main goal is to illustrate the theory through the robot project, but at the same time we force our students to train their analytical skills by mandatory exercises including problems of abstract mathematics. This paper describes our effort to motivate students to work with the theory. We conclude with our and students' own opinion on their work during the semester. Ideas for future development of this course are presented.