Mathematics at all technical universities plays the role of language for professional subjects. A proper understanding of mathematical terms, objects, and procedures increases students' ability to formulate, answer, and successfully resolve engineering problems.
Currently, a relatively heterogeneous group of students learns at universities in terms of their initial mathematical knowledge, abilities, and skills requiring changes in the approach to teaching mathematics as a subject of the natural science base of higher education.
Another important factor is significant social change representing the rapid development of information technologies and their integration into all areas of human activity, and therefore affecting the educational process. Today, it is no longer possible to separate the educational process at universities from this versatile implementation.
The restrictions related to the COVID-19 pandemic caused rapid development also in the field of education creating considerable space and opportunity for new ways of implementing and managing the educational process based on a method that can be described as "hybrid learning".
Therefore, this project proposal is focused on complex innovation and modernization of the teaching process in subjects with mathematical content at the two largest technical universities in Slovakia. Among the fundamental innovations that should be mentioned is the automation of the process of self-education of students in the home environment and the change in the approach to the management of "face-to-face" teaching using the SCRUM framework. In addition to modernizing and increasing the attractiveness of the electronic teaching materials (text, multimedia, software, etc.), the "AI-assistant" will be significantly involved in the process in three different roles creating well-to- do space for extensive didactic research, including research and recording impacts of implemented innovations.