The article deals with the problem of the transformation of mathematical training of the innovative engineers’ generation during the transition to the Federal State Educational Standards 3++. Mathematical education plays a significant role in training of engineers. The authors highlight the main problems of modern mathematical education in Russia. The analysis of the Federal state educational standards and working curricula in the context of the requirements for the mathematical training of students in the field of study No. 13.00.02 “Electrical power engineering and electrical engineering” studying at Tobolsk Industrial Institute, branch of the Tyumen Industrial University was conducted. The article provides the authors’ definition of mathematical competence, the development of which is the purpose of the mathematical training of a new generation of engineers, considers such components of the mathematical competence as Hard Skills and Soft Skills. On the basis of the conducted research, a model of the mathematical training for bachelors of a technical university was proposed in the context of the transition to the FSES 3++ based on the innovative STEM education technologies and the CDIO concept. The article determines an optimal content of the studied sections of mathematical disciplines necessary for the successful mastering of the curriculum of the field. The implementation of the model involves the use of innovative forms and methods in the educational process aimed at development of the abilities to plan, design, produce and apply complex engineering objects, processes, and systems in modern teamwork conditions. To determine whether the mathematical competence has been well-formed, criteria and indicators were identified. On their basis, five levels of the formed mathematical competence were distinguished: insufficient, developing, experienced, advanced, expert. It is assumed that the implementation of the developed model will allow to train an “engineering special forces” knowing world-class technologies to ensure breakthrough in solving production problems.