Abstract: An important role for the purposeful development of the motivational component of the formed competences among students of engineering and natural-science (geological) specialties is played by the demonstration of the application of mathematical methods of calculations in engineering and geology. At the same time, the solution of practice-oriented tasks is of great importance.It is necessary to teach the student to master the material not only at the knowledge level, but also at the level of mastery of mathematical methods and models, interpolation and extrapolation not only in mathematics, but also in solving professional and life problems.