The study course is an introduction to modern mathematics. Its acquisition is necessary for the successful application of mathematical methods in dealing with technical, environmental, economical and other issues. The study course can also be considered a basis necessary to build an understanding of advanced mathematics.
The following topics are covered in the study course: analytical geometry: vectors, lines, surfaces; linear algebra: matrices, determinants, systems of linear equations; introduction to analysis: limits, continuity, differential calculus: derivative, differential and their applications; integral calculus: indefinite and definite integrals, their applications; ordinary differential equations; series; double and triple integrals.