The study course contains mathematics sections, which are necessary for the student to understand and successfully master the study courses of the specialty. The study course covers basic questions on the following mathematics topics: Fourier series. Line integrals and surface integrals. Elements of the theory of functions of a complex variable (Complex numbers, functions of a complex variable, derivative and integral of a function of a complex variable. Cauchy's theorems and integral formula). Elements of field theory (Scalar and vector field. Directional derivative, gradient, divergence and curl. Vector field flux, work and circulation. Gauss’ and Stokes’ formulas). Operator calculus (Laplace transform, its basic properties and applications). The examples used in the study course illustrate the application of the considered concepts and methods in the fields related to the specialty.