Svetlana Efremova

This article proposes a version of the theoretical material on the topic “Linear differential equations with constant coefficients and the right-hand side of a special form” in a short form. The tasks on this topic are considered. Particular attention is paid to the analysis of the most common mistakes of students in solving the tasks. Various ways of material presentation of are considered.

In this article, we propose a version of the material on the subject "Vector algebra." For convenience of perception, the theoretical part is presented in the form of a table. The tasks on this topic are selected in such a way that, when solving them, students should use all the studied material. Particular attention is paid to the upbringing of students' self-control in the process of solving problems.

The paper provides a method of the theme presentation "Conversion of stationary random process by linear dynamic systems with constant coefficients" in the "Stochastic processes" course. This mathematical tool is widely used in the theory of radio circuits. The work shows the example of applying the formulas from the theory of random processes in the problem of radio engineering, which is undoubtedly interesting for illustration the solution of applied problems. The paper will be useful to students of instrument making specialties, as well as to the lecturers of the respective courses.