Elena Popova

The paper proposes a methodology for the presentation of a main section of mathematical logic – propositional logic. The authors consider a large number of examples, which explain the meaning of the basic definitions. The paper provides a table that summarized the operations disjunction, their meaning and examples. The paper can be useful to teachers and first-year students.

The paper deals with the method of the theme “Multivariate random variable” presentation in the course “Probability theory”. The paper is based on experience of teaching probability theory and it will be useful for both students and teachers for conducting practical classes. It lacks proof of theoretical facts, however, has a list of references that can be consulted for more detailed explanation. The work covers two examples: one for a discrete random vector, the other for a continuous random vector. These examples found the laws of distribution and main numerical characteristics studied in the course of probability theory. A structured approach to the material combining basic theoretical information and analysis of typical tasks will help students in independent and homework work.

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.