The work is devoted to the problems of using modern digital technologies to manage the implementation of programs for the development of regional socio-economic systems. An approach based on the use of intelligent (knowledge-oriented) informationsystems for monitoring and analyzing the progress of programs is proposed. As a model for representing knowledge about the subject area, it is proposed to use the apparatus of the theory of linguistic variables and fuzzy production rules, which makes it possible to take into account the high level of uncertainty due to both the specifics of socio-economic processes and possible changes in external conditions. The inference engine included in the information system is based on the explicitly interpreted procedure of Mamdani's fuzzy logical inference, which makes it possible to form explanations of the course of reasoning. The developed structure of the intellectual information system is a concretization and expansion of the traditional structure, taking into account the reflection of the specifics of the tasks of managing the implementation of programs for the socio-economic development of the region. The preliminary results of the experimental operation of the research prototype of the developed system can serve as confirmation of the effectiveness of the proposed design solutions.

Keywords: regional socio-economic program, linguistic variable, fuzzy production rule, fuzzy logical inference, information and analytical system

In the given article a regression model of the labor productivity index from the investment dynamics into the fixed capital for the Central Federal District is build. The time series regression model is constructed by means of the trend deviation method. According to the obtained econometric model, a forecast of the labor productivity index for subsequent periods is made.

Keywords: econometric model, forecasting, labor productivity index, investment, regression, time series, trend

The article describes a trend-seasonal adaptive model of the time series of the import volume of the Republic of Kazakhstan according to the quarter data in the period from 2013 to 2018. According to the obtained model, the forecast of the imports volume in the value terms for the first quarter of 2019has been made.

Keywords: Republic of Kazakhstan, import, multiplicative model, exponential smoothing, adaptive model, forecasting, trend equation

The econometric analysis of GDP per capita in the Russian Federation is being given. The number of the departured people from the Russian Federation, nominal average charged wages and exports volume are used as the exogenous variety. The received model of the multiple linear regression is being studied for quality.

Keywords: gross domestic product, GDP per capita, econometrics analysis, multiple linear regression model, endogenous variety, exogenous variety, heteroskedasticity

In article the role of computer technologies is considered at training mathematics and their use in professional work. Are analyzed professional mathematics packages.

Keywords: Computer technologies, professional mathematical packages, educational activity of students