Abstract: In the article discusses the questions of building the course “Linear Algebra” in higher education, the goals and objectives of training are considered. Also touched upon are the problems of teaching theoretical material in mathematics.

Abstract: The article presents a version of the rating system of evaluation of educational achievements of students in the study of “Algebra”. The stages of formation of the final assessment and its correction during the semester are described.

Abstract: Рresents educational and research building model trajectory.

Abstract: This article analyzes the development trends of processing Big Data tools and multi-format data storage and analysis. This analysis was carried out as part of our program of basic research of the Department of Mathematical Sciences, Russian Academy of Sciences “Algebraic and Combinatorial Methods of Mathematical Cybernetics and information systems of the new generation", as well as RFBR grant number 14-07-00783 “Way to store and process a large volume of scientific and reference data modern hardware platforms”.