Creating a course in probability theory and mathematical statistics in the Moodle system

Abstract

This article develops a relevant direction in computer science – the creation of electronic educational courses in mathematical disciplines, in particular, a new approach to creating an electronic course in probability theory and mathematical statistics in the Moodle learning management system was proposed. The capabilities of the Moodle learning management system were analyzed when creating the course in probability theory and mathematical statistics. At the same time, the possibilities of implementing interactive tools of the Moodle learning management system were investigated. The structure of the course in probability theory and mathematical statistics was presented. Important interactive tools for assessing knowledge in the Moodle course were given: a test system and an assignment system. The combination of these two systems for assessing students' knowledge increases the efficiency of knowledge testing. New LaTeX source codes for problems were created in the Moodle system. The results of executing the LaTeX source codes in Moodle through the MathJax filter for rendering formulas in probability theory and mathematical statistics in a web browser were presented. The display of the formulas created by the LaTeX source codes has professional quality in any web browser on any platform and does not require the installation or configuration of additional software. In this article, it was recommended to use the interactive Forum tool and to add video lectures for a deeper understanding of the theoretical and practical material in the course in probability theory and mathematical statistics. It was shown that the Moodle learning management system allows to use advanced interactive tools when creating the course in probability theory and mathematical statistics to gain thorough knowledge and apply it in practical activities. This motivates students to conduct further scientific activities and to work in teams.