The use of SCM Maple in solving problems on calculating geometric probability

Abstract

Modern requirements for the content and educational technologies of teaching mathematical disciplines, including probability theory and mathematical statistics, require the active introduction of modern software tools into the educational process. The MS Excel spreadsheet and the Maple computer mathematics system have been widely used in the process of teaching mathematical disciplines in higher education. However, the Maple computer mathematics system is usually used to solve problems in differential and integral calculus, mathematical modeling, and the construction of spatial bodies and their intersections, while the use of MS Excel is widespread for solving problems in linear and matrix algebra, linear programming, probabilistic and statistical analysis. The simultaneous use of both of the above software tools when teaching certain sections of mathematical disciplines is practically not implemented, which makes the task of comparative analysis of the feasibility and rationality of their application relevant. The aim of the work is to compare the possibilities, rationality and limitations of using the Maple computer mathematics system and MS Excel when solving problems of probability theory of different levels of complexity. The work proposes options for solving problems using both software tools with a corresponding analysis of labor intensity, clarity and the possibility of quickly changing the modules of automated calculation. The possibilities of using different software tools expands the range of skills of applicants and allows you to choose a rational, less labor intensive and more visual and convenient one given the type of problems that are proposed for solution.