The article discusses the possible use of LMS Moodle in the development of the course “The use of computer modeling in education”. The course is based on the introduction of interdisciplinary integration of higher mathematics, computer modeling, programming into the educational process and involves the use of computer mathematics systems and software environments. Examples of specific integrated tasks are presented.

When designing the training course “Using Computer Simulation in Education” in LMS Moodle, the following set of elements was used: “lecture”, “task”, “test”, “forum”, “resource”, “wiki”, “chat”, “glossary”.

The use of the methodology for compiling integrated tasks based on LMS Moodle showed that: integrated tasks using information technology help to increase the level of mastering the material of complex sections of higher mathematics; the content of the course of higher mathematics is the fundamental basis of the material studied in the proposed course, and contributes to a deep understanding of mathematical disciplines; integrated design tasks form practical skills and abilities of computer modeling using programming in various software environments.

The article discusses the construction of a visual solution of boundary value problems for a linear differential equation of the second order by the tridiagonal sweep method in VBA in Excel. Creating macros in VBA allows you to visualize solutions to such boundary value problems.

The article proposes a methodology related to the use of integrated project tasks in teaching mathematics, based on the practical application of the acquired knowledge in mathematical disciplines in conjunction with computer modeling and programming. Examples of specific integrated project tasks are presented.