  In the article the problems of the systems of computer mathematics use as a
tool for the students learning and research activities support are
investigated. The promising ways of providing access to the mathematical
software in the university learning and research environment are considered.
The special aspects of pedagogical applications of these systems to support
operations research study in the process of bachelors of informatics training
are defined. The design and evaluation of the cloud-based learning components
with the use of the systems of computer mathematics (on the example of Maxima
system) as enchasing the investigative approach to learning of engineering and
mathematics disciplines and increasing the pedagogical outcomes is justified.
The set of psychological and pedagogical and also technological criteria of
evaluation is substantiated. The results of pedagogical experiment are
provided. The analysis and evaluation of existing experience of mathematical
software use both in local and cloud-based settings is proposed.
