Abstract: The purpose of mathematical training of bachelors of technical specialties in the framework of the competence approach is the formation of mathematical competence of the specialist, which is expressed in the ability of graduates to apply mathematical methods in professional activities. Competences are acquired by students in the process of mastering the content of education fixed in educational standards and curricula of disciplines. Using new methods and forms of organization of the educational process, using new teaching tools, competencies are formed in lectures and practical classes in higher mathematics.

Abstract: Basically semantic linkage technique is used to specify in computer readable form known facts or relationships that definitely exist between information objects like people, organizations, research results, etc. Recently developers also started using it to visualize scientists’ opinions or scientific hypotheses (e.g. inference/deduction, impact/usage, theoretical hierarchy, etc.) about relationships between research objects. Based on CERIF Link entity and the Semantic Layer and assuming that scientists typically re-use research objects by making relation-ships between them we propose a sketch of a research e-infrastructure semantic fragment, which allow scientists unlimited re-use of research information systems (RIS) content. After some development a semantic linkage technique provides scientists with tools and services for semantic linking of any pair of research objects, which metadata are available within content of any RIS. This application also allows scientists a decentralized development of semantic vocabularies that guarantee a covering by this technique any new types of relationships. In the paper we discuss information objects, tools and services which are necessary for proper functioning of proposed fragment of the research e-infrastructure. We also discuss a “quality control” topic which in this context is very important.