The article describes the sequence of presentation of the basic concepts and achievements of nanotechnology, nanomaterials types, the core technologies of their formation, methods of investigation of nanostructures, the basic physical and chemical properties of nanomaterials, the latest advances in the use of nanomaterials and nanotechnologies in various branches of engineering. In the lecture course, students are introduced to the basic concepts and ideas of nanotechnology and nanomaterials, their classification and basic properties, methods of nanostructures' forming. In the theoretical material of the lecture course the latest achievements in the field of nanomaterials are considered with the focus on graphene, carbon nanotubes and fullerenes. All of these materials are constructed with carbon atoms. Listeners' attention is drawn to the fact that certain special arrangement of carbon atoms can drastically change the properties of the material if created with the specific arrangement of atoms. A necessary condition for such a review is appropriate schematic arrangement of atoms. Lecture material is related to the latest developments in nanotechnology, and is divided into teaching units in line with some of the brightest main results obtained in such critical areas as nanotechnology: nanobiology, nanomaterials, nanochemistry, nano, nanoengineering, nanoelectronics, nanoenergetika, nanotechnology safety.

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