The current epidemiological situation requires new distance learning techniques, and modular design seems to be a good systematic approach to the formation of standards for distance learning. Modular approach makes it possible to provide students with knowledge and develop competencies in the current challenging social conditions. The authors analyzed the distance learning technologies used by various academic organizations during the pandemic, as well as some distance learning platforms for advanced training courses. The analysis showed that modular competence-based distance learning technologies are widely introduced in the domestic academic environment. Modular academic disciplines consist of interrelated modules and presuppose a large amount of programmed self-learning. The article also contains an analysis of particular distance learning techniques and introduces new various technologies of blended learning. The materials can be used to develop new distance learning and blended courses.