Among the strategic objectives of the educational sphere, namely, higher education institutions is to develop efficient and adapted quality management system of education. On the part of state supervision in the field of education, required the use of agreed standards, guidelines, models, methods, tools, procedures and modalities for which will be evaluation of the effectiveness of these systems. Global objectives of education in modern life are clearly defined in the Millennium Declaration for the period from 2015 to 2020. System fundamentals of education quality assessment involves consideration of the educational process, "a system", the "input" by entering "source material" and external resources are converted in the educational activities in the "final product" of the educational system. To expand the boundaries of knowledge related areas and use this knowledge in the development of management systems in education by offering methodology harmonization of divergent decisions in the management of university programs, as of the principles, mechanisms, models, methods and means of work in the field of education and science. One of the strategic goals of universities is to develop a quality management system (QMS) using agreed standards, procedures and guidelines on the basis of which the evaluation of the effectiveness of management systems.The mathematical model of quality based on the process approach as a set of interrelated processes of key indicators, each of which is described and an indicator corresponding subsystem or system.