Abstract:
A mathematical model is proposed, which allows to estimate
the number of successful university graduates based on parameters
characterizing the effectiveness of vertical (lectures, seminars) and
horizontal (peer education) training. It is shown that with low effectiveness
of vertical learning, an effective means of improving the quality of
education in general is the targeted formation of horizontal groups within
which information is exchanged. It is shown that with extremely low
quality of vertical learning, the behavior of the “university” system is
characterized by phase transitions: with a smooth increase in the parameter
characterizing the intensity of horizontal learning, there is an abrupt
increase in the number of successful graduates. It has been established that
with the existence of pronounced links between individual lecture courses,
the “university” system becomes an analogue of a neural network.
