Optimization Models of Components of Educational Process

Research objects are components of educational process: a macrosystem of educational process for formation of competence of a pupil (of an educational group), systems representing mathematical models of competencys, ontologies, textbooks. Research objectives: to construct mathematical models of components of educational process, to investigate a question of stability of these systems and their possible classifications, to consider research methods of models (quadratic forms) on convexity – concavity, on positive and negative definiteness.