The educational process is a collective multi-criterial activity as based on di®erent spheres of natural sciences, social sciences, economic sciences, humanities and engineering sciences [1]. The distance teaching and assessment process at higher educational establishments of professional training of engineering sta® creates certain di±culties for the process of right assessment of knowledge gained. Such di±culties are conditioned by the lack of possibility for direct monitoring of the development and assessment process, but this may entail defrauding of the results. However, the challenge mentioned may be settled by using certain mathematical patterns for knowledge assessment, which are based on an ongoing process that comprises any and all tasks, curricular activities, knowledge shown and results achieved. We de¯ne the teaching and assessment processformulawhere TP - contents of the teaching process; P - realization of practical works; L - realization of laboratory works; C - current assessments; F - ¯nal assessment. The dynamics of the teaching and assessment process is de¯ned by the following equalities:formulaThe results of knowledge assessment are calculated as correlated with implication factors kp, k1, kc, kf from expression Q(E) = (kpp+kll +kcc+kf f) for time interval [0; T], whereformula