The article discusses approaches to solving the problem of increasing academic performance of students. On the basis of the multiplicative convolution of the underlying factors influencing the examination results, the proposed structure of the regression model. Considers the problems of multicollinearity of the factors and ""gross errors"". The developed mathematical model and method of constructing regression models of study groups. The proposed system of classification groups depending on the classes mapped to them models. Using the proposed method was processed information from the database of assessments portal OOH don state technical University. Analysis of processed data showed that the adequacy of the generated regression models were performed for 99.7% of groups. It is shown that the proposed model and method can be used in support of the educational process.

Keywords: higher education, academic performance, regression analysis, factors, output variable, the adequacy of the model, correlation coefficient

The article discusses approaches to the problem of increasing academic performance of the university students. Academic performance indicates the percentage of positive ratings received by students as a result of the exam sessions, excluding retakes. Analyzing factors affecting the academic performance is seen on basis of information from the assessments database of UMU portal of Don State Technical University. Highlighted basic factors (objects) that affect academic performance: study groups, teachers, subjects, exams timetable. In this paper, application of clustering methods allowed to use variance analysis of averages. Through two-way analysis of variance (ANOVA) established significant impact of object classes "Teacher" and "Subject" on the percentage of positive evaluations received by students as a result of the session. Given an example of group, teachers and subjects classes, on which the examinations timetable has a significant impact on exam results

Keywords: higher education, academic performance, ANOVA, factors, clustering

In the article considered problem of formal proving existance of logically permitted of sequence study content of educational module (discipline). This content is treated as a hierarchical modular structure consisting of elementary modules. Each module of such structure considered as a display of input concepts (terms) into output, which being developed in this module. by input terms can be understand necessary concepts for develpoment of output terms in tuis module. in article introduce concept of didactic dependence between input and output terms. These dependences are formal apparatus describe restrictions in the logical content model. Presets rules of conversion didactic dependecy. The modular structure of the content and didactic dependecy considered as a formal apparatus description of semantics of subject field. It is shown that the introduction of set of terms and implicit rules of conversion didactic dependecy are allows to simplify a logical model of the content, without breaking its semantics. introduced the concept "closure of input terms module", shows an algorithm of its construction and the algorithm checks the logical connectivity of educational content.

Keywords: module educational-methodical complexes content, discipline, algorithm, term automatization