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The article outlines aspects of the formation of general professional competencies (GPC-1) through the study of mathematical disciplines; reveals the features of the methodology for the application of tasks (tasks of profile content, task case, task-situation), which are the main means of assessing the formation of the corresponding indicators of achievement of competence: ID-1, ID-2, ID-3, etc. The work analyzed educational publications in mathematical disciplines for the presence of tasks for an objective assessment of the level of formation of general professional competence (GPC-1), the problem of developing the content of criteria and assessment tools for formation of general professional competencies. The authors provide examples of tasks in the disciplines of Higher Mathematics and Mathematics and Mathematical Statistics, designed to form skills in identifying and defining a problem, choosing research methods, analyzing, interpreting the result and transferring fundamental knowledge into the language of professional activity.

The article describes the aspects of forming general professional competences (GPC-1) through the study of mathematical disciplines; reveals the features of the methodology for the application of problems (profile content problems, case tasks, problem-situations), which are the main means of assessing the formation of the corresponding indicators of competence achievement: AI-1, AI-2, AI-3, etc. The work analyzes textbooks on mathematical disciplines for the presence of problems for objective assessment of professional competence formation level (GPC-1), the problem of the development of the criteria content and assessment tools for formation of professional competences is identified. The authors give examples of problems in the discipline of Mathematics and Mathematical Statistics, designed to form skills for identifying and defining the problem, choosing research methods, analyzing, interpreting the result and transferring fundamental knowledge to the professional activity language.

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the timeliness of information received during the implementation of any production process, as well as its qualitative composition, significantly affect the efficiency of this process. This is particularly important for agricultural production, as field operations are highly time-sensitive, both in terms of start-up and duration. The real possibility of a significant increase in the efficiency of production processes in crop production appeared at the current level of information technology and the spread of digitalization of various fields of activity. On the basis of existing methodological approaches to the system representation of objects of reality, we have developed an information system of the production process in crop production. The elements of the system are the amount of knowledge of specialists in the cultivation of crops, information about the composition of cultivation technologies, information about the objects processed in the implementation of production processes, recorded in any form replenished special knowledge, knowledge about the goals achieved in the implementation of production processes. Elements of the system are interconnected, developing in a certain way and, at the same time, limiting each other. The formalization of the relationships between elements of the information system allowed us to obtain ten equations with fifteen unknowns. To solve this system of equations, a set of simultaneous linear equations is presented. Five sets of simultaneous equations can be defined, depending on which of the relationships of the elements of the information system of the type fi will be broken. The obtained solutions will allow to quantify the volume of elements of the information system, which makes it very promising to use information technology management of production processes in crop production.