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The article describes how important an impact of own-study work skills for development of mathematical competences based on the analysis of the scientific literature. The paper presents organization order of Applied Mathematics own-study work as well as examples of tasks and their links with development of mathematical competences. This article presents a study aimed at determining how students understand which of mathematical competencies developed by doing independent work, as well as the results of individual work influence to the final exam Applied Mathematics assessment, analysis of the results. [ABSTRACT FROM AUTHOR]