The aim of this study is a search contemporary approaches to the mathematical analysis presentation for students. Objectives of the study is analysis of existing approaches to the presentation material on the function of several variables, providing applied orientation of learning, development of e-learning courses on mathematical analysis for blended learning. The object of research is process of mathematical analysis learning. The subject of research is the use of ICT at teaching mathematical analysis for the future teachers. In this paper the analysis of the problems of mathematical analysis teaching is highlighted (especially to the applied orientation of learning mathematics). Examples of disclosure of uncertainties that need more research in determining the extremum of functions of several variables is reviewed. Results of the study is planned to summarize for the development of software using recommendations.