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Application of elements of studying the function of one variable when solving chemical problems
(Національний технічний університет "Харківський політехнічний інститут", 2021) Prishchenko, Olga Petrivna; Chernogor, Tetyana Timofiyivna
In the article some problems are examined with chemical maintenance, for the decision of that the elements of research of function one variable are used. A course of higher mathematics is basis of physical and mathematical training of specialists-chemists of university profile. The primary purpose of teaching of educational discipline "Higher mathematics" is preparation of students to using of modern mathematical vehicle as an effective instrument for the decision of scientific and practical problems in area of chemical and contiguous disciplines. Mathematics for chemical engineers is primarily a useful tool for solving many chemical engineering problems and tasks. It is difficult to find a branch of mathematics that is not at all used to solve these problems at all stages of their analysis. As a result of study of higher mathematics a student must know the methods of mathematical analysis in application to one function and a few real variables. Many chemical phenomena are described through functional dependence. At the study of chemical processes, it is necessary to use research elements functions of one variable, the exposure of properties of function, characterizing her different internals, behaves to that. In practical classes in higher mathematics, when considering the topic 'Derivative and its applications', it is often necessary to solve problems of a general nature. But for students of chemical specialties, tasks that are directly related to their profession are of greater interest. Thus, considering tasks similar to those given in this article, we will increase the interest and motivation of future specialists to study this material.
Analysis of opportunities of analytical method of optimization in chemical technology
(Національний технічний університет "Харківський політехнічний інститут", 2020) Prishchenko, Olga Petrivna; Chernogor, Tetyana Timofiyivna
The article analyzes the possibilities of optimization methods in chemical technology. The optimization of the technological process of production of any product contains an important stage - the determination (finding) of a mathematical model or the equation of the relationship of the output quality indicator of the product (target function, optimization parameter) with the parameters of this product or technological process (input factors). The search for optimal conditions is one of the most common scientific and technical problems. The process of solving these problems is called the optimization process or simply optimization. An example of optimization is the search for the optimal composition of multicomponent mixtures or alloys, increasing the productivity or operating efficiency of existing plants, improving product quality, reducing production costs. To solve optimization problems, you need to choose the right method. Of the main optimization methods that are most widely used in chemical technology, this article considers the analytical method.
Using of methods of cross-correlation and regressive analysis for determination of functional dependence between sizes
(НТУ "ХПІ", 2019) Prishchenko, Olga Petrivna; Chernogor, Tetyana Timofiyivna
In article it is told about use of methods of correlation and regression analysis when determining functional dependence between values. When studying different objects of a research in laboratory or working conditions there is a need of establishment of the most probable interrelations and interdependence between two or more variable. Sometimes it happens simply as communication easily is found or is in advance known from any theoretical premises. However identification of such communications between different indicators, factors is much more often, signs is extremely difficult task. Researchers face need of introduction of some hypothesis of the nature of communication in the form of functional dependence, i.e. approximation by its some rather simple mathematical expression, for example, linear equation or a polynomial. Methods of correlation and regression analyses are very useful to search of such mathematical functional or structural dependences between two or more variable (on the saved-up experimental data).

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