Keyword: «function»

The hierarchical classification of topographical schemes for clothes designing with the gradient distribution of zone characteristics is developed. The logical approaches to completing of schemes for the optimal problem solving of accordance of designed clothes with mono- and multifunctional purpose are introduced in this article.

The paper has methodical and popular scientific character and is devoted to some problems of teaching those courses of school mathematics, which such thing as functional equation definitions is actually applied, but without the use of exact.

The paper solves the problem of elementary functions study on monotony and convexity graphics, without using derivative, but by definition. The solution is the method that is called the method of generalization. The result is the function, which determines the intervals of constant sign intervals of monotonicity and convexity of the graph of original function.

The paper considers the definition of monotonicity of the function using visual, verbal, analytical and geometric methods. The author formulates signs and appropriate ways to study functions on monotonicity using generalizations and first order derivative.

In this article presents a point of view on the organization of socio-cultural animation programs in the educa-tional process and life of the population; denotes the integration of the creative practice of socio-cultural activities and psychological and pedagogical foundations of animators training in university culture.