Implementation of the proposed multivariate examples of problem solving in the educational process requires the development of a theoretical base and practical applied research with the introduction and use of information technologies in the educational process. The considered multivariate principle of solving examples of standard problems by conducting a computational experiment in computer mathematics systems using methods from different sections of mathematics should be the basis of the educational process. Variants of the implementation of a single author's method, in which methods of various branches of mathematics are involved: analytical geometry, integral calculus, numerical methods, data structures and algorithms, unification of continuous and discrete mathematics, are studied.