Studying the Discipline of Computational Methods Using a Design Approach
Abstract
This article is about of the experience of mastering the discipline "Computational Methods" by students of the direction 02.03.02 Fundamental Informatics and Information Technologies of Nizhny Novgorod State University, where a student, under the general guidance of a mentor, independently carries out research work, repeating and consolidating theoretical knowledge and forming the skills and abilities of general professional and professional competencies, including IT-directions. It is the elements of research education that contribute to a more active independent work of the student, which is not always successfully attainable in universities and therefore is considered relevant in teaching.
Further, in the article the choice of topics is justified. Next, the authors describe the progress of one of the works: the problem of finding the optimal control with an initial-boundary value problem for an equation of hyperbolic type and a phase constraint. It shows the transition to an integral-differential equation to automatically satisfy the phase constraint. The student, applying one of the methods for finding the minimum, finds the optimal value of the truncated problem, thereby obtaining a minimizing sequence. The convergence of the sequence of optimal values of the objective functions of the truncated problems to the optimal value of the original is proved. Screenshots of a program written by the popular algorithmic Python language, performed by one of the students, are presented. Thus, the authors describe their experience of merging in the educational process of science and the IT-industry, where one cannot prepare a competitive graduate without the other.
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