ABSTRACT

The Study makes a retrospective look at the process of informatization of engineering education, in particular, on the ways of solving problems on analog, digital and hybrid computers. Binary, ternary, octal, decimal and hexadecimal formats for displaying numerical information “for printing” are touched upon, as well as paradoxes that arise. The advantages and disadvantages of analog, digital and hybrid computers are considered. We consider the simplest digital, analog and hybrid computers in conjunction with everyday items (cars, watches, etc.). The interaction with analog computers is described as a symbiosis of science and art. The analysis of architectural peculiarities and principles of work of the legendary Soviet analog computer MN-7 is given. The reasons for the decline of analog computers and the transition to digital technology are analyzed.

Examples are given of the use of hybrid computers at the present time, as well as the renaissance of analog devices and methods these days. The concept of a hybrid solution of the problem is introduced on the modern digital computer, which includes elements of the symbolic (analytical) and numerical (approximate) approaches. Using the example of solving an optimization problem (minimizing the surface of geometric bodies for a fixed volume), we examine the tools of the computer mathematics systems Mathcad (engineering calculator) and Maple: solving algebraic equations and systems, simplifying expressions, taking the derivative, etc. We conclude that modern mathematical programs give us new opportunities for solving problems in a hybrid way. We suggest ideas for registration of prize cups for winners of mathematical Olympiads.

Mathematics: Numbers with different bases, the derivative of a function, the search for zeros of a function.

Physics: Hybrid cars.

IT: Digital, analog and hybrid computers.

Art: Beautiful cup-winning mathematical Olympiad.

Study website: https://community.ptc.com/t5/PTC-Mathcad/Study-25/m-p/615013" xmlns:xlink="https://www.w3.org/1999/xlink">https://community.ptc.com/t5/PTC-Mathcad/Study-25/m-p/615013.