Educational and research competencies in the training of the course “Discrete mathematics” for training bachelors in computer engineering

Abstract

In this paper we consider the control problem of ensemble of trajectories for one In recent years, the importance of discrete mathematics has increased dramatically. This is not the name of a branch of mathematics such as number theory, algebra, calculus. This is a separate branch of knowledge, which is called “discrete” (individual). However, there are also processes of continuous mathematics, that is, it becomes a continuous whole. Discrete data can only take integer values, while continuous data can take any value. Discrete mathematics was created several decades ago and is the mathematical language of computer science. Scientists have found that the mathematical disciplines taught in universities are insufficient for learning a programming language. Therefore, they combine additional maths topics into one course, now called discrete mathematics. Discrete mathematics is the foundation of computer science and theoretical computer science. Without learning discrete mathematics, we miss the essence of the logic of computer science. Due to the multiplicity of objects within discrete mathematics, rational clarity in solving programming issues is possible. Every field in computer science is associated with discrete objects, be it databases, network components, computer organization, compilers, network programming, and so on. Essentially, discrete mathematics studies the concepts of counting, mathematical structures, logic, recursion, computational modeling, graph theory and algorithms, and many other disciplines. Evidence, a basic concept in discrete mathematics that includes deductive thinking, simplification, pattern identification, mathematical notation, working within constraints and conditions. This does not mean that a formal course in discrete mathematics is necessary or should be required for programmers. However, many of the concepts discussed in discrete mathematics are applied using this science. In this article, we will look at the basic postulates of discrete mathematics that are necessary to learn the basics of programming.