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The field of numerical mathematics is one of the basic mathematical areas of training of future mathematicians. It plays an important role in the sense of connecting theoretical knowledge with practice. At the same time, it is one of the courses that specifically applies students' computer knowledge in solving mathematical problems. As a number of mathematical software and programming languages are emerging with the rise of IT technology, the question arises as to how to build the concept of teaching numerical mathematics. Models that have been used for a long time are already proving to be non-functional and significant innovation is needed. The paper will describe the structure of teaching numerical mathematics at the University of Ostrava, its innovations and teaching experience. [ABSTRACT FROM AUTHOR]