ABOUT TEACHING THE COURSE “PROBABILITY THEORY” AT A TECHNICAL UNIVERSITY

Abstract

Some considerations are presented regarding the teaching of a probability theory course at a technical university. Probability theory is based on Kolmogorov’s axiomatics, which uses the concept of measure theory. It also uses the concept of the Lebesgue integral, which is completely unacceptable in engineering education. How course authors avoid these difficulties is well known. It is important that accessibility does not come at the expense of mathematical rigor. Probability theory is an applied mathematical discipline, therefore it is noted that when teaching this discipline one should pay attention to this aspect. The author suggests some methodological improvements to avoid complex proofs that are inaccessible to engineering students, but nevertheless clarify the situation. Methodological improvements related to the ongoing computerization of education and the creation of a digital educational environment are proposed. Issues related to monitoring student work play an important role. This is also discussed.