Students and teachers of mathematical specialties

Two proofs of invariance of rotor w.r.t. replacement of a basis as an example of the relationship of courses of physics and mathematics

M. R. Bortkovskaya, T. R. Stepanova

Peter the Great St. Petersburg Polytechnic University

Abstract: In the paper, using the example of two different proofs of the invariance of the rotor with respect to a replacement of a basis, the methodology of teaching vector calculations in coordinates is demonstrated; the methodological justification of the need to master this technique for solving problems in physics is given; the possibility of using the studied methodology to create an interdisciplinary connection between mathematics and physics in the educational process of technical and physical areas of study of university students is shown.

UDC: 517.28