Differential geometry in engineering education

Abstract

The goal of classical differential geometry is to study curves and surfaces in R³ uses the techniques of differential and integral calculus. This mathematical discipline is strongly based on knowledge of linear algebra and calculus, hence the elements of classical differential geometry appeared in advanced analysis courses in former university level education in engineering. The implementation of the Bologna process, the admission of the two-cycle system have led almost completely to the exclusion of differential geometry from bachelor's degree programs. This paper is devoted to a short overview of the above-mentioned topics and to give some applications.