The purpose, of the method by structural discovery, is to guide the teacher in the classroom work in order to achieve a teaching-learning process with comprehensive tools, where it is the student who builds their own knowledge based on problem solving, critical thinking of the investigations that it can carry out to nourish itself with information on a certain area and based on its particular interests, thus allowing to enhance its development. The objective of this article is to analyze the method by structural discovery in university mathematical learning during the new normal by Covid-19, applied to students of the III cycle of the Systems Engineering Career of the Autonomous University of Peru, focused on the Mathematics II content, developed by competencies. From the total population of students, a sample of 40 students was drawn, selected in a non-probabilistic and intentional way. The study corresponds to the approach of type applied in social technology, in the field, using the technique of specific tests of knowledge, and observation. As a result, learning mathematics by competencies, using the method by structural discovery, is an important tool, but it must be adapted to the contextuality incorporating telecommunications to achieve better results.