Vector Functions of a Real Variable: Analysis, Applications, and Teaching Strategies in the Engineering Program at TecNM’s Veracruz Campus

• DOI: https://doi.org/10.22533/at.ed.13176226240214

• Palavras-chave: Vector functions, Teaching strategies, Engineering students

• Keywords: Vector functions, Teaching strategies, Engineering students

• Abstract:

  The subject of analysis is mathematics education, specifically Vector Calculus, which is taught in the third semester of the engineering program at TecNM Campus Veracruz, where engineering programs are offered in eight different specializations, six of which include the Vector Calculus course in their curricula. Understanding the variation of functions in space is somewhat difficult for students, as they must connect theoretical knowledge and apply it to everyday engineering situations. Its study and interpretation extend to all engineering disciplines—mechanical, electrical, mechatronics, electronics, aeronautical, and civil—and its correct interpretation enables the understanding of complex phenomena.  
  This project aims to provide methodological strategies, promote collaborative learning, and utilize digital tools that can be applied in the classroom as the course content progresses. This work offers a conceptual and methodological framework to facilitate deep learning of vector functions by establishing a connection between theoretical concepts and graphical visualization through the use of digital tools.