Notas de clase • volumen II fundamentos de cálculo integral

Abstract

This document presents intellectual products derived from teaching practice and academic research, developed based on experience with students of Sports Administration and various engineering disciplines in courses on Calculus and Differential Equations. The materials are tailored to the specific context, needs, and unique characteristics of these academic programs, with the goal of facilitating the understanding of mathematical concepts through simple language, accessible explanations, and the simplification of proofs—while maintaining formal rigor where necessary. Furthermore, they incorporate the use of emerging technologies, such as the artificial intelligence tool Claude, to enhance the comprehension, drafting, and layout of the content. These resources are organized as study guides and reference materials for students in Sports Administration, as well as in Environmental, Forestry, Topographical, and Sanitary Engineering. The work is structured into three volumes that cover the sequence of basic mathematics and modeling required by the faculty’s academic programs.