Basics of Vector Calculus with Some Applications

This text is aimed at students of Engineering programs and related fields of the Universidad Nacional Abierta y a Distancia (UNAD for its Spanish acronym) and other universities. It has basic material for a course of Introduction to Linear Algebra and elements of Vector Calculus. It emerges as a didactic proposal that encourages students to learn autonomously, by providing them with conceptual tools and detailed answers to exercises and problems, and involving previous fundamental concepts seen in the courses of Differential Calculus and Integral Calculus.
This proposal has been designed for students not to stop their learning process due to conceptual gaps or obstacles, or concepts they may have forgotten. On the contrary, by mobilizing all the knowledge through the well-detailed example, we guarantee conceptual maturity in the constructions projected in the Linear Algebra and Vector Calculus courses. This plan has been developed with the participation of the networks of tutors in the last few years at the School of Basic Sciences, Technology, and Engineering of the Universidad Nacional Abierta y a Distancia (UNAD).