Abstract:

A question that students usually ask in mathematics subjects is the final purpose of what they are learning. The aim of this work is to describe the implementation of a real-world application in connection with the well-known Sustainable Development Goals (SDG) in the subject of Calculus for Geomatic and Surveying Engineering, at the Universitat Politècnica de València (Spain).

In Geomatic and Surveying Engineering students are supposed to be able to analyze geographical information associated to landscapes. They acquire proficiency in diverse geospatial technologies, tools, and methodologies that are essential for studying the territory. In this engineering, mathematics is crucial, since it provides students useful tools for understanding other subjects related to the study of the territory.

In alignment with the United Nations General Assembly's SDGs, comprising 17 goals aimed at addressing global challenges and promoting sustainable development across economic, social, and environmental spheres, Geomatic and Surveying Engineers assume a vital role. They provide a comprehensive framework for addressing global issues related to land management, environmental sustainability, urban planning or resource location, thus contributing directly to the achievement of several SDGs.

The objective of this work is to present a laboratory practice in Calculus subject where the student applies the knowledge acquired during this subject to solve a real-world problem. This problem is related to the SDGs, in particular to 3 (Good Health and Well-Being) and 9 (Industry, Innovation and Infrastructure).

The problem to solve is as follows: Let us assume that there are three health centers located on a hill defined by a certain plane, z=P(x,y). We propose to find the location of a healthcare equipment distribution center so that the dispensing transport moves the minimum distance per day knowing the different daily frequency it must dispense material to each one of the three health centers.

Using Mathematica software, the students define the positions of the three health centers and, assuming that the distribution center is located on the hill (x,y, P(x,y)), they compute the distance that the dispensing transport must travel each day. To obtain the distribution center position, it is enough to compute the gradient of the distance, to obtain the roots, and then evaluate these roots in the Hessian matrix.

At the end of this session, a survey was conducted to obtain feedback from students. It is important to remark on the excellent reception of this type of activities by the students. Around 90% of the students like this activity. According to their feedback, these kinds of activities make sense of what they are studying.

Keywords:

Sustainable Development Goals, Applications, Mathematics, Engineering.