Modelagem matemática utilizando interpolação de Lagrange: a relação entre o crescimento populacional e a oscilação da temperatura no município de Resende-RJ

Abstract

This study aimed to validate the hypothesis that assumes the occurrence of significant changes in the municipality of Resende-RJ temperature between 1961 and 2012 and proposes to investigate the influence of population growth in the oscillation of the records. Upon the importance of the issue and its potential to reduce the distance of mathematics with reality, through modeling, the research was conducted in the classroom and technical visit the Federal Rural University of Rio de Janeiro (UFRRJ) for high school students coach of the Support Foundation of the State technical School of Rio de Janeiro (FAETEC-RJ), Volta Redonda. During the meetings, the aim was to reconcile the development of environmental issues with the mathematical tools, in particular the Lagrange interpolation, generating graphics by means of software Geogebra and Excel. With the data analyzed and observed years, one can see the variation in temperature and the municipality to assume that there was an increase since 1961. Furthermore, based on investigations conducted, one can conjecture that population growth is one of the factors that influence climate change.