Ajuste de curvas usando métodos numéricos

• Ano de defesa: 2018
• Autor(a) principal: Sousa Neto, Theófilo Machado de
• Orientador(a): Vieira, Ewerton Rocha
• Banca de defesa: Vieira, Ewerton Rocha, Andrade, Kamila da Silva, Lima, Dahisy Valadão de Souza
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)
• Departamento: Instituto de Matemática e Estatística - IME (RG)
• País: Brasil
• Palavras-chave em Português: Dados experimentais; Métodos de ajustes de curvas; Regressão por mínimos quadrados; Interpolação; Educação básica
• Palavras-chave em Inglês: Experimental data; Methods of curve fitting; Least squares regression; Interpolation; Basic education
• Área do conhecimento CNPq: MATEMATICA APLICADA::ANALISE NUMERICA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/8755

Given the need to discuss mathematical methods capable of adjusting curves that represent experimental data. This work presents seven methods of curves adjustment, three of these, methods that use least squares regression techniques and the other four, using interpolation techniques. Initially, it brings some definitions that present to the reader all the mathematical foundation that rules the equations. In parallel, it seeks to discuss, through examples, the area of attribution of the described methods, realizing whenever possible a comparation between the several techniques presented and their errors in the estimates. In order to demonstrate that the techniques discussed here are feasible for use in basic education, it exposes an experience of applying one of these methods in solving a basic problem of the discipline of Physics. After presenting the step-by-step method of obtaining soil resistivity, a variable that is of the utmost importance for the elaboration of projects for grounding meshes that supply energy substations, We finish this work by solving the problem with the aid of adjustment techniques curves studied, proposing the inclusion of the methods addressed in one of the steps of the procedure to obtain soil resistivity.