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Os teoremas de existência e unicidade de solução de um PVI e do fluxo tubular
(Universidade Federal de São Carlos, 2023-04-03)
The main objective of this course completion work is to present the foundations of the Qualitative Theory of Ordinary Differential Equations, a branch of Mathematics that is considered one of the most applied. The present ...
Aplicações das séries de Fourier
(Universidade Federal de São Carlos, 2023-03-31)
The focus of this project is the introduction to the study of Fourier series. The Fourier series that emerged from the studies of Jean Baptiste Joseph Fourier on the heat equation is an important tool in solving certain ...
Uma proposta didática para o ensino de áreas e volumes
(Universidade Federal de São Carlos, 2023-04-03)
This monograph discusses plane and spatial geometry in order to investigate the approach of the topics of areas and volumes in selected textbooks, as well as to study the theoretical prerequisites and the Cavalieri's ...
Matemática financeira: o Modelo de Markowitz
(Universidade Federal de São Carlos, 2023-04-03)
The aim of this work is to present a mathematical introduction to the main concepts involved in Markowitz Theory. The portfolio selection developed by Markowitz shows the importance of asset portfolio diversification, ...
Algoritmos numéricos aplicados a aproximação da taxa interna de retorno
(Universidade Federal de São Carlos, 2023-04-05)
The aim of this study is to explore a central topic in financial mathematics: the internal rate of return. To this end, the study begins by introducing basic concepts of financial mathematics and their possible everyday ...
Aspectos históricos e matemáticos da resolução de equações de 3o., 4o. e 5o. graus
(Universidade Federal de São Carlos, 2023-09-06)
During the years from 1530 to 1576, there were great mathematical advances in Europe, one of the greatest being the great duel of the resolution of the cubic equations, fought between Niccolò Tartaglia and Gerolamo Cardano, ...
A construção dos números reais desenvolvida por Richard Dedekind
(Universidade Federal de São Carlos, 2021-04-25)
In this work, we will study the emergence of incommensurability during classical antiquity and understand how this discovery was important for the development of real number theory during the arithmetic movement of analysis. ...
Análise de itens de matemática do ENEM Digital via taxonomia de Bloom
(Universidade Federal de São Carlos, 2022-09-27)
The Revised Bloom Taxonomy (RBT) allows classifying the actions necessary for the examinee to obtain a satisfactory performance in solving items through their cognitive aspects. In the scenario of Computerized Tests, ENEM ...
O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula
(Universidade Federal de São Carlos, 2022-09-30)
The motivation and unfolding of this monograph is to address 4 problems from the book The Man Who Counted, analyzing and characterizing the conceptions that the author had in his time and that persist until today, for ...
O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya
(Universidade Federal de São Carlos, 2021-11-26)
he aim of this work is to analyze the teaching materials of Dante e Viana (2008) and Iezzi e Hazzan (2019), indicated for Basic Education by the National Textbook Program (PNLD), with the help of the filing methodology. ...