Navegando Matemática Licenciatura - ML por título
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Algoritmos numéricos aplicados a aproximação da taxa interna de retorno
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 05/04/2023)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 ... -
Uma análise de elementos matemáticos presentes na gravura Melancolia I de Albrecht Dürer: poliedro, esfera e quadrado mágico
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 23/12/2021)This monograph addresses as its main theme Albrecht Dürer's Melancholia I, an engraving that is full of philosophical and mathematical meanings. With a didactic and mathematical approach, we aim to contextualize the ... -
Análise de itens de matemática do ENEM Digital via taxonomia de Bloom
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)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 ... -
Aplicações das séries de Fourier
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 31/03/2023)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 ... -
Aspectos históricos e matemáticos da resolução de equações de 3o., 4o. e 5o. graus
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/09/2023)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, ... -
Cálculo variacional: uma breve introdução e aplicações
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/02/2024)The aim of this end-of-course work is to present a brief introduction to variational calculus and its applications. In this way, the development consists of recalling concepts of normed vector spaces, metric spaces and ... -
A construção dos números reais desenvolvida por Richard Dedekind
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2021)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. ... -
Construção dos números reais: embasamento teórico e experiências na escola
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)The presented research will focus on the construction of real numbers (R) through Dedekind cuts its use in education, with experiences in high school classes at a public school in São Carlos. The overall objective of the ... -
Criptografia RSA: aspectos históricos e matemáticos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)This work studies aspects of RSA public key cryptography and its relationship with number theory, in particular with the properties of prime numbers. The methodology is based on bibliographical research. The study is based ... -
O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)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. ... -
Estudo das envolventes de curvas com aplicações no Geogebra
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 29/04/2022)In this work we will study several families of plane curves and their envelopes. We present the methods that make it possible to obtain the envelopes for parameterized curves and for equations involving parameters. Two ... -
Estudo de ferramentas estatísticas para a análise de itens em relatórios pedagógicos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2022)This degree final monograph the analysis of math items in pedagogical reports of external evaluations. In this direction, it is pointed out in the literature that math teachers have difficulties in interpreting and in ... -
Um estudo investigativo sobre as dificuldades dos professores de Matemática iniciantes do ensino remoto
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)Many researchs bring reports of difficulties that beginning teachers faces in the classroom with face-to-face teaching, such as lonelyness, lack of preparation to deal with students, with educational management, among ... -
O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)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 ... -
Uma introdução aos espaços métricos e aos espaços vetoriais normados
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)In this work, we present an introduction to Metric Spaces, starting with the definition and examples, defining and understanding the primary concepts of this context, such as open and closed balls, open and closed sets as ... -
Uma introdução aos inteiros gaussianos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)This monograph presents the principles of number theory, formally establishing important arithmetic facts that characterize the systems in question. It sought to develop theory in an axiomatic way, from the principles of ... -
Matemática financeira no cotidiano dos brasileiros
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/01/2021)This monograph is a study of topics on Financial Education – its history, the nowadays brazilian panorama on this subject, the National Strategy on Financial Education (ENEF) and the DICTs (Digital Information and Communication ... -
Matemática financeira: o Modelo de Markowitz
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)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, ... -
Métodos numéricos aplicados a dinâmica orbital
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/11/2021)In this dissertation we aim to study the applications of numerical methods to orbital dynamics, among which the main ones are the 4th order Runge-Kutta and debugging via manufactured solution. A brief introduction to the ... -
Modelagem matemática e a BNCC do Ensino Médio
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)This Course Conclusion Work aims to build relationships between the work with mathematical modeling according to the concepts of Bassanezi (2002) and Burak (1992), and the learning objectives proposed by the High School's ...