Browsing Matemática Licenciatura - ML by Title
Now showing items 1-20 of 52
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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 ... -
Análise de componentes principais e ajustes de funções aos dados de COVID-19
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 09/02/2024)In this work it is defined what are principal components of multivariate data as well as their importance, their properties and their applications. We will then analyze the possibility of applying the PCA to Covid-19 data ... -
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 da álgebra linear em processamento de imagens digitais
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/02/2024)This paper clearly presents how Linear Algebra is fundamental in digital image processing, an area that emerged along with technological advances and image transmission techniques to facilitate their visualization and ... -
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 ... -
Classificação das álgebras de Lie semi-simples complexas e reais
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 09/02/2024)In this work, we present the classification of real and complex semisimple Lie algebras. Actually, we only introduce the real case, while we show the complete classification in the complex setting. In order to achieve this ... -
Cohomologia de feixes
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 18/09/2024)This work aims to present and study Sheaf Cohomology, which is a theory used measure the obstruction of solving a problem globally when it can be solved locally. To this end, we discuss basic definitions and results from ... -
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 cálculo de áreas na educação básica e aplicações
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)We address the teaching of area and volume calculations, employing axiomatic and elementary approaches. Furthermore, we study them through the Method of Slicing and the Principle of Cavalieri, as derived from Integration ... -
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. ... -
Estrutura de álgebras associativas com dimensão finita
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 19/09/2024)The present work aims to introduce concepts and properties of finite-dimensional associative algebras, in order to describe their structure. In the first chapter, we will present properties of a few algebraic structures, ... -
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 ... -
Um estudo sobre modelos Markovianos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 17/09/2024)Markov chains have a range of applications within modeling, and due to their importance, are greatly studied in the literature. Herein, the objective of this paper is to study first-order Markov chains, presenting the ...