Matemática Licenciatura - ML: Recent submissions
Now showing items 1-20 of 52
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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 ... -
Introdução à álgebra e à geometria tropicais
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/02/2024)In this Thesis, we explore a brief introduction to Tropical Algebra and Geometry. We present fundamental definitions and properties of the operations that constitute the tropical semiring, as well as the study and ... -
Simetria na Educação Básica a partir de uma perspectiva artística
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/02/2024)In this work, the aim is to provide a reflection on symmetry in Basic Education, emphasizing the relevance of the dialogue between Symmetry and Art for the teaching and learning process. In order to achieve this goal, an ... -
Matemática com barbantes: uma introdução à Teoria dos Nós
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/02/2024)This work aims to present a proposal for teaching Knot Theory through magic tricks and games with yarn, introducing mathematical concepts in a playful way in Basic Education. Initially, there will be a contextualization ... -
O novo Ensino Médio: na teoria e prática
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 01/02/2024)During an intense process of curriculum reformulation following the approval of the National Common Core Curriculum (Base Nacional Comum Curricular (BNCC)), this monography seeks to understand the main changes for a secondary ... -
Teorema de Gauss-Bonnet via formas dferenciais
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 19/09/2024)This monograph focuses on demonstrating and understanding the geometric motivation of the Gauss-Bonnet Theorem. To this end, the project initially envisages the study of differentiable manifolds, tangent space, cotangent ... -
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 ... -
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, ... -
Geodésicas em superfícies
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 16/09/2024)The main objective of this monograph was to study geodesics on surfaces of revolution. We defined the concepts of covariant derivative, parallel transport, geodesic curves, the algebraic value of the covariant derivative, ... -
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 ... -
Manim como ferramenta didática para potencializar o ensino de cálculo
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 17/09/2024)Visualization in Mathematics is an area of research that studies visual elements in computational tools, such as graphs, diagrams and geometric representations to communicate certain mathematical content that can assist ... -
Regressão múltipla e logística: explorando suas relações e aplicações
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)This thesis explores statistical regression techniques, organized into three main sections. The first section addresses the construction of linear regression using the least squares method, which minimizes discrepancies ... -
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 ... -
Práticas de desafios matemáticos como introdução à Probabilidade
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/02/2024)This work aimed to expand and develop methods for teaching and learning of Mathematics, in particular, seeking possibilities for introducing probabilities for Basic Education through the use of mathematical challenges and ... -
Processos de decisões de Markov
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)This study explores Sequential Markov Decision Models, or Markov Decision Processes (MDPs), which are used for sequential decision-making in stochastic environments. With practical applications in areas like marketing and ... -
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 ... -
Explorando hexágonos regulares: uma abordagem prática com o GeoGebra na resolução de problemas
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/02/2024)This study will explore the use of the GeoGebra software, introducing and investigating the concept of dynamic geometry through a step-by-step methodology, which allows for the construction and manipulation of geometric ... -
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 ... -
A jornada de uma estudante neurodivergente na licenciatura em matemática: estudos e reflexões
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 09/02/2024)This work describes the academic journey of the first author in a Mathematics Teaching Degree, emphasizing her experiences as a neurodivergent individual (with Attention Deficit Hyperactivity Disorder, dysorthographia, and ... -
Uma introdução ao estudo das singularidades de aplicações diferenciáveis
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 18/09/2024)The present work aims to develop the requirements for a study in singularity theory. To achieve this, it will address concepts of linear algebra, calculus, n-dimensional smooth manifolds, tangent space, germs of smooth ...