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Aplicações da álgebra linear em processamento de imagens digitais
(Universidade Federal de São Carlos, 2024-02-07)
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 ...
Teorema de Gauss-Bonnet via formas dferenciais
(Universidade Federal de São Carlos, 2024-09-19)
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, 2024-09-17)
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 ...
O novo Ensino Médio: na teoria e prática
(Universidade Federal de São Carlos, 2024-02-01)
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 ...
Matemática com barbantes: uma introdução à Teoria dos Nós
(Universidade Federal de São Carlos, 2024-02-06)
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 ...
Simetria na Educação Básica a partir de uma perspectiva artística
(Universidade Federal de São Carlos, 2024-02-06)
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 ...
Introdução à álgebra e à geometria tropicais
(Universidade Federal de São Carlos, 2024-02-07)
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 ...
A jornada de uma estudante neurodivergente na licenciatura em matemática: estudos e reflexões
(Universidade Federal de São Carlos, 2024-02-09)
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 ...
Classificação das álgebras de Lie semi-simples complexas e reais
(Universidade Federal de São Carlos, 2024-02-09)
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 ...
Explorando hexágonos regulares: uma abordagem prática com o GeoGebra na resolução de problemas
(Universidade Federal de São Carlos, 2024-02-06)
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 ...