TCC - Licenciatura em Matemática (Sede)
URI permanente para esta coleçãohttps://arandu.ufrpe.br/handle/123456789/466
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20 resultados
Resultados da Pesquisa
Item A utilização da robótica como alternativa para o trabalho com comprimento da circunferência e ângulo(2019-07-24) Assis, Pablo Oliveira de; Costa, Wagner Rodrigues; http://lattes.cnpq.br/7087770599703498Math teachers often realize kids struggle about geometry and units of measurement. specifically, about angles and circumference applications. This article shows how these concepts can be explored using the educational robotic to reach an active learning over a teacher supervision. For this research we invited 6th grade students and the data showed that association with mathematics concepts and technology made it easier to think about math and use it to solve problems.Item Princípios Básicos de Mecânica Celeste(2019-12-19) Souza, Lucas Henrique Mendes de; Santos, Marcelo Pedro dos; http://lattes.cnpq.br/6209597830775891; http://lattes.cnpq.br/7001252732128332This work discusses the basic concepts for the study of the Celestia lMechanics. Assuming the three Newton’s Laws we demonstrate Kepler’s Laws. Inaddition, some specific concepts that arrise from Celestial Mechanics, are also studied, such as the areal speed, system angular momentum, orbit classification.Item Uma sequência didática para introduzir a eoria dos grafos no Ensino Médio: teoria matemática e prática docente(2019-12-18) Silva, Yasmim Eduarda Santiago da; Silva, Thiago Dias Oliveira; http://lattes.cnpq.br/7439995985621562; http://lattes.cnpq.br/2861415243055101In this work we present the basic concepts for the basis of the study of graph theory. We study special classes of graphs such as trees, Eulerian graphs and planar graphs. Next we apply this concepts to study two problems: Graph Coloring and the Chinese Postman Problem. Finally we include a didactic sequence that aims to teach graph theory to high school students.Item Existência e unicidade de solução para problemas envolvendo o operador Laplaciano(2019-12-17) Nunes, Thays Ingrid dos Santos; Araújo, Yane Lísley Ramos; http://lattes.cnpq.br/6642941380570085; http://lattes.cnpq.br/3740642465035306In this work we approach some basic concepts related to the theory of partial differential equations guaranteeing the existence of solution for problems involving the Laplacian operator. Initially, we use the method of variable separation and Fourier Analysis tools to ensure the existence of classical solutions to Dirichlet problems in the rectangle and unit disk involving the Laplace equation, as well as a maximum principle to ensure the uniqueness of the solution. Then, we use results from Functional Analysis and Sobolev spaces to ensure under certain conditions that there is only one weak solution to the Dirichlet problem involving the Poisson equation.Item Um estudo sobre equações diferenciais ordinárias em dinâmica populacional(2019-12-14) Franco, Mariana Pereira; Carvalho, Gilson Mamede de; http://lattes.cnpq.br/0044877127514130; http://lattes.cnpq.br/1514122794309246In this work we will emphasize a modeling by differential equations for the dynamics between two populations in a predation relation, which is known in the literature as Volterra’s Predator-Prey Model. With this purpose, we will present necessary mathematical tools for a proper problem analysis: a brief study of the solution methods for some ordinary differential equations, the results that underlie them and some aplications; and notions of stability of singularities of autonomous systems.Item Um estudo sobre completude e compacidade em espaços métricos(2019-12-18) Silva, Hugo Henryque Coelho e; Araújo, Yane Lísley Ramos; http://lattes.cnpq.br/6642941380570085; http://lattes.cnpq.br/1324983852661350In this work we will present a study about the theory of complete and compact metric spaces. Initially, we will cover some basic concepts related to the theory of metric spaces, continuity and sequences in metric spaces. Next, we will list a motivation for the study of the theory of complete metric spaces, some of their properties and valid results in these spaces, such as Baire’s theorem and Banach’s fixed point theorem as well as some of its applications. Finally, we will present a study about the theory of compact metric spaces, addressing its general properties and some important results of the mathematical analysis that are valid in these spaces, as we can mention Riesz theorem and Ascoli-Arzelá theorem.Item Introdução às Transformações de Möbius: aspectos geométricos e algébricos(2019-12-27) Santos, Elisa Joaquim; Silva, Adriano Regis Melo Rodrigues da; http://lattes.cnpq.br/5945502241642845; http://lattes.cnpq.br/7256135624977554Möbius transformations are important complex rational functions for mathematics and other areas. They belong to the set of maps that preserve angles, called conformal, and that are applied in various physical problems. The aim of this work is to introduce in a geometric and algebraic way the Möbius transformations, using basic geometry and encouraging its study through its application. For this, we will introduct preliminary notions of complex numbers, plane transformations, stereographic projection, Riemann sphere and the relationships between these concepts and Möbius transformations. Finally, we obtain algebraic classification for these transformations.Item Os conceitos de fração parte-todo, quociente e operador: a necessária diferenciação desses subconstrutos na prática docente(2019-08-12) Brito Junior, Jairo Jose Ribeiro Toscano de; Rodrigues, Cleide Oliveira; http://lattes.cnpq.br/2951731416008876; http://lattes.cnpq.br/1567270124477805Item Estágio supervisionado III: experiências vivenciadas em turmas do 8° e 9° ano do ensino fundamental de uma escola pública do Estado de Pernambuco(2018) Silva, Rayssa de Moraes da; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/8593286814153182Item Estratégias e dificuldades de alunos do 9º ano do ensino fundamental na resolução de equações do primeiro grau(2019) Santos, Tayslane Rafaela Silva dos; Almeida, Jadilson Ramos de; http://lattes.cnpq.br/5828404099372063; http://lattes.cnpq.br/2211193493479229