Licenciatura em Matemática (Sede)

URI permanente desta comunidadehttps://arandu.ufrpe.br/handle/123456789/24

Siglas das Coleções:

APP - Artigo Publicado em Periódico
TAE - Trabalho Apresentado em Evento
TCC - Trabalho de Conclusão de Curso

Navegar

Agora exibindo 1 - 2 de 2

Um estudo comparativo entre espaços vetoriais normados de dimensão finita e infinita
(2022-06-09) Carvalho, Yasmin Lopes de; Barboza, Eudes Mendes; http://lattes.cnpq.br/9426464458648172; http://lattes.cnpq.br/5996127469682998
Vector spaces are structures in which we can add elements and multiply their elements by scalars. When a vector space is provided with a norm, we can also verify metric and topological properties. In Linear Algebra, we study important results that hold for finite-dimensional vector spaces. However, we cannot always extend these results to infinite-dimensional normed vector spaces. With the help of Linear Algebra, Metric Spaces and Functional Analysis, we will see basic notions and enough tools to discuss some differences between normed vector spaces of finite and infinite dimensions. The differences we’ll see are related to norms, linear transformations, completeness, compactness, and closed vector subspaces. We will show valid results for finite dimensional spaces and present examples and counterexamples to show that such results are not always valid in infinite dimensions.
Geometria na OBMEP: uma análise de questões da primeira fase do nível 2 à luz da BNCC
(2023-09-20) Silva, Luiz Guilherme Machado e; Barboza, Eudes Mendes; http://lattes.cnpq.br/9426464458648172; http://lattes.cnpq.br/0988088024884324
The Brazilian Mathematical Olympiad for Public Schools (OBMEP) is applied nationally and reaches a large proportion of Brazilian students. Thinking about it, this work aims to carry out a data survey, in order to clarify which are the skills of the National Common Curricular Base (BNCC) of the thematic unit of Geometry that have more recurrence in OBMEP. For this, the questions dealing with Geometry at OBMEP, level 2, 1st phase, between the years 2017 and 2022 were analyzed.It is worth noting that in the years 2020 and 2021 there were no applications of the tests due to the Covid-19 pandemic. Thereby, this work is a facilitator material for teachers who seek to work Geometry in the classroom using Olympic questions and also for students who intend to participate in Mathematics Olympics.