https://repositorio.ufpb.br/jspui/handle/tede/4327 PROFMAT Sun, 03 May 2026 04:24:18 GMT 2026-05-03T04:24:18Z https://repositorio.ufpb.br/jspui/handle/123456789/37737 Título: Um estudo sobre as leis dos cossenos, senos, tangentes e cotangentes explorando os pacotes gráficos do LATEX: ‘animate’, ‘tikz’, ‘tkz-base’ e ‘tkz-euclide’ Autor(es): Lima, Marconi Ferreira Orientador: Bezerra, Flank David Morais Abstract: In this work we discuss some results of trigonometry, more precisely, we study the laws of cosines, sines, tangents and cotangents exploring the graphical packages of LATEX: ‘animate’, ‘tikz’, ‘tkz-base’ and ‘tkz-euclide’. We present geometric proofs and “proof without words” of these results, as well as some curious consequences. Finally, we explore some generalizations of these results in the context of spherical geometry, and we provide some of the LATEX element sets needed to produce most of the figures presented here. Editor: Universidade Federal da Paraíba Tipo: Dissertação Mon, 21 Jul 2025 00:00:00 GMT https://repositorio.ufpb.br/jspui/handle/123456789/37737 2025-07-21T00:00:00Z https://repositorio.ufpb.br/jspui/handle/123456789/37736 Título: Modelagem e impressão 3D como ferramenta de ensino da geometria Autor(es): Medeiros, Yago José Gomes de Orientador: Medeiros, Adriano Alves de Abstract: This dissertation explores the use of 3D modeling and printing as a pedagogical tool for teaching geometry in lower secondary education. Recognizing the challenges commonly faced in teaching geometric content—often delayed or addressed in a purely theoretical manner—the study proposes an innovative and practical approach that integrates technology into mathematics education. Using the Tinkercad platform, a didactic sequence was developed for 8th and 9th-grade students, focusing on topics such as volume of solids, ratio, proportion, and percentage. Students create 3D models of geometric shapes and then print them, transforming abstract mathematical concepts into tangible objects. The adopted methodology enables more meaningful and engaging learning experiences, aligned with the Brazilian National Common Curricular Base (BNCC), while also fostering skills such as creativity, spatial reasoning, and problemsolving. The results indicate that integrating mathematics with digital technologies can make the teaching and learning process more effective, attractive, and aligned with 21stcentury educational demands. Editor: Universidade Federal da Paraíba Tipo: Dissertação Fri, 22 Aug 2025 00:00:00 GMT https://repositorio.ufpb.br/jspui/handle/123456789/37736 2025-08-22T00:00:00Z https://repositorio.ufpb.br/jspui/handle/123456789/35837 Título: Teoria espectral para semigrupos de operadores lineares e limitados e aplicações Autor(es): Silva, Maria Jaislayne Moisés da Orientador: Bezerra, Flank David Morais Abstract: In this work we discuss the spectral theory for semigroups of bounded linear operators; namely, we study the spectral theory of closed and densely defined operators in Banach spaces, semigroups of bounded linear operators, sectorial operators in Henry's sense, and fractional power theory for K-positive linear operators in Amann's sense. Furthermore, we present some applications of this theory from the study of papers: A. Cwiszewski and K. P. Rybakowski, “Dynamics of strongly damped beam equation”, Journal of Differential Equations, (2009); S. Chen and R. Triggiani, “Proof of extensions of two conjectures on structural damping for elastic systems”, Pacific J. Math., (1989); J. A. Goldstein, “Some remarks on infinitesimal generators of analytic semigroups”, Proceedings of the American Mathematical Society, (1969). Editor: Universidade Federal da Paraíba Tipo: Dissertação Thu, 12 Aug 2021 00:00:00 GMT https://repositorio.ufpb.br/jspui/handle/123456789/35837 2021-08-12T00:00:00Z https://repositorio.ufpb.br/jspui/handle/123456789/35834 Título: Teoria dual no ambiente de classes de sequências e aplicações Autor(es): Araújo, Álvaro Rocha de Orientador: Campos, Jamilson Ramos Abstract: The objective of this work is to present a study of the dual theory for ideals of operators through the concept of the dual of a class of sequences. We will begin by introducing the notion of the dual of a class of sequences, which we will denote by Xdual, and then present a study on this class, working on conditions under which the classical duality of sequence spaces is obtained. We will study the adjoint and biadjoint operators in this context, as well as conditions for the maximality of ideals characterized by the environment of classes of sequences. Editor: Universidade Federal da Paraíba Tipo: Dissertação Fri, 21 Feb 2025 00:00:00 GMT https://repositorio.ufpb.br/jspui/handle/123456789/35834 2025-02-21T00:00:00Z