TCC Matemática

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Navegando TCC Matemática por Assunto "Applications"

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    Geometria analítica: panorama histórico e algumas aplicações
    (Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-11-07) Tenório, Marcos José da Silva; Silva, Rosivaldo Pereira da; http://lattes.cnpq.br/8652133702306422; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Lopes, Rafael do Sacramento; http://lattes.cnpq.br/2775224211896509
    Analytical geometry is the area of mathematics that studies geometric structures from an algebraic perspective in which its studies are used in contexts involving coordinates. Some historians of mathematics credit René Descartes with the discovery of analytical geometry. Starting from this brief context, this work aimed to historically address the emergence and evolution of Analytical Geometry and its implications for the construction and development of mathematical knowledge. As a methodology, there is a bibliographical review carried out through books and studies available in databases, which initially reveals the importance of analytical geometry as a curricular component of undergraduate courses in the exact sciences, such as Engineering, Computer Science, and of Mathematics, in addition to its relevance as a necessary tool for Differential and Integral Calculus and being one of the main references in a first linear algebra course. As Analytical Geometry originated in the midst of problems faced by humanity, such as the discovery of irrational numbers, incommensurable numbers, Zeno's paradoxes, the method of exhaustion, the idea of continuity, philosophical questions and religious beliefs, it is considered to be It is important that the teaching of analytical geometry permeates historical events, proposing the proposal to build knowledge and not just solve algorithms.
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    Quatérnions de rotação e como usa-lós
    (Instituto Federal de Educação Ciência e Tecnologia de Alagoas, 2023-04-24) Silva, Roberto Nilton Bento da; Nascimento, Arlyson Alves do; http://lattes.cnpq.br/9395417554768580; Nunes, Hugo Santos; http://lattes.cnpq.br/4304337631466259; Silva, Elaine Cristine de Souza; http://lattes.cnpq.br/1664133162526091
    Rotation quaternions are a mathematical tool used to represent 3D rotations and can be compared to complex numbers, but with an extra dimension. They possess useful properties such as the ability to describe rotations around any axis and the ability to combine rotations using multiplication. Therefore, they are widely used in applications such as computer games, animation, and robotics. In this work, we will provide an introduction to rotation quaternions, how they are similar to complex numbers, and how they can be used in rotation calculations.