2025-06-172025-06-172025-04-02GONÇALVES, Afonso Barata. O Problema de Dirichlet para Equação de Laplace em um retângulo. Orientador: Arthur da Costa Almeida. 2025. 62 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Matemática, Campus Universitário de Castanhal, Universidade Federal do Pará, Castanhal, 2025. Disponível em: https://bdm.ufpa.br/handle/prefix/8324. Acesso em:.https://bdm.ufpa.br/handle/prefix/8324This work addresses the Dirichlet Problem in the rectangle, one of the fundamental problems in the theory of Partial Differential Equations (PDEs). The main objective is to study the Laplace equation in a rectangular domain and analyze the behavior of solutions under well defined boundary conditions. To achieve this, we employ the method of separation of variables and Fourier series theory, which play a crucial role in the analytical solution of the problem. In addition to the theoretical foundation, we highlight the applications of the Dirichlet Problem in fields such as physics, engineering, and applied mathematics, emphasizing its relevance in both academic contexts and real-world problems.Acesso AbertoProblema de DirichletEquação de LaplaceSéries de FourierDirichlet ProblemLaplace EquationFourier SeriesCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATrabalho de Curso - Graduação - MonografiaAttribution 3.0 Brazil