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Existência e regularidade de soluções fundamentais para operadores diferenciais lineares de coeficientes constantes
(Universidade Federal de Santa Maria, 2020-03-19)
The main objective of this dissertation is to present a theorem that guarantees the existence
and regularity of fundamental solutions for linear differential operators with constant
coefficients. We also present some of ...
Existência de solução para um problema elíptico envolvendo o expoente crítico de Sobolev
(Universidade Federal de Santa Maria, 2020-03-27)
This work presents a study on the existence or not of a solution for the following elliptical
problem with Sobolev’s critical exponent
8>
><>>:
����� u = u2 �����1 + f(x; u) in
u > 0 in
u = 0 on @
;
where
...
Bordo assintótico de superfícies mínimas em H2 × R
(Universidade Federal de Santa Maria, 2020-02-27)
In this work, we present some examples of minimal surfaces in H2 × R, and also a description
of the product and geodesic boundary of these surfaces. Our main goal is to
prove Theorem 5.1 of the Kloeckner and Mazzeo’s ...
Explorando os conceitos de elemento neutro e oposto por meio da resolução de equações no conjunto dos números racionais
(Universidade Federal de Santa Maria, 2020-07-03)
In this work we presented an activity proposal that contemplates an adaptation of the definition
of ring for Elementary School, with the objective of understanding the concepts and
operational properties studied at this ...
Transformações geométricas e matrizes: uma proposta de ensino com base na sala de aula invertida
(Universidade Federal de Santa Maria, 2020-09-25)
The objective of this work is to present a teaching proposal through a didactic
sequence on the study of geometric transformations and their representation through
matrices. For this, we adopted the active methodology ...
O pensamento computacional na prática: uma experiência usando Python em aulas de Matemática Básica
(Universidade Federal de Santa Maria, 2021-04-30)
Teaching in Brazilian schools has achieved results below the desired level for years. In
the most recent PISA exam (International Student Assessment Program), held in 2018, it
was found that most Brazilian students do ...
Retratos de fase de uma família de sistemas quadráticos planares integráveis com duas parábolas invariantes
(Universidade Federal de Santa Maria, 2021-05-07)
In this work we prove the Grobman-Hartman Theorem and the Local Stable Manifold
Theorem, classical results in the study of the local behavior of the solutions of nonlinear
differential equations. Then we provide the ...
Condição de existência de um triângulo: uma abordagem via fluxogramas
(Universidade Federal de Santa Maria, 2020-02-27)
In this work we present a didactic sequence that deals with the theme: condition of the existence of a triangle, focusing on flowcharts. To this end, a research on the topic was carried out in the Catalog of Theses and ...
Modelos matemáticos para evolução de resistência de insetos-praga a transgênicos
(Universidade Federal de Santa Maria, 2021-04-30)
Genetically Modified Organisms (GMOs) are organisms that have undergone artificial
changes in their genetic material. We can cite as an example of GMOs, genetically modified
crops or, simply, transgenic crops. The main ...
Cografos integrais
(Universidade Federal de Santa Maria, 2021-09-16)
The search for integral cographs is a topic of interest in Spectral Graph Theory. From this,
and motivated by the structural characteristics of these graphs, and by their spectral properties,
we propose, in this dissertation, ...