Browsing by CNPq Subject "CIENCIAS EXATAS E DA TERRA::MATEMATICA::ALGEBRA"
Now showing items 1-20 of 27
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Uma breve introdução à Teoria das PI-álgebras
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 05/04/2023)The goal of this undergraduate thesis is to study some introdutory concepts and results of the PI-algebras theory. In particular, as main results, we describe the polinomial identities of the Grassmann algebra and 2 x 2 ... -
Uma proposta metodológica para o ensino das funções trigonométricas
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, Câmpus São Carlos, 28/08/2015)This research has focused primarily on teaching trigonometric sine and cosine functions. The proposal is to organize the teaching of these functions, in order to improve good learning situations to students, to encourage ... -
PI-equivalência em álgebras graduadas simples
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/02/2016)This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ... -
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/08/2015)The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ... -
Projeto canhão : o ensino de funções quadráticas com o auxílio do software GeoGebra
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 22/05/2015)This work presents the development and implementation of a didactic sequence in order to motivate and teach school students quadratic functions. To do this, we built a cannon made of tiner cans and prepared a serie of ... -
Criptografia RSA: aspectos históricos e matemáticos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)This work studies aspects of RSA public key cryptography and its relationship with number theory, in particular with the properties of prime numbers. The methodology is based on bibliographical research. The study is based ... -
Os reflexos do desenvolvimento da álgebra para o ensino de equações no ensino básico
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)This research aims to offer contributions to Mathematics Education focused on teaching and learning algebraic equations, in an attempt to present the trajectory of algebra through the contributions of some peoples throughout ... -
Um estudo de valorizações transcendentes e algébricas via polinômios-chaves e pares minimais
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/02/2022)The main goal of this work is to study transcendental valuations and algebraic valuations. To achieve this, we use some of the main objects in Valuation Theory, such as key polynomials, truncations and minimal pairs. These ... -
Uma introdução aos inteiros gaussianos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)This monograph presents the principles of number theory, formally establishing important arithmetic facts that characterize the systems in question. It sought to develop theory in an axiomatic way, from the principles of ... -
O problema pseudoviscoso e a equação de BBM-Burgers estocásticos
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/09/2016)This work is divided in two parts: In the first part, we study the convergence of a sequence of approximating solutions to a solution of the stochastic conservation law, in the additive and multiplicative case. In the ... -
Soluções de equações do 1º grau com duas variáveis, num contexto geométrico, com o auxílio do software Geogebra
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, Câmpus São Carlos, 14/12/2023)This work aims to carry out the study of the 1st degree equations with two variables, by using not only the algebraic context but also the understanding of the same in the geometric context, being this proposal developed ... -
Versões digitais para jogos matemáticos: invariantes em paridade, congruência modular, frações e pg
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 21/02/2020)The work consisted in the idealization and implementation in the programming language of Scratch of online digital versions for games with didactic intent in mathematics, as well as the availability of these games on the ... -
Números complexos e transformações geométricas
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 29/06/2018)The objective of this work was the development of a didactic sequence for the presentation of the set of complex numbers for the students of the third year of High School. The activities carried out prioritized the geometric ... -
Identidades Polinomiais ℤ2-Graduadas para as Álgebras M1,1(E) e UT2(F) via representações de grupos
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 01/09/2017)In this essay we will briefly study the concept of Algebra. We will introduce a little of Group Representation Theory, looking specifically at Young's Theory, which allows us to present explicitly the decomposition of the ... -
Álgebras de Hopf, objetos galois e identidades polinomiais
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/02/2018)Our main goal is to study Hopf algebras and Galois objects, from the point of view of the polynomial identities, more precisely how these objects are distinguished by their polynomial H-identities. To this end we follow ... -
Um passo de cada vez: conhecendo as unidades de medida através da sua história
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 28/02/2019)This work aims to incite the researcher inside students, encouraging them to utilize the History of Mathematics as a tool in order to improve the learning process. The theme considered in this research was presented in ... -
Sobre a metrizabilidade do espaço de R-lugares de um corpo de funções F com trdeg_R=1
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/02/2020)The main purpose of this work is to study the metrizability of the space of R-places of a function field, with transcendence degree 1 over a real closed field. Specifically, we are going to present a necessary and sufficient ... -
Symmetric and non-symmetric Jack Functions
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/05/2020)The goal of this dissertation is to present the theory of Jack functions from the standpoint of algebraic combinatorics. The presentation of symmetric functions is largely centred on the first chapter of MacDonald's ... -
O modelo de barras como recurso na resolução de problemas algébricos
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, Câmpus São Carlos, 22/10/2019)According to Saeb data (assessment used by the federal government to measure student learning at the end of each stage), most Brazilian students do not achieve results considered sufficient when referring to mathematics ... -
Diagonalização de operadores e formas lineares: cônicas e quádricas
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 18/02/2021)In this work we will make applications of Linear Algebra to conics and quadrics. We will discuss the rotation and translation of these particular curves and surfaces and understand why the rotation process relates to with ...