TCC
Submissões recentes
-
Introdução à Teoria da Medida
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 09/02/2024)This monograph consists of a study on some fundamental concepts of Measure Theory, such as σ-algebras and measure. In this way, the concepts and properties of algebras and σ-algebras will be seen, as well as the types of ... -
Construção dos números reais: embasamento teórico e experiências na escola
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)The presented research will focus on the construction of real numbers (R) through Dedekind cuts its use in education, with experiences in high school classes at a public school in São Carlos. The overall objective of the ... -
Cálculo variacional: uma breve introdução e aplicações
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/02/2024)The aim of this end-of-course work is to present a brief introduction to variational calculus and its applications. In this way, the development consists of recalling concepts of normed vector spaces, metric spaces and ... -
Uma introdução aos espaços métricos e aos espaços vetoriais normados
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)In this work, we present an introduction to Metric Spaces, starting with the definition and examples, defining and understanding the primary concepts of this context, such as open and closed balls, open and closed sets as ... -
Aspectos históricos e matemáticos da resolução de equações de 3o., 4o. e 5o. graus
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/09/2023)During the years from 1530 to 1576, there were great mathematical advances in Europe, one of the greatest being the great duel of the resolution of the cubic equations, fought between Niccolò Tartaglia and Gerolamo Cardano, ... -
Algoritmos numéricos aplicados a aproximação da taxa interna de retorno
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 05/04/2023)The aim of this study is to explore a central topic in financial mathematics: the internal rate of return. To this end, the study begins by introducing basic concepts of financial mathematics and their possible everyday ... -
Matemática financeira: o Modelo de Markowitz
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)The aim of this work is to present a mathematical introduction to the main concepts involved in Markowitz Theory. The portfolio selection developed by Markowitz shows the importance of asset portfolio diversification, ... -
Os teoremas de existência e unicidade de solução de um PVI e do fluxo tubular
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)The main objective of this course completion work is to present the foundations of the Qualitative Theory of Ordinary Differential Equations, a branch of Mathematics that is considered one of the most applied. The present ... -
Uma proposta didática para o ensino de áreas e volumes
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)This monograph discusses plane and spatial geometry in order to investigate the approach of the topics of areas and volumes in selected textbooks, as well as to study the theoretical prerequisites and the Cavalieri's ... -
Aplicações das séries de Fourier
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 31/03/2023)The focus of this project is the introduction to the study of Fourier series. The Fourier series that emerged from the studies of Jean Baptiste Joseph Fourier on the heat equation is an important tool in solving certain ... -
O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)The motivation and unfolding of this monograph is to address 4 problems from the book The Man Who Counted, analyzing and characterizing the conceptions that the author had in his time and that persist until today, for ... -
Métodos numéricos aplicados a dinâmica orbital
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/11/2021)In this dissertation we aim to study the applications of numerical methods to orbital dynamics, among which the main ones are the 4th order Runge-Kutta and debugging via manufactured solution. A brief introduction to the ... -
Números irracionais e suas particularidades
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)In this work we present the main numerical sets: natural, integers, rational, irrational and real, focusing on the set of irrational numbers. We approach its historical part, the most famous examples and the proof of their ... -
Retratos de fase de sistemas de equações diferenciais lineares com coeficientes constantes de até terceira ordem
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 28/09/2022)This study was developed with the intention of investigating the phase portraits of all linear systems with constant coefficients up to third order. For this purpose, we will determine the systems solutions, perform an ... -
Proposta de atividades para o ensino da matemática financeira
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)This work presents some activities on financial mathematics. The activities were developed with three groups of students of high school in a public school and it were based on real data, which help students to have a ... -
Análise de itens de matemática do ENEM Digital via taxonomia de Bloom
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)The Revised Bloom Taxonomy (RBT) allows classifying the actions necessary for the examinee to obtain a satisfactory performance in solving items through their cognitive aspects. In the scenario of Computerized Tests, ENEM ... -
Estudo de ferramentas estatísticas para a análise de itens em relatórios pedagógicos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2022)This degree final monograph the analysis of math items in pedagogical reports of external evaluations. In this direction, it is pointed out in the literature that math teachers have difficulties in interpreting and in ... -
Estudo das envolventes de curvas com aplicações no Geogebra
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 29/04/2022)In this work we will study several families of plane curves and their envelopes. We present the methods that make it possible to obtain the envelopes for parameterized curves and for equations involving parameters. Two ... -
A construção dos números reais desenvolvida por Richard Dedekind
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2021)In this work, we will study the emergence of incommensurability during classical antiquity and understand how this discovery was important for the development of real number theory during the arithmetic movement of analysis. ... -
A OBMEP e a perspectiva da resolução de problemas
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/04/2022)This work is a study on the use of questions from the Brazilian Mathematics Olympiad in Public Schools (OBMEP) in the Problem Solving Perspective and its transposition to the classroom with the use of manipulative material. ...