• Algoritmos numéricos aplicados a aproximação da taxa interna de retorno 

      Souza, Stefhany Troi de (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 ...
    • Uma análise de elementos matemáticos presentes na gravura Melancolia I de Albrecht Dürer: poliedro, esfera e quadrado mágico 

      Paulo, Luís Guilherme Oliveira (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 23/12/2021)
      This monograph addresses as its main theme Albrecht Dürer's Melancholia I, an engraving that is full of philosophical and mathematical meanings. With a didactic and mathematical approach, we aim to contextualize the ...
    • Análise de itens de matemática do ENEM Digital via taxonomia de Bloom 

      Tamborlin, Julia Ribeiro (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 ...
    • Aplicações das séries de Fourier 

      Fracaroli Borin, Luiz Guilherme (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 ...
    • Aspectos históricos e matemáticos da resolução de equações de 3o., 4o. e 5o. graus 

      Calcia, Igor Perussi (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, ...
    • A construção dos números reais desenvolvida por Richard Dedekind 

      Zanni, Rafaela Aparecida Camarinho (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. ...
    • Criptografia RSA: aspectos históricos e matemáticos 

      Camargo, Raphael Vinícius Gonçalves (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 ...
    • O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya 

      Garcia, Rafaela Fernandes (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)
      he aim of this work is to analyze the teaching materials of Dante e Viana (2008) and Iezzi e Hazzan (2019), indicated for Basic Education by the National Textbook Program (PNLD), with the help of the filing methodology. ...
    • Estudo das envolventes de curvas com aplicações no Geogebra 

      Lemos, Guilherme Mendes (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 ...
    • Estudo de ferramentas estatísticas para a análise de itens em relatórios pedagógicos 

      Baptista, Isabela Maria Melle (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 ...
    • Um estudo investigativo sobre as dificuldades dos professores de Matemática iniciantes do ensino remoto 

      Simonato, Letícia (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)
      Many researchs bring reports of difficulties that beginning teachers faces in the classroom with face-to-face teaching, such as lonelyness, lack of preparation to deal with students, with educational management, among ...
    • O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula 

      Manzini, Tatiana Agenor (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 ...
    • Uma introdução aos inteiros gaussianos 

      Ferreira, Raphael Elias Toledo (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 ...
    • Matemática financeira no cotidiano dos brasileiros 

      Silva, Conrado Valdovando da (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/01/2021)
      This monograph is a study of topics on Financial Education – its history, the nowadays brazilian panorama on this subject, the National Strategy on Financial Education (ENEF) and the DICTs (Digital Information and Communication ...
    • Matemática financeira: o Modelo de Markowitz 

      Cavalini, Claudia Cristina (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, ...
    • Métodos numéricos aplicados a dinâmica orbital 

      Antunes, Lucas Vinicius (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 ...
    • Modelagem matemática e a BNCC do Ensino Médio 

      Dameto, Christian Roberto (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)
      This Course Conclusion Work aims to build relationships between the work with mathematical modeling according to the concepts of Bassanezi (2002) and Burak (1992), and the learning objectives proposed by the High School's ...
    • Números irracionais e suas particularidades 

      Garcia, Hévila Maria Gabriel (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 ...
    • A OBMEP e a perspectiva da resolução de problemas 

      Didone, Larissa Maria Aquino (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. ...
    • Problema de dois corpos na mecânica celeste 

      Antunes, Lucas Vinicius (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/01/2021)
      The objective of this work is to study celestial mechanics by retracing the mathematical foundations of Kepler's three laws, in connection with Newton's law of gravity, as to describe the planetary orbits as conic sections, ...