• Os teoremas de existência e unicidade de solução de um PVI e do fluxo tubular 

      Virgens, Victor Lima das (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 ...
    • 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 ...
    • Uma proposta didática para o ensino de áreas e volumes 

      Dojas Neto, Fozat (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 ...
    • 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, ...
    • 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 ...
    • 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. ...
    • 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 ...
    • 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 ...
    • 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. ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • A representação decimal fracionária de números reais: aspectos teóricos e históricos 

      Abreu, Lia Oliveira de (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 21/06/2021)
      In this work we carry out a study on the history and concepts of development of the decimal representation of real numbers, which probably started with works by Simon Stevin in La Theinde (The tenth) in 1585 (STEVIN, 1997), ...
    • 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 ...
    • Utilização do modelo pictórico da Matemática de Singapura em resoluções de problemas para os 5o e 6o anos do ensino fundamental, dentro da proposta curricular do estado de São Paulo 

      Sprovieri, Luis Henrique (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)
      Teaching mathematics is a challenge for both educators and students. It is usual to notice the lack of interest of students in Mathematics, especially when it is associated with letters and symbols, missing its real meaning. ...
    • Teorema de Green e suas aplicações 

      Gonçalves, Stephanie Raira (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/06/2021)
      This monograph addresses as its main theme Green’s Theorem, a sophisticated result that shows an equality relation between a double integral of a region and a line integral around it. With a more didactic explanation, we ...
    • 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 ...