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Matemática financeira no cotidiano dos brasileiros
(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
(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
(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
(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
(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
(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
(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, ... -
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 ... -
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 ... -
A representação decimal fracionária de números reais: aspectos teóricos e históricos
(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), ... -
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 ... -
Teorema de Green e suas aplicações
(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 ... -
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 ... -
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
(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. ...