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Matemática financeira no cotidiano dos brasileiros
(Universidade Federal de São Carlos, 2021-01-08)
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 ...
Problema de dois corpos na mecânica celeste
(Universidade Federal de São Carlos, 2021-01-07)
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, ...
Teorema de Green e suas aplicações
(Universidade Federal de São Carlos, 2021-06-25)
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 ...
O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya
(Universidade Federal de São Carlos, 2021-11-26)
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. ...
Uma introdução aos inteiros gaussianos
(Universidade Federal de São Carlos, 2021-11-25)
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 ...
A representação decimal fracionária de números reais: aspectos teóricos e históricos
(Universidade Federal de São Carlos, 2021-06-21)
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), ...
Um estudo investigativo sobre as dificuldades dos professores de Matemática iniciantes do ensino remoto
(Universidade Federal de São Carlos, 2021-11-26)
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
(Universidade Federal de São Carlos, 2021-11-24)
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 ...
Criptografia RSA: aspectos históricos e matemáticos
(Universidade Federal de São Carlos, 2021-06-24)
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
(Universidade Federal de São Carlos, 2021-12-23)
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 ...