Banca de QUALIFICAÇÃO: DEIVES DA SILVA CIDRIM

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : DEIVES DA SILVA CIDRIM
DATE: 23/11/2021
TIME: 10:00
LOCAL: webconferência
TITLE:

A Brief Study of Parameterized Flat Curves and Applications

KEY WORDS:

History of Mathematics; Parameterized Curves; Sketch of Curves; Physics

PAGES: 87
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This work aims to present a brief study and a methodological explanation about
parameterized curves and their applications and examples in everyday life. We will
discuss the historical context that led to its improvement, through some notable
mathematicians such as Descartes and Fermat. Usually, in the study of Cartesian
curves, we adopt only one dependent variable and one independent variable (Y = f(x)),
but we are faced with situations where there are curves that are often difficult or even
impossible to be expressed explicitly by a function of a single variable. In this case, we
need another variable, called “parameter”, which helps us to better explain the curves,
that is, the parameterized curves. With that, in this work we present the
characterization of the parametric curves and some techniques to draw such curves.
We've also dealt with some notable curves such as the Cycloid and the Epicycloid. We
also deal with some applications of parameterized curves in everyday life.

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