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Aplicações das séries de Fourier
(Universidade Federal de São Carlos, 2023-03-31)
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 ...
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 ...
Construção dos números reais: embasamento teórico e experiências na escola
(Universidade Federal de São Carlos, 2024-02-08)
The presented research will focus on the construction of real numbers (R) through Dedekind cuts its use in education, with experiences in high school classes at a public school in São Carlos. The overall objective of the ...
O ensino de cálculo de áreas na educação básica e aplicações
(Universidade Federal de São Carlos, 2023-04-03)
We address the teaching of area and volume calculations, employing axiomatic and elementary approaches. Furthermore, we study them through the Method of Slicing and the Principle of Cavalieri, as derived from Integration ...
Números irracionais e suas particularidades
(Universidade Federal de São Carlos, 2022-09-27)
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 ...