Cálculo de áreas sem o uso do Teorema Fundamental do Cálculo

Mattos, Bruno Donadelli Trajano

doi:10.11606/D.55.2018.tde-02022018-090342

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2018.tde-02022018-090342

Document

Master's Dissertation

Author

Mattos, Bruno Donadelli Trajano (Catálogo USP)

Full name

Bruno Donadelli Trajano Mattos

E-mail

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Professional Master Mathematics in the National Network

Date of Defense

2017-11-01

Published

São Carlos, 2017

Supervisor

Gonçalves, Alexandre Casassola (Catálogo USP)

Committee

Gonçalves, Alexandre Casassola (President)
Bonotto, Everaldo de Mello
Oliveira, Regilene Delazari dos Santos
Salvador, José Antonio

Title in Portuguese

Cálculo de áreas sem o uso do Teorema Fundamental do Cálculo

Keywords in Portuguese

Funções
Gráficos
Limites
Regiões delimitadas por curvas
Soma de séries

Abstract in Portuguese

Desenvolvemos uma estratégia natural e acessível aos estudantes do Ensino Médio para o cálculo de áreas planas sem as ferramentas mais avançadas do Cálculo Diferencial e Integral.

Title in English

Measuring areas without the fundamental theorem of calculus

Keywords in English

Functions
Graphs
Limits
Region defined by curves
Sum of simple series

Abstract in English

We developed a natural strategy, achievable by high school students, for the computation of area of limited regions of the cartesian plane, without making use of more advanced resources of Differential and Integral Calculus.

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BrunoDonadelliTrajanoMattos_revcisada.pdf (1.40 Mbytes)

Publishing Date

2018-02-02

Derived works

WARNING: The material described below relates to works resulting from this thesis or dissertation. The contents of these works are the author's responsibility.

MATTOS, B. D. T. Teoria e aplicação matemática no cálculo do volume da esfera. C.Q.D. Revista Eletrônica Paulista de Matemática, Bauru, v. 13, p. 90- 98, dez. 2018. DOI: 10.21167/cqdvol13201823169664bdtm9098 Disponível em: https://www.fc.unesp.br/#!/departamentos/matematica/revista-cqd/
MATTOS, B. D. T. Provando e Praticando. Rio de Janeiro: Interciência, 2018.