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Master's Dissertation
DOI
10.11606/D.55.2017.tde-08052017-111625
Document
Author
Full name
Priscila Cordero Leal
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2017
Supervisor
Committee
Azevedo, Katia Andreia Gonçalves de (President)
Artioli, Vanessa Rolnik
Capelato, Érika
Gadotti, Marta Cilene
Title in Portuguese
Um estudo sobre otimização de funções reais de várias variáveis: teoria e aplicações
Keywords in Portuguese
Cálculo de várias variáveis
Máximos e mínimos
Otimização
Abstract in Portuguese
Otimizar significa determinar estratégias para se obter as melhores alternativas em busca dos objetivos traçados. Em matemática, otimização refere-se ao estudo de problemas em que se deseja maximizar ou minimizar uma determinada função através da escolha sistemática dos valores de variáveis dentro de um conjunto viável. Um dos métodos de se determinar os máximos e mínimos de funções é utilizando-se o cálculo em várias variáveis, o qual será abordado nesse trabalho. Possíveis situações relacionadas ao cotidiano são apresentadas para que o processo de otimização possa ser abordado por alunos do Ensino Médio.
Title in English
A study on optimization of real functions of several variables: theory and applications
Keywords in English
Calculation in several variables
Maximums and minimums
Optimization
Abstract in English
Optimizing means determing strategies to obtain better alternatives in the search of the stated aims. In Mathematics, optimization refers to the study of problems in which we want to maximize or to minimize a certain function through a systematic choice of variable values in a viable set. One of the methods used to determine the maximums and the minimums of functions is using calculus in several variables, what will be discussed in this work. Possible situations related to daily life are presented so that the optimization process can be studied by high school students.
 
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Publishing Date
2017-05-08
 
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