Aula 31

10 Maio 2022, 13:00 • Rita Sousa

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Aproximação quadrática em torno de pontos críticos e relação com formas quadráticas.

Extremos condicionados: multiplicadores de Lagrange.

Aula 31

10 Maio 2022, 13:00 • Rita Sousa

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TEORIA

- Breve revisão dos conceitos introduzidos na aula anterior.

PRÁTICA

Resolução dos seguintes exercícios da PUC - Semana 11:

- Ex. 1, 5

BIBLIOGRAFIA

Secção 14.8 do livro J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.

Lesson n. 31

10 Maio 2022, 11:00 • Rita Sousa

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Lagrange multipliers method.

Resolution of exercise: ex.1, CUP-Week11

Lecture 31

10 Maio 2022, 09:30 • Rita Sousa

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THEORY

- Definition of local/global maximum and local/global minimum of a two-variable function subjected to a constraint;

- Definition of local/global maximum value and local/global minimum value of a two-variable function subjected to a constraint;

- Characterization of constrained local maxima/minima using the gradient vector: definition of Lagrange multiplier;

- Computing the global maxima and minima (and the respective global maximum and minimum) of a given function subjected to a given constraint: introduction to the method of Lagrange multipliers;

PRACTICE

The following exercises from CUP - Week 11 were discussed:

- Ex. 1

BIBLIOGRAPHY

Section 14.8 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.

Aula 31

10 Maio 2022, 08:00 • Rita Sousa

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Extremos condicionados: Multiplicadores de Lagrange. Sistema de Lagrange.