Sumários
Aula 31
10 Maio 2022, 13:00 • Rita Sousa
Aproximação quadrática em torno de pontos críticos e relação com formas quadráticas.
Extremos condicionados: multiplicadores de Lagrange.
Lesson n. 31
10 Maio 2022, 11:00 • Rita Sousa
Lagrange multipliers method.
Resolution of exercise: ex.1, CUP-Week11
Lecture 31
10 Maio 2022, 09:30 • Rita Sousa
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.
Semana 11 - Aula 1
10 Maio 2022, 08:00 • Rita Sousa
Optimização - Método dos Multiplicadores de Lagrange