Sumários
Aula 35
16 Maio 2024, 13:00 • Annabela Pelicano
Miniteste.
Programação linear.
Aula 35
16 Maio 2024, 13:00 • Jorge Miguel da Rocha
Mini-teste 3; revisão de matéria e esclarecimento de dúvidas.
Otimização matemática
16 Maio 2024, 13:00 • João Pedro Figueira
[35] (TP)
TP 35
16 Maio 2024, 11:00 • Cristiana João Soares da Silva
Realização do terceiro mini-teste.
Multiplicadores de Lagrange. Resolução do exercício 5 da PUC (semana 11).
Lecture 34
16 Maio 2024, 11:00 • Pedro Alexandre Correia de Matos
- Basic concepts and results:
- Interior point, boundary point, interior and boundary of a subset of R^3. Closed subsets of R^3;
- Bounded subsets of R^3;
- Extension of the EVT to continuous 3-variable functions defined over closed and bounded subsets of R^3;
- Extreme values of 3-variable functions subject to either one or two constraints:
- Differentiable 3-variable functions defined over the level surface of another 3-variable differentiable function (one constraint). Characterization of the points where extreme values occur: colinearity of the gradient vectors and Lagrange multipliers;
- Differentiable 3-variable functions defined over the intersection of two level surfaces of other two 3-variable differentiable functions (two constraints). Characterization of the points where extreme values occur: linear combination of gradient vectors and Lagrange multipliers;
- The method of Lagrange multipliers for differentiable 3-variable functions subject to either one or two constraints;