Sumários

Lecture 30

5 Maio 2022, 11:00 Rita Sousa


THEORY

- Definition of global maximum and global minimum of a two-variable function on some subset of its domain;

- Definition of boundary point and boundary of a set in R2;

- Definition of a bounded set in R2;

- Existence of global maxima and minima for continuous functions defined on closed and bounded subsets of R2: the Extreme Value Theorem;

- Finding global maxima and minima under the conditions of the extreme value theorem: the Closed Interval Method;

PRACTICE

The following exercises from CUP - Week 10 were discussed:

- Ex. 2 and 5

BIBLIOGRAPHY

Section 14.7 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.

Aula 29

5 Maio 2022, 09:30 Rita Sousa


Resolução de exercícios da semana 10 de PUC.

Semana 10 - Aula 3

5 Maio 2022, 08:00 Rita Sousa


Optimização em Rn - condições de segunda ordem

Lesson n. 30

5 Maio 2022, 08:00 Rita Sousa


Solving maxima and minima problems.

Quadratic approximation: quadratic forms and critical points.

Resolution of exercises: ex. 5, 6 and 7, CUP-Week 10

Lecture 29

4 Maio 2022, 09:30 Rita Sousa


THEORY

- Brief overview of the concepts and results introduced during the last lecture;

PRACTICE

The following exercises from CUP - Week 10 were discussed:

- Ex. 1, 3 and 6

BIBLIOGRAPHY

Section 14.7 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.