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.
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