Sumários
Aula 21
31 Março 2022, 08:00 • Rita Sousa
Derivadas parciais de primeira ordem e de ordem superior. Teorema de Clairaut.
Lesson n. 21
31 Março 2022, 08:00 • Rita Sousa
Partial Derivatives: Clairaut's Theorem and study of partial derivatives sign.
Resolution of exercises: ex. 8 and 9, CUP - Week 7.
Aula 20
30 Março 2022, 09:30 • Rita Sousa
Generalização dos conceitos de limite e continuidade para funções em R^n. Superfícies de nível. Derivadas parciais.
Lecture 20
30 Março 2022, 09:30 • Rita Sousa
THEORY
- Definition of continuity of a two-variable function;
- Composition of two-variable continuous functions with one-variable continuous functions: constructing new two-variable continuous functions.
PRACTICE
The following exercises from CUP - Week 7 were discussed:
- Ex. 1, 2 e 4
BIBLIOGRAPHY
Section 14.2 of J. Stewart, "Calculus - Early Transcendentals", 8th Edition, 2017, Cengage Learning.
Lesson n. 20
30 Março 2022, 08:00 • Rita Sousa
Partial derivatives: definition, geometric interpretation and notation.
Resolution of excercises: ex.5, 6, 10 and 7, CUP - Week 7