Sumários

Lecture 23

29 Outubro 2025, 10:00 Alexandra Symeonides

Derivatives and monotonicity. Fermat theorem, Rolle theorem, Lagrange theorem. 


Lecture 22

27 Outubro 2025, 11:30 Alexandra Symeonides

Discussion with the students of the exercises
8.4.5 a) 9.5.6 c)d) 9.5.7 c), 9.5.8


Lecture 21

22 Outubro 2025, 11:30 Alexandra Symeonides

Differentiability, tangent line to the graph of a differentiable function, derivative function. Differentiability vs continuity in a point. Derivative of the inverse function, examples with the inverse trigonometric functions. Exercises discussed with the students 6.8.4 , 6.8.8, 8.4.4.


Lecture 20

22 Outubro 2025, 10:00 Alexandra Symeonides

Exercises about continuity 7.4.2, 7.4.4, 7.4.6


Lecture 19

20 Outubro 2025, 11:30 Alexandra Symeonides

7. Continuity

Weierstrass theorem, Sign preservation theorem and Intermediate Values theorem