Sumários

Lecture 30

26 Novembro 2025, 11:30 Alexandra Symeonides

Antiderivatives by substitution, examples and ex 14.7.1 d)

Antiderivatives of rational functions, examples and ex. 14. 8.1 d) e)


Lecture 31

26 Novembro 2025, 10:00 Alexandra Symeonides

Discussion of some exercises with the students. Ex. 14.3.1 p)q)r). Ex. 14.5.1 i)d)k)j)n). 

Other discussed exercises 14.7.1 b), 14.7.2 b)
Brief introduction to the defined integral.


Lecture 29

24 Novembro 2025, 11:30 Alexandra Symeonides

Antiderivatives. Initial value problem. Immediate antiderivatives. Integration by parts. Examples and exercises 14.3.1 g)h)i)j)k) and ex. 14.5.1 a)


Lecture 27

19 Novembro 2025, 11:30 Alexandra Symeonides

Continuation of Taylor formula and its application to the characterization of critical points (local minimum, local maximum and saddle points)


Lecture 28

19 Novembro 2025, 10:00 Alexandra Symeonides

Resolution of the following exercises about Taylor polynomial/formula 12.4.1 a) to c) for function sqrt(x), ex. 12.4.2 a)b), ex. 12.4.4 d), 12.4.9 e). Discussion on ex. 12.4.6 a)

Resolution of the following exercises about Cauchy Rule 11.3.1 b), 11.3.2 b)f)j)n), 11.3.3 d)