Sumários

Practical session 2

24 Fevereiro 2022, 14:30 • Alexandra Symeonides

Topology: ex. 9, resolution of the topology exercises from past normal and resit period.

Geometric series: ex. 1 (b), resolution of the geometric series from past resit period. ex. 2 (d)(f)

Lecture 4

22 Fevereiro 2022, 10:00 • Alexandra Symeonides

Exercices 13 (b) (d) (e) (Geometric series)


Functions of a real variable. Generalities about functions of real variable, examples.

Lecture 3

21 Fevereiro 2022, 10:00 • Alexandra Symeonides

Exercise 8 for the set A_2 (Elementary topology)


Geometric progressions: common ratio and general term; monotony and limit. Sum of consecutive terms of a geometric progression. Geometric series.


Exercise 12 (a) (Geometric progressions)

Practical session 1

17 Fevereiro 2022, 14:30 • Alexandra Symeonides

Elementary Topology
Exercises
1. b)c)e)  

2. all
6. d)
7. only for line d) of ex. 6
 

Lecture2

15 Fevereiro 2022, 10:00 • Alexandra Symeonides

Relation of order over R, supremum and infimum. Axiom of the supremum. Elementary topology over the real line: neighborhoods, interior and boundary of a set. Adherence of a set. Open and closed sets. Limit points and derived set. Compact sets.