Sumários

Lecture 9

24 Setembro 2025, 11:30 Alexandra Symeonides

2.4.2 Infinite Parts of R
Exercise 2.4.2


Lecture 8

24 Setembro 2025, 10:00 Alexandra Symeonides

Exercises 2.3.4 c), 2.3.5 d), 2.3.9.
2.4.1 Finite Parts of R
2.4.2 Definition of Numerable set


Lecture 7

22 Setembro 2025, 11:30 Alexandra Symeonides

2. The Real line
Supremum, infimum, maximum and minimum. Axiom of the supremum. Characterization of the supremum. 
Exercise 2.3.4 a)b)


Lecture 6

17 Setembro 2025, 11:30 Alexandra Symeonides

Properties of operations between sets. Third De Morgan Laws. Difference between two sets.
Resolution of the exercises 1.7.1.b), 1.7.3, 1.7.4. 
Discussion with the students of exercises 1.6.3 b)c)d), 1.7.1c), 1.7.2


Lecture 5

17 Setembro 2025, 10:00 Alexandra Symeonides

1.7 Logical operations and sets
Relations, properties, operations.
Complement of a set, Empty set and Universe set.
Duality between propositions and sets.
Discussion with the students of exercises 1.6.1 a)b), 1.6.3 a)