Sumários

Lecture 10

17 Outubro 2022, 10:00 • Telmo Peixe

Lebesgue integral (Chp. 4): properties and examples.

Lecture 09

12 Outubro 2022, 08:30 • Telmo Peixe

  1. Lebesgue integral (Chp. 4): definition of the integral for non-negative simple functions, for non-negative measurable functions, and for measurable functions.
  2. Resolution of exercises: 1 and 2 (list 3).

Lecture 08

10 Outubro 2022, 10:00 • Telmo Peixe

  1. Measurable functions (Chp. 3): extended real valued functions, convergence of sequences of measurable functions, induced measure, generation of sigma-algebras by functions.
  2. Lebesgue integral (Chp. 4): introduction.
  3. Resolution of exercises: 8 and 11 (list 2).

Lecture 07

3 Outubro 2022, 10:00 • Telmo Peixe

  1. Resolution of exercises: 2 (a), and 3 (list 2).
  2. Measurable functions: simple functions.

Lecture 06

28 Setembro 2022, 08:30 • Telmo Peixe

  1. Resolution of exercises: 19 and 20 (list 1), and 1 (list 2).
  2. Measurable functions: definition and properties.