Sumários

Lecture 16

12 Outubro 2026, 19:00 • Antonia Micol Frassino

Definition of a random variable, its expectation value for finite sets, and its general definition. Also, definition of the distribution function.

Lecture 15

12 Outubro 2026, 17:30 • Antonia Micol Frassino

Definition of measurable functions. Definition of simple functions. Lebesgue integral. Comparison between Lebesgue and Riemann integrals. Convergence theorems (MCT and DCT). Differentiation theorems.

Lecture 14

9 Outubro 2026, 19:00 • Antonia Micol Frassino

Borel sets and standard measures: Counting measure, Dirac measure, and Lebesgue measure. Countable sets.

Lecture 13

9 Outubro 2026, 17:30 • Antonia Micol Frassino

Foundations of Measure Theory,  introduction, measure space, sigma-algebras (definitions and properties).

Lecture 12

29 Setembro 2026, 19:00 • Jorge Miguel Cruz Pereira Varelas da Rocha

Systems of linear and non-linear equations: the Gauss-Seidel method to solve linear systems; convergence properties of general matrix iteration methods; systems of non-linear equations; the gradient matrix; Newton's method and its convergence properties.