# School of Mathematics

## Solutions to tutorial sheets

Solutions to tutorial sheets should appear here soon after the tutorial.

Links should open PDF format files.

Tutorial Sheet 1 [February 5]
Inverse and forward images. Example of an algebra.
Tutorial Sheet 2 [February 9]
Examples with the fact that $\mathscr L$ is a $\sigma$-algebra. Countable sets and the Cantor set included.
Basic examples of measurable functions. Compositions of continuos functions applied to measurable functions are measurable. Case of measurable functions defined on $[0,1]$/
Computing $\int_{\mathbb R} f \, d\mu$ via the Riemann integral (over finite closed intervals) and limits.