University of Sheffield, MAS350 Measure and Probability


About the course

Booklist

The following files are all in PDF format:

Lecture Notes

Preliminaries
Chapter 1: Measure Spaces and Measure
Chapter 2: Measurable Functions
Chapter 3: Lebesgue Integration
Chapter 4: Probability and Measure

Additional material on Outer Measures for MAS451/6352
Additional material on Product Measures and Fubini's Theorem for MAS451/6352

Supplementary material on how Riemann integration fits into the Lebesgue theory.

Exercise sheet

Exercise Sheet

Additional problems on Outer Measures for MAS451/6352
Additional problems on Product Measures and Fubini's Theorem for MAS451/6352

Solutions

These will be posted here.

Past Exams

level 3 2015-16 exam paper.
level 3 2016-17 exam paper.

level 4/MSc 2015-16 exam paper.
level 4/MSc 2016-17 exam paper.

Past exam solutions

level 3 2015-16 exam solutions.
level 3 2016-17 exam solutions.

level 4/MSc 2015-16 exam solutions.
level 4/MSc 2016-17 exam solutions.


Any queries email the lecturer:
d.applebaum@sheffield.ac.uk

Last updated September 11th 2017