University of Sheffield, MAS350 Measure and Probability

About the course


The following files are all in PDF format:

Lecture Notes

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

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

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

Supplementary material on Outer Measures (sometimes set for MAS451/6352, but not in 2017-18)

Exercise sheet

Exercise Sheet

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


Solutions to Week 1 Problems
Solutions to Assignment 1
Solutions to Week 3 Problems
Solutions to Week 4 Problems
Solutions to Assignment 2
Solutions to Week 7 Problems
Solutions to Week 8 Problems
Solutions to Assignment 3
Solutions to Week 10 Problems
Solutions to Week 11 Problems

Solutions to first set of extra problems for MAS451/6352
Solutions to second set of extra problems for MAS451/6352

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:

Last updated 18th May 2018