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

Additional Material

Review of Probability theory (without measure theory)

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

Supplementary material on Outer Measures (sometimes set for MAS451/6352, but not in 2018-19)

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 Assignment 2
Solutions to Week 5 Problems
Solutions to Week 6 Problems
Solutions to Assignment 3
Solutions to Week 8 Problems
Solutions to Week 9 Problems
Solutions to Week 10 Problems

Solutions to additional problems for MAS451/6352

Past Exams

level 3 2016-17 exam paper.
level 3 2017-18 exam paper.

level 4/MSc 2016-17 exam paper.
level 4/MSc 2017-18 exam paper.

Past exam solutions

level 3 2016-17 exam solutions.
level 3 2017-18 exam solutions.

level 4/MSc 2016-17 exam solutions.
level 4/MSc 2017-18 exam solutions.

Any queries email the lecturer:

Last updated 7th Mayl 2019