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 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 201819)
Exercise sheet
Exercise Sheet
Additional problems on Product Measures and Fubini's Theorem for MAS451/6352
Solutions
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
Past Exams
level 3 201617 exam paper.
level 3 201718 exam paper.
level 4/MSc 201617 exam paper.
level 4/MSc 201718 exam paper.
Past exam solutions
level 3 201617 exam solutions.
level 3 201718 exam solutions.
level 4/MSc 201617 exam solutions.
level 4/MSc 201718 exam solutions.
Any queries email the lecturer: d.applebaum@sheffield.ac.uk
