University of Sheffield, MAS275 Probability Modelling

Welcome to the web pages for MAS275 Probability Modelling. Course notes, exercises and solutions will appear here, in PDF format.

Information about the course

The lectures for this course are on Tuesdays at 12 in Hicks Lecture Theatre 7 and Fridays at 11 in Hicks Lecture Theatre 1.

Tutorials will be held every other week, starting in the second week of the course. They will be Tuesdays at 16:00; Wednesdays at 12:00; or Thursdays at 12:00 depending which group you are in; you can find out which group you are in and the name of your group's tutors at the SoMaS tutorial groups page. This will also tell you where the classes are.

Homework will be set to be handed in for weeks 3, 5, 7, 9 and 11: the folders will be left outside my office (I22 Hicks) from 11am on Tuesday and you should hand the work in by 2pm on Wednesday. The marking will be for feedback rather than for formal assessment.

To contact the lecturer, email My office is I22, on the fifth floor of the Hicks Building. My office hour for the course is 12:00 - 13:00 on Fridays.

A discussion board for this module will be available on MOLE2.


Assessment for the course will be by a 2 hour closed book exam.

Lecture notes

The notes are divided into six sections. Notes for each section are available from the links below:

There is also some extra material which may be useful.

Slides for Markov Monopoly (Example 21)

Link to Page and Brin paper describing Google PageRank


Exercise booklet for the course. This covers the whole course.

Lecture Examples (to appear after each chapter is completed)

Solutions to exercises (now fully available)

Sample code for programming exercises (will appear here)

Past exam solutions

These are now on MOLE under MAS275. I have uploaded solutions to 2015-6 and 2016-7 (i.e. I have not uploaded the solutions to last years 2017-18 exam since it was affected by the strikes and so different in format). The exams themselves can be found on the SoMaS past papers page.

Last updated 2 May 2019.