Welcome to the web pages for MAS275 Probability Modelling. Course notes, exercises and solutions will appear here, in PDF format.
The lectures for this course are on Tuesdays at 12 in Diamonds Lecture Theatre 2 and Fridays at 11 in Hicks Lecture Theatre 7.
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 (G39b 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 r.n.stephenson@sheffield.ac.uk. My office is I18 in 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 MOLEdiscussion.
Assessment for the course will be by a 2 hour closed book exam.
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.
The Kruskal count card trick is related to the proof of Theorem 12. In the lecture I showed Ravi Montenegro's page demonstrating the trick at the University of Massachusetts Lowell.
Slides for Markov Monopoly (Example 21)
Link to Page and Brin paper describing Google PageRank
Mini-web examples for PageRank (examples 26 and 27): 1,2,3
Exercise booklet for the course. This covers the whole course.
R code for simulating a basic Poisson process
They can be found on the SoMaS past papers page.