MTH4108 Probability I 2009/10


This page is maintained by Bill Jackson. It should contain all exercises sheets and handouts which have been given out. Suggestions on the content of this page are welcome.

Course Information

Mid-term Test

End of Term Test

Notes

Exercise Sheets

Other Stuff


Course Information

Course Information This handout contains important information about the course.

A syllabus can be found on the official school page for the course here.

The list of key learning objectives describes the most important things you should learn from the course (it is NOT a substitute for the full syllabus).


Mid-term Test

Information concerning the mid-term test, the revision class and my office hours for Reading Week can be found here

Mid-term Test

Mid-term Test Solutions

Feedback on Mid-term Test


End of Term Test

Information concerning the end of term test, can be found here

End-term Test

End-term Test Solutions


Notes

More will be put here as the course progresses. The first three links below are useful references for mathematical notation and terminology.

The phrase book (of basic words and symbols of higher mathematics)

Peter Cameron's list of mathematical notation

Some terminology you will need

Your own lecture notes are the definitive guide to what is in the course. Anything lectured which is not explicitly described as non-examinable may appear in the test or exam. The notes which will appear below as the course progresses are a summary only of what was lectured. They are a slightly modified version of notes given by Robert Johnson when he taught this module in 2008. They should be a useful guide to the most important concepts and results. However, they are do not contain all of the examples or explanation I gave in lectures. These are NOT a substitute for your own notes.

Week 1 (Sample Space and Events, Sets)

Week 2 (Functions and Sequences)

Week 3 (Probability Functions, Logic and Proof)

Week 4 (Sampling)

Week 5 (Independent Events, Introduction to Conditional Probability)

Week 6 (Conditional probability)

Week 8 (Conditional probability continued, Introduction to Random Variables, Discrete Random Variables)

Week 9 (Discrete Random Variables, Some Special Discrete Probability Distributions)

Week 10 (Some Special Discrete Probability Distributions, Cumulative Distribution Functions)

Week 11 (Cumulative Distribution Functions and Continuous Random Variables)

Week 12 (Joint Distributions)


Exercise Sheets

Exercise Sheet 1

Exercise Sheet 1 Solutions

Exercise Sheet 2

Exercise Sheet 2 Solutions

Exercise Sheet 3

Exercise Sheet 3 Solutions

Exercise Sheet 4

Exercise Sheet 4 Solutions

Exercise Sheet 5

Exercise Sheet 5 Solutions

Exercise Sheet 6

Exercise Sheet 6 Solutions

Exercise Sheet 7

Exercise Sheet 7 Solutions

Exercise Sheet 8

Exercise Sheet 8 Solutions

Exercise Sheet 9

Exercise Sheet 9 Solutions

Exercise Sheet 10

Exercise Sheet 10 Solutions

Exercise Sheet 11

Exercise Sheet 11 Solutions


Other Stuff

Introduction to Probability, by Charles M. Grinstead and J. Laurie Snell, a free textbook with lots of exercises.

Peter Cameron's notes for a previous version of the course. Be warned that the material was slightly different and was covered in a slightly different way. The notation used is also different in some places.

2006/07 test

2007/08 test

2008/09 test

2006/07 main exam, 2006/07 late summer resit paper

2007/08 main exam, numerical solutions

2007/08 late summer resit paper, numerical solutions

2008/09 main exam, full solutions

2008/09 late summer resit paper, numerical solutions

2009/10