Probability with Measure
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Chapter A Advice for revision/exams
There are two different exam papers, one for MAS31002 and one for MAS61022. For both exams the rubric reads
Candidates should attempt ALL questions. The maximum marks for the various parts of the questions are indicated. The paper will be marked out of 50.
Within these notes, material marked with a \((\de )\) is examinable only for MAS61022, and is non-examinable for MAS31002. Material marked with a \((\star )\) is non-examinable for everyone.
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• You will be asked to solve problems based on the material in these notes. There will be a broad range of difficulty amongst the questions. Some will be variations of questions in the assignments/notes, others will
also try to test your ingenuity.
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• You may be asked to state important definitions and results (e.g. more than one past exam has asked for definition of a measure).
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• You will not be expected to reproduce long proofs from memory. You are expected to have followed the techniques within the proofs when they are present, and to be able to use these techniques in your own
problem solving.
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• There are marks for attempting a suitable method, and for justifying rigorous mathematical deductions, as well as for reaching a correct conclusion.
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• If you apply an important result that has a name e.g. ‘the Dominated Convergence Theorem’ you should mention that name, or something similar e.g. ‘by dominated convergence’ or ‘by the DCT’.
Revision activities
The most important activities:
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1. Check and mark your solutions to assignment questions.
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2. Learn the key definitions, results, and examples.
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3. Do the past exam papers, and mark your own solutions.
Other very helpful activities:
Of course, you should have been working on these questions throughout the year, which is why they are lower priority now. You do not need to look at the challenge questions as part of your revision – these
are intended only to offer a serious, time consuming challenge to strong students.
In all cases, you are welcome to come and discuss any questions/comments/typos. Please use office hours or email to arrange a convenient time.