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Unit information: Measure Theory and Integration in 2016/17

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

Unit name Measure Theory and Integration
Unit code MATH30007
Credit points 20
Level of study H/6
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Professor. van den Berg
Open unit status Not open

Metric Spaces (Analysis 2)



School/department School of Mathematics
Faculty Faculty of Science


Unit aims

The aim of the unit is to introduce measure theory and the Lebesgue integral.

General Description of the Unit

The course introduces the Lebesgue integral and develops the elements of measure theory. We will, (i) generalise the notions of "length", "area" and "volume", (ii) find out which functions can be integrated, and (iii) prove the main properties of the Lebesgue integral.

Additional unit information can be found at

Intended learning outcomes

At the end of the course the student should know and understand the definitions and theorems (and their proofs), and should be able to use the ideas of the course in unseen situations.

Teaching details

A standard lecture course of lectures, revision classes and problem classes

Assessment Details

100% examination

Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.

If you fail this unit and are required to resit, reassessment is by a written examination in the August/September Resit and Supplementary exam period.

Reading and References

Reading and references are available at