| 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 | Dr. Misha Rudnev |
| Open unit status | Not open |
| Pre-requisites |
MATH20006 Metric Spaces |
| Co-requisites |
None |
| 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.
Unit Description
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.
Relation to Other Units
This unit is an element of a sequence of courses following on Level C/4 Analysis and Level I/5 Metric Spaces and Multivariable Calculus. It is a prerequisite for the Level M/7 unit Advanced Topics in Analysis.
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.
A standard lecture course of lectures, revision classes and problem classes
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.
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