| 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. Slastikov |
| Open unit status | Not open |
| Units you must take before you take this one (pre-requisite units) |
MATH20006 Metric Spaces |
| Units you must take alongside this one (co-requisite units) |
None |
| Units you may not take alongside this one | |
| 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.
The unit will be taught through a combination of
100% Timed, open-book 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.
If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.
If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH30007).
How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours
of study to complete. Your total learning time is made up of contact time, directed learning tasks,
independent learning and assessment activity.
See the Faculty workload statement relating to this unit for more information.
Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit.
The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an
assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates
within the Regulations and Code of Practice for Taught Programmes.
