Measure and Integration (L.6) (G1070)

15 credits, Level 6

Autumn teaching

This module provides a rigorous introduction to measure theory and Lebesgue integration. We will study measures and their properties, learn to construct measures from outer measures using Caratheodory's method, and construct the Lebesgue measure on the line. We will then develop the powerful concept of Lebesgue integral and make the use of it by mastering convergence theorems. The last part of the module gives an introduction to L^p spaces.

Teaching and assessment

We’re currently reviewing teaching and assessment of our modules in light of the COVID-19 situation. We’ll publish the latest information as soon as possible.

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

This module is running in the academic year 2021/22. We also plan to offer it in future academic years. However, there may be changes to this module in response to COVID-19, or due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.

It may not be possible to take some module combinations due to timetabling constraints. The structure of some courses means that the modules you choose first may determine whether later modules are core or optional.

Courses

This module is offered on the following courses: