Measure Theory with Applications (L.6) (G1070)

15 credits, Level 6

Autumn teaching

This module provides a rigorous introduction to measure theory and Lebesgue integration.

You 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.

You 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

100%: Lecture

Assessment

20%: Coursework (Portfolio, Problem set)
80%: Examination (Computer-based examination)

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.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2022/23. However, there may be changes to these modules in response to COVID-19, 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.

Courses

This module is offered on the following courses: