Measure and Integration (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

100%: Lecture

Assessment

20%: Coursework (Problem Set)
80%: Examination (Unseen examination)

Contact hours and workload

We’re currently reviewing contact hours for modules and will update with further information as soon as it is available.

This module is running in the academic year 2019/20. We also plan to offer it in future academic years. It may become unavailable due to staff availability, student demand or updates to our curriculum. We’ll make sure to let our applicants know of such changes to modules at the earliest opportunity.

Courses

This module is offered on the following courses: