Mathematics: Integration Theory

Education facts

Code: MATM39

<p>The course is an alternatively compulsory course within the Master's programme in mathematics. The course gives a presentation of modern integration theory based on the general theory of measures. The students will acquire a powerful and general machinery applicable to important problems in analysis as well as in other areas of mathematics, especially probability theory.</p><p>This course treats the general notion of a measure defined on a sigma-algebra, construction of measures with help of outer measures, in particular the Lebesgue measure in Rd. These concepts are then used to define the integral of a measurable function with respect to a given measure and study its properties. The focus is on convergence theorems, that is, interchanging limits and integrals, as well as multiple integrals which appear as integrals against measures on product spaces.</p><p>http://www.maths.lu.se/</p>

Entry requirements

For admission to the course English 6 or the equivalent, and at least 90 higher education credits in science or engineering, including at least 60 credits in mathematics, are required.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Integration Theory

  Lund University

  Start date: 19 January 2026

  End date: 22 March 2026

  Pace of study: 50 %