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MX5004: MEASURE THEORY (2014-2015)

Last modified: 28 Jun 2018 10:27


Course Overview

Measure theory provides a systematic framework to the intuitive concepts of the length of a curve, the area of a surface or the volume of a solid body. It is foundational to modern analysis and other branches of mathematics and physics.




Course Details

Study Type Postgraduate Level 5
Session First Sub Session Credit Points 20 credits (10 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Professor Ran Levi

What courses & programmes must have been taken before this course?

None.

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

Measure Theory abstracts and makes precise the notions of 'length' and 'volume'. In this course the basic concept of measure theory will be covered. The theory of Lebesgue integration will be introduced and various convergence results will be presented. The relevance to other branches of mathematics (for instance Probability theory and Analysis) will be discussed.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 31 August 2023 for 1st half-session courses and 22 December 2023 for 2nd half-session courses.

Summative Assessments

One 3-hour written examination (80%); one in-course assessment (20%).

Formative Assessment

There are no assessments for this course.

Feedback

None.

Course Learning Outcomes

None.

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