Measure and Integration

Undergraduate | 2026

Course page banner
area/catalogue icon
Area/Catalogue
MATH X310
Course ID icon
Course ID
207623
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course level icon
Course level
3
Study abroad and student exchange icon
Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes
alt
Note:
Course data is interim and subject to change

Course overview

The first aim of this course is to construct Lebesgue measure on the real line, and from there construct the Lebesgue integral. These provide the basis for many of the functions studied in mathematics and physics. The second aim of the course is to develop the abstract theory of measure and integration, which has applications, among other, to probability.

  • Lebesgue Measure
  • Integration
  • \\(L^P\\) Spaces

Course learning outcomes

  • Demonstrate proficiency in working with the Lebesgue integral
  • Prove basic results about integration on the line and in abstract settings
  • Demonstrate proficiency in working with spaces of integrable functions
  • Construct rigorous mathematical arguments at the appropriate level
  • Communicate results clearly

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A