Carleton University · MATH 4007

Measure and Integration Theory (Honours)

Credits : 0.5 creditReference year : 2026-27

Description

Lebesgue measure and integration on the real line; sigma algebras and measures; integration theory; Lp spaces; Fubini's theorem; decomposition theorems and Radon-Nikodym derivatives.

Prerequisites

  • Prerequisite(s): MATH 3001 or permission of the School.

Conditions and arrangements

  • Prerequisite(s): MATH 3001 or permission of the School.
  • Also offered at the graduate level, with different requirements, as MATH 5007 , for which additional credit is precluded.
  • Lectures three hours a week.
Reference text in its original language

Lebesgue measure and integration on the real line; sigma algebras and measures; integration theory; Lp spaces; Fubini's theorem; decomposition theorems and Radon-Nikodym derivatives.

  • Prerequisite(s): MATH 3001 or permission of the School.
  • Also offered at the graduate level, with different requirements, as MATH 5007 , for which additional credit is precluded.
  • Lectures three hours a week.

Sources and references

Dates and sources are retained to help you verify the information. Translations are provided to facilitate reading; the official source governs conditions and requirements.

Source reference : https://calendar.carleton.ca/undergrad/courses/MATH/

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