uwloo

PMATH 650Measure Theory

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Pure Mathematics

When it runs

  1. F24
  2. W25
  3. S25
  4. F25
  5. W26
  6. S26
  7. F26
  8. W27
  9. S27

Ran in 5 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.

Review of Riemann integration. Measure spaces: sigma-algebras, Borel sets, outer measure, Caratheodory condition, Lebesgue-Steiltjes measures, translation invariance and regularity of Lebesgue measure. Measurable functions: simple approximation, Egorov's and Lusin's theorems. Integration: monotone convergence theorem, Fatou's lemma, Lebesgue dominated convergence theorem. Signed measures: Hahn and Jordan decompositions, absolute continuity of measures, Radon-Nikodym theorem. Lp spaces: completeness, separability, Riesz representation theorem.

Prerequisites

None listed.

Antirequisites

  • Not completed nor concurrently enrolled in:

Leads to

No course lists it as a requisite.

Fall 2026 sections

Enrolment from UW Open Data, which can trail Quest by up to two days. Instructors and rooms: Schedule of Classes.
SectionClassEnrolledMeets
LEC 00163791 / 15MWF 14:30–15:20

Discussed on r/uwaterloo

2 posts and comments in 2 threads mention PMATH 650, February 2019 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.

Fall 2020

Placements after MMath Statistics 5 points, 3 comments

“Hi everyone, I'm looking to apply for the MMath Statistics program and I am keen to know the following: 1. What are the placement statistics for the program? …”

u/EnumerativeCO: “Hey, I went through the program. Here are my two cents: 1) Not sure what you mean by placements. It feels to me that it's evenly split between people continuing further into academia (PhD) and people …”

u/EnumerativeCO: “That's fair. Note that you can take a lot of topics courses and some CS classes too, but I'd talk to Mary Lou about specifics. I took STAT 830, 833, 901, 902, 854, 850 and PMATH 650.”

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Winter 2019

MMath Statistics/Biostatistics 6 points, 6 comments

“Any current or former MMath Statistics (or Biostatistics) here? I received an offer this week for Biostatistics and I'm considering my options. …”

u/YueZhang: “… Source: I have taken many 900 level courses as well as PMATH650&651”

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Check it elsewhere for Fall 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 30 terms, Fall 2010 to Winter 2024