PMATH 650 - Measure Theory
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.
Offerings
Spring 2026 [1265]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3829 | 0 / 10 | | | | |
Fall 2025 [1259]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6705 | 2 / 15 | 09:30 - 10:20 | M,W,F | | |
| LEC 001 | 6705 | 2 / 15 | 09:30 - 10:20 | M,W,F | | |
Spring 2025 [1255]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3922 | 0 / 10 | 13:30 - 14:20 | M,W,F | | |
Spring 2024 [1245]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3968 | 5 / 10 | 14:30 - 15:20 | M,W,F | | |
Fall 2023 [1239]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6608 | 1 / 10 | 16:30 - 17:20 | M,W,F | | |
Spring 2023 [1235]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4100 | 0 / 10 | 11:30 - 12:20 | M,W,F | | |
Fall 2022 [1229]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 7774 | 0 / 15 | | | | |
Spring 2022 [1225]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3904 | 4 / 10 | 11:30 - 12:20 | M,W,F | RCH 308 | Michael Brannan |
Winter 2022 [1221]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6161 | 3 / 10 | 11:30 - 12:20 | M,W,F | PHY 313 | Alexandru Nica |
Fall 2021 [1219]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 9552 | 2 / 15 | | | | Blake Madill |
Spring 2021 [1215]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 3584 | 1 / 10 | | | | Blake Madill |
Winter 2021 [1211]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 6212 | 2 / 10 | | | | Blake Madill |
Spring 2020 [1205]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3934 | 1 / 5 | | | | Kathryn Hare |
Winter 2020 [1201]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6062 | 0 / 10 | 09:30 - 10:20 | M,W,F | MC 4045 | Blake Madill |
Spring 2019 [1195]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3951 | 1 / 10 | 13:00 - 14:20 | T,Th | MC 4058 | Laurent Marcoux |
Winter 2019 [1191]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5943 | 1 / 10 | 16:30 - 17:20 | M,W,F | MC 2038 | Stephen New |
Spring 2018 [1185]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3850 | 1 / 10 | 12:30 - 13:20 | M,W,F | RCH 204 | Stephen New |
Winter 2018 [1181]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6006 | 1 / 10 | 13:00 - 14:20 | T,Th | MC 4040 | Laurent Walsh Marcoux |
Spring 2017 [1175]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3865 | 1 / 10 | 11:30 - 12:20 | M,W,F | MC 4060 | Kathryn E Hare |
Winter 2017 [1171]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5742 | 0 / 10 | 09:30 - 10:20 | M,W,F | MC 4045 | Kenneth R Davidson |
Spring 2016 [1165]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3893 | 2 / 10 | 10:30 - 11:20 | M,W,F | MC 4063 | Kathryn E Hare |
Winter 2016 [1161]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6296 | 2 / 10 | 13:30 - 14:20 | M,T,Th | PHY 235 | Kenneth R Davidson |
Spring 2015 [1155]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3984 | 0 / 10 | 10:30 - 11:20 | M,W,F | MC 4041 | Kathryn E Hare |
Winter 2015 [1151]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6092 | 1 / 10 | 11:00 - 12:20 | T,Th | PHY 150 | Mahya Ghandehari |
Spring 2014 [1145]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4764 | 0 / 10 | 14:30 - 15:50 | W,F | MC 2038 | Laurent Walsh Marcoux |
Winter 2014 [1141]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5926 | 4 / 10 | 14:30 - 15:20 | M,W,F | MC 2035 | Laurent Walsh Marcoux |
Spring 2013 [1135]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5516 | 1 / 15 | 11:30 - 12:20 | M,W,F | MC 4045 | Elcim Elgun |
Winter 2013 [1131]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5713 | 0 / 10 | 14:30 - 15:20 | M,W,F | RCH 305 | Elcim Elgun |
Winter 2012 [1121]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5556 | 0 / 10 | 14:30 - 15:20 | M,W,F | PHY 313 | Nicolaas Spronk |
Winter 2011 [1111]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6944 | 4 / 15 | 11:30 - 12:20 | M,W,F | MC 4045 | Kathryn E Hare |
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