PMATH 450 - 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 | 3828 | 0 / 50 | | | | |
Fall 2025 [1259]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6689 | 33 / 81 | 09:30 - 10:20 | M,W,F | | |
| LEC 001 | 6689 | 33 / 81 | 09:30 - 10:20 | M,W,F | | |
Spring 2025 [1255]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3921 | 36 / 70 | 13:30 - 14:20 | M,W,F | | |
Spring 2024 [1245]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3967 | 51 / 70 | 14:30 - 15:20 | M,W,F | | |
Fall 2023 [1239]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6586 | 41 / 50 | 16:30 - 17:20 | M,W,F | | |
Spring 2023 [1235]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4099 | 24 / 45 | 11:30 - 12:20 | M,W,F | | |
Fall 2022 [1229]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 7741 | 28 / 35 | 12:30 - 13:20 | M,W,F | RCH 207 | Laurent Marcoux |
| LEC 002 | 11153 | 0 / 1 | | | | |
Spring 2022 [1225]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3903 | 20 / 45 | 11:30 - 12:20 | M,W,F | RCH 308 | Michael Brannan |
Winter 2022 [1221]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5860 | 26 / 30 | 11:30 - 12:20 | M,W,F | PHY 313 | Alexandru Nica |
Fall 2021 [1219]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 7037 | 33 / 60 | | | | Blake Madill |
Spring 2021 [1215]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 3583 | 21 / 40 | | | | Blake Madill |
Winter 2021 [1211]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 5911 | 77 / 90 | | | | Blake Madill |
Spring 2020 [1205]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3933 | 35 / 40 | | | | Kathryn Hare |
Winter 2020 [1201]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5756 | 32 / 50 | 09:30 - 10:20 | M,W,F | MC 4045 | Blake Madill |
Fall 2019 [1199]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 10009 | 1 / 1 | | | | |
Spring 2019 [1195]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3950 | 28 / 45 | 13:00 - 14:20 | T,Th | MC 4058 | Laurent Marcoux |
Winter 2019 [1191]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5631 | 58 / 50 | 16:30 - 17:20 | M,W,F | MC 2038 | Stephen New |
Spring 2018 [1185]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3849 | 37 / 45 | 12:30 - 13:20 | M,W,F | RCH 204 | Stephen New |
Winter 2018 [1181]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5687 | 31 / 40 | 13:00 - 14:20 | T,Th | MC 4040 | Laurent Walsh Marcoux |
Fall 2017 [1179]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 9500 | 1 / 1 | | | | |
Spring 2017 [1175]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3864 | 21 / 40 | 11:30 - 12:20 | M,W,F | MC 4060 | Kathryn E Hare |
Winter 2017 [1171]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5418 | 29 / 45 | 09:30 - 10:20 | M,W,F | MC 4045 | Kenneth R Davidson |
Spring 2016 [1165]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3892 | 26 / 40 | 10:30 - 11:20 | M,W,F | MC 4063 | Kathryn E Hare |
Winter 2016 [1161]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5958 | 25 / 45 | 13:30 - 14:20 | M,T,Th | PHY 235 | Kenneth R Davidson |
Spring 2015 [1155]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3983 | 17 / 35 | 10:30 - 11:20 | M,W,F | MC 4041 | Kathryn E Hare |
Winter 2015 [1151]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5746 | 35 / 45 | 11:00 - 12:20 | T,Th | PHY 150 | Mahya Ghandehari |
Spring 2014 [1145]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4763 | 12 / 35 | 14:30 - 15:50 | W,F | MC 2038 | Laurent Walsh Marcoux |
Winter 2014 [1141]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5557 | 35 / 70 | 14:30 - 15:20 | M,W,F | MC 2035 | Laurent Walsh Marcoux |
Spring 2013 [1135]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5063 | 24 / 35 | 11:30 - 12:20 | M,W,F | MC 4045 | Elcim Elgun |
Winter 2013 [1131]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5314 | 52 / 70 | 14:30 - 15:20 | M,W,F | RCH 305 | Elcim Elgun |
Winter 2012 [1121]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5092 | 59 / 70 | 14:30 - 15:20 | M,W,F | PHY 313 | Nicolaas Spronk |