PMATH 331 - Applied Real Analysis
Topology of Euclidean spaces, continuity, norms, completeness. Contraction mapping principle. Fourier series. Various applications, for example, to ordinary differential equations, optimization and numerical approximation.
Prerequisites
MATH237 or MATH247
Offerings
Winter 2026 [1261]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6179 | 23 / 36 | 11:30 - 12:50 | M,W | | |
Fall 2025 [1259]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6241 | 26 / 96 | 13:30 - 14:20 | M,W,F | | |
| LEC 001 | 6241 | 26 / 96 | 13:30 - 14:20 | M,W,F | | |
Winter 2025 [1251]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6279 | 35 / 36 | 16:00 - 17:20 | M,W | | |
Fall 2024 [1249]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6205 | 34 / 96 | 14:30 - 15:20 | M,W,F | | |
Winter 2024 [1241]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6331 | 29 / 36 | 10:00 - 11:20 | T,Th | | |
Fall 2023 [1239]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6089 | 22 / 45 | 08:30 - 09:20 | M,W,F | | |
Winter 2023 [1231]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6517 | 27 / 36 | 10:30 - 11:20 | M,W,F | PAS 2083 | Ali Assem Abdelkader Mahmoud |
Fall 2022 [1229]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 7192 | 35 / 45 | 14:30 - 15:20 | M,W,F | AL 116 | Andrew Staal |
| LEC 002 | 11078 | 1 / 1 | | | | |
Winter 2022 [1221]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6468 | 32 / 36 | 10:30 - 11:20 | M,W,F | | Henry Shum |
| TUT 101 | 9545 | 32 / 36 | 11:30 - 12:50 | T | MC 4061 | Henry Shum |
Fall 2021 [1219]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6142 | 12 / 40 | 14:30 - 15:20 | M,W,F | MC 2065 | Nico Spronk |
Winter 2021 [1211]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 6519 | 28 / 70 | | | | Henry Shum |
Fall 2020 [1209]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 6038 | 63 / 70 | | | | Stephen New |
Winter 2020 [1201]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6392 | 34 / 36 | 16:30 - 17:20 | M,W,F | MC 2038 | Henry Shum |
Fall 2019 [1199]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5858 | 35 / 45 | 14:30 - 15:20 | M,W,F | MC 4020 | Kathryn Hare |
Winter 2019 [1191]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6343 | 29 / 30 | 11:30 - 12:20 | M,W,F | MC 2034 | Park Heng Henry Shum |
Fall 2018 [1189]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5703 | 44 / 45 | 15:30 - 16:20 | M,W,F | MC 2065 | Blake Madill |
Winter 2018 [1181]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 8550 | 27 / 30 | 10:30 - 11:20 | M,W,F | RCH 105 | Park Heng Henry Shum |
Fall 2017 [1179]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5793 | 26 / 30 | 15:30 - 16:20 | M,W,F | RCH 307 | Robert Andre |
Winter 2017 [1171]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5408 | 24 / 30 | 15:30 - 16:20 | M,W,F | MC 4041 | Xinzhi Liu |
Fall 2016 [1169]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5770 | 21 / 30 | 09:30 - 10:20 | M,W,F | RCH 112 | Robert Andre |
Winter 2016 [1161]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5947 | 27 / 30 | 16:30 - 17:20 | M,W,F | RCH 207 | Xinzhi Liu |
Fall 2015 [1159]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6036 | 27 / 30 | 13:30 - 14:20 | M,W,F | MC 2066 | Robert Andre |
Winter 2015 [1151]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5735 | 27 / 30 | 11:30 - 12:20 | M,W,F | MC 4060 | Xinzhi Liu |
Fall 2014 [1149]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5701 | 21 / 30 | 11:30 - 12:20 | M,W,F | RCH 307 | Robert Andre |
Winter 2014 [1141]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5546 | 24 / 30 | 09:30 - 10:20 | M,W,F | MC 4063 | Xinzhi Liu |
Fall 2013 [1139]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5356 | 24 / 30 | 12:30 - 13:20 | M,W,F | MC 4021 | Robert Andre |
Winter 2013 [1131]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5302 | 25 / 30 | 09:30 - 10:20 | M,W,F | RCH 308 | Lilia Krivodonova |
Fall 2012 [1129]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5274 | 24 / 28 | 12:30 - 13:20 | M,W,F | MC 4061 | Robert Andre |
Winter 2012 [1121]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5080 | 33 / 30 | 09:30 - 10:20 | M,W,F | MC 4058 | Lilia Krivodonova |
Fall 2011 [1119]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5101 | 39 / 48 | 12:30 - 13:20 | M,W,F | MC 1056 | Kenneth R Davidson |
Winter 2011 [1111]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5034 | 11 / 30 | 09:30 - 10:20 | M,W,F | MC 4042 | Xinzhi Liu |
Fall 2010 [1109]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5134 | 38 / 40 | 11:30 - 12:20 | M,W,F | MC 2035 | Pekka Salmi |
Winter 2010 [1101]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4985 | 18 / 30 | 09:30 - 10:20 | M,W,F | RCH 308 | Xinzhi Liu |
Fall 2009 [1099]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4848 | 32 / 30 | 11:30 - 12:20 | M,W,F | MC 1056 | Frank A Zorzitto |
Winter 2009 [1091]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4194 | 20 / 30 | 09:30 - 10:20 | M,W,F | MC 4058 | Lilia Krivodonova |
Fall 2008 [1089]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3717 | 20 / 30 | 11:30 - 12:20 | M,W,F | MC 2038 | Robert Andre |
Winter 2008 [1081]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3357 | 29 / 30 | 12:30 - 13:20 | M,W,F | MC 4063 | Dong Eui Chang |
Fall 2007 [1079]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3419 | 25 / 30 | 11:30 - 12:20 | M,W,F | RCH 110 | Nicolaas Spronk |
Winter 2007 [1071]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3291 | 30 / 35 | 12:30 - 13:20 | M,W,F | DWE 3516 | Dong Eui Chang |
Fall 2006 [1069]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3300 | 27 / 30 | 11:30 - 12:20 | M,W,F | RCH 308 | Robert Andre |
Winter 2006 [1061]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3163 | 25 / 35 | 11:30 - 12:20 | M,W,F,M,C | | Dong Eui Chang |
Fall 2005 [1059]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3209 | 21 / 30 | 11:30 - 12:20 | M,W,F,R,C,H | | Robert Andre |
Winter 2005 [1051]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3106 | 30 / 35 | 11:30 - 12:20 | M,W,F,M,C | | C. Barry Collins |
Fall 2004 [1049]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3194 | 23 / 30 | 11:30 - 12:20 | M,W,F,R,C,H | | Robert Andre |
Winter 2004 [1041]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 2955 | 25 / 30 | 11:30 - 12:20 | M,W,F,M,C | | David Siegel |
Fall 2003 [1039]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3108 | 16 / 30 | 11:30 - 12:20 | M,W,F,P,H,Y | | Robert Andre |
Winter 2003 [1031]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3548 | 18 / 30 | 11:30 - 12:20 | M,W,F,M,C | | C. Barry Collins |
Fall 2002 [1029]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 2971 | 20 / 30 | 11:30 - 12:20 | M,W,F,R,C,H | | Kathryn E Hare |
Winter 2002 [1021]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 1117 | 13 / 30 | 11:30 - 12:20 | M,W,F,M,C | | C. Barry Collins |
Fall 2001 [1019]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 2331 | 13 / 30 | 11:30 - 12:20 | M,W,F,R,C,H | | Kathryn E Hare |