Directional derivative and the chain rule for multivariable functions. Optimization, Lagrange multipliers. Double and triple integrals on simple domains; transformations and Jacobians; change of variable in multiple integrals. Vector fields, divergence and curl. Vector integral calculus: Line and surface integrals, Green's Theorem, Stokes' Theorem, Gauss' Theorem, conservative vector fields.
Prerequisites
MATH128 or MATH138; Only open to Science students in honours plans.
Antirequisites
AMATH231, MATH207, MATH212/ECE206, ECE217, ECE237, ECE247, MATH212N/NE217
Offerings
Winter 2026 [1261]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6573 | 37 / 50 | 11:30 - 12:20 | M,W,F | | |
| TUT 101 | 8444 | 37 / 50 | 10:30 - 11:20 | T | | |
Fall 2025 [1259]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6184 | 149 / 160 | 11:30 - 12:20 | M,W,F | | |
| TUT 101 | 6802 | 149 / 160 | 13:30 - 14:20 | F | | |
Winter 2025 [1251]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 8419 | 27 / 120 | | | | |
Fall 2023 [1239]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6029 | 123 / 130 | 13:30 - 14:20 | M,W,F | | |
| TUT 101 | 6721 | 123 / 130 | 17:30 - 18:20 | M | | |
Fall 2022 [1229]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 7122 | 122 / 200 | 15:30 - 16:20 | M,W,F | B1 271 | Paul McGrath |
| TUT 101 | 7967 | 122 / 200 | 13:30 - 14:20 | Th | HH 1101 | |
Fall 2021 [1219]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 6065 | 95 / 100 | | | | Paul McGrath |
| LEC 002 | 10729 | 67 / 100 | | | | Paul McGrath |
| TUT 101 | 10730 | 47 / 50 | 11:30 - 12:20 | M | MC 2054 | Paul McGrath |
| TUT 102 | 10731 | 48 / 50 | 11:30 - 12:20 | W | MC 2054 | Paul McGrath |
Fall 2020 [1209]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 041 | 5961 | 156 / 2000 | | | | Paul McGrath |
Fall 2019 [1199]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5781 | 170 / 180 | 10:30 - 11:20 | M,W,F | MC 2065 | Paul McGrath |
| TUT 101 | 5782 | 170 / 180 | 16:30 - 17:20 | M | AHS 1689 | |
Fall 2018 [1189]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5626 | 127 / 130 | 11:30 - 12:20 | M,W,F | STC 0050 | Beverly J Marshman |
| TUT 101 | 5627 | 127 / 130 | 17:30 - 18:20 | W | EV3 1408 | Beverly J Marshman |
Fall 2017 [1179]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5714 | 108 / 120 | 10:30 - 11:20 | M,W,F | MC 4061 | Beverly J Marshman |
| TUT 101 | 5715 | 108 / 120 | 17:30 - 18:20 | T | DWE 1501 | Beverly J Marshman |
Fall 2016 [1169]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5689 | 140 / 124 | 10:30 - 11:20 | M,W,F | STC 0060 | Beverly J Marshman |
| TUT 101 | 5690 | 140 / 124 | 17:30 - 18:20 | M | MC 4020 | Beverly J Marshman |
Fall 2015 [1159]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5951 | 108 / 120 | 10:30 - 11:20 | M,W,F | MC 4021 | Beverly J Marshman |
| TUT 101 | 5952 | 108 / 120 | 17:30 - 18:20 | M | RCH 301 | Beverly J Marshman |
Fall 2014 [1149]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5612 | 110 / 112 | 11:30 - 12:20 | M,W,F | MC 4020 | Beverly J Marshman |
| TUT 101 | 5613 | 110 / 112 | 10:30 - 11:20 | T | RCH 307 | |
Fall 2013 [1139]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5264 | 80 / 100 | 10:30 - 11:20 | M,W,F | MC 2017 | Beverly J Marshman |
| TUT 101 | 5265 | 80 / 100 | 11:30 - 12:20 | Th | RCH 105 | |
Fall 2012 [1129]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5182 | 71 / 80 | 10:30 - 11:20 | M,W,F | MC 1056 | Beverly J Marshman |
| TUT 101 | 5183 | 71 / 80 | 11:30 - 12:20 | Th | DWE 3516 | Beverly J Marshman |
Fall 2011 [1119]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5007 | 66 / 64 | 08:30 - 09:20 | M,W,F | MC 4063 | Derek Steinmoeller |
| TUT 101 | 5008 | 66 / 64 | 11:30 - 12:20 | Th | PAS 1241 | |
Fall 2010 [1109]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 5038 | 61 / 60 | 08:30 - 09:20 | M,W,F | MC 4042 | Edward R Vrscay |
| TUT 101 | 5039 | 61 / 60 | 11:30 - 12:20 | Th | MC 2038 | |
Fall 2009 [1099]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 4749 | 58 / 60 | 08:30 - 09:20 | M,W,F | RCH 306 | Edward R Vrscay |
| TUT 101 | 4750 | 58 / 60 | 11:30 - 12:20 | Th | MC 4042 | |
Fall 2008 [1089]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3609 | 47 / 60 | 08:30 - 09:20 | M,W,F | MC 4060 | Edward R Vrscay |
| TUT 101 | 3610 | 47 / 60 | 11:30 - 12:20 | Th | MC 4041 | Edward R Vrscay |
Fall 2007 [1079]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3311 | 44 / 60 | 08:30 - 09:20 | M,W,F | MC 4058 | Edward R Vrscay |
| TUT 101 | 3312 | 44 / 60 | 11:30 - 12:20 | Th | MC 4063 | Edward R Vrscay |
Fall 2006 [1069]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3186 | 60 / 60 | 08:30 - 09:20 | M,W,F | MC 4063 | Owen Maroney |
| TUT 101 | 3187 | 60 / 60 | 11:30 - 12:20 | Th | MC 4063 | Owen Maroney |
Fall 2005 [1059]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3085 | 52 / 96 | 08:30 - 09:20 | M,W,F,M,C | | Edward R Vrscay |
| TUT 101 | 3086 | 52 / 96 | 11:30 - 12:20 | Th,R,C,H | | Edward R Vrscay |
Fall 2004 [1049]
| Section | Class | Enrolled | Time | Days | Location | Instructor |
|---|
| LEC 001 | 3065 | 76 / 96 | 08:30 - 09:20 | M,W,F,M,C | | Edward R Vrscay |
| TUT 101 | 3066 | 76 / 96 | 11:30 - 12:20 | Th,M,C | | Edward R Vrscay |