WClasses

AMATH 231 - Calculus 4

Vector integral calculus-line integrals, surface integrals and vector fields, Green's theorem, the Divergence theorem, and Stokes' theorem. Applications include conservation laws, fluid flow and electromagnetic fields. An introduction to Fourier analysis. Fourier series and the Fourier transform. Parseval's formula. Frequency analysis of signals. Discrete and continuous spectra.

Prerequisites

MATH237 or MATH247.

Corequisites

None

Antirequisites

MATH207, MATH212/ECE206, MATH217, MATH227

Offerings

Spring 2026 [1265]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 00136950 / 84
TUT 10137480 / 84

Winter 2026 [1261]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001575869 / 8011:30 - 12:50 M,W
TST 201612669 / 8018:30 - 20:00 F
TUT 101575969 / 8014:30 - 15:20 T

Fall 2025 [1259]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001620055 / 6010:30 - 11:20 M,W,F
LEC 001620055 / 6010:30 - 11:20 M,W,F
TST 201659855 / 6018:30 - 19:20 T
TST 201659855 / 6018:30 - 19:20 T
TUT 101620155 / 6012:30 - 13:20 F
TUT 101620155 / 6012:30 - 13:20 F

Spring 2025 [1255]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001377661 / 6613:30 - 14:20 M,W,F
TST 201396861 / 6618:30 - 19:50 Th
TUT 101382961 / 6611:30 - 12:20 F

Winter 2025 [1251]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001583963 / 8009:30 - 10:20 M,W,F
TST 201622263 / 8018:30 - 20:00 F
TUT 101584063 / 8014:30 - 15:20 M

Fall 2024 [1249]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001616249 / 6013:00 - 14:20 M,W
TST 201658749 / 60
TUT 101616349 / 6008:30 - 09:20 T

Spring 2024 [1245]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001381450 / 6016:00 - 17:20 T,Th
TST 201401650 / 6018:30 - 20:00 F
TUT 101387050 / 6011:30 - 12:20 T

Winter 2024 [1241]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001586067 / 8010:30 - 11:20 M,W,F
TST 201627167 / 8018:30 - 20:00 F
TUT 101586167 / 8008:30 - 09:20 T

Fall 2023 [1239]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001604647 / 6011:30 - 12:50 M,W
TST 201648247 / 6018:30 - 19:20 T
TUT 101604747 / 6009:30 - 10:20 T

Spring 2023 [1235]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001393649 / 6014:30 - 15:50 T,Th
TST 201415849 / 6019:00 - 20:20 Th
TUT 101399749 / 6014:30 - 15:20 W

Winter 2023 [1231]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001598760 / 8009:30 - 10:20 M,W,FDWE 1501Maryam Ghasemi
TST 201644760 / 8018:30 - 20:00 F Maryam Ghasemi
TUT 101598860 / 8008:30 - 09:20 TE2 1732

Fall 2022 [1229]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001713940 / 6013:30 - 14:20 M,W,FHH 334Michael Waite
TST 201759840 / 6018:30 - 20:00 F Michael Waite
TUT 101714040 / 6008:30 - 09:20 MPHY 150Michael Waite

Spring 2022 [1225]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001371756 / 6008:30 - 09:50 T,ThPHY 150Keegan Kirk
TST 201397756 / 6019:00 - 20:20 Th
TUT 101378956 / 6011:30 - 12:20 WPHY 150

Winter 2022 [1221]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001585151 / 8010:00 - 11:20 T,ThE2 1732Achim Kempf
TST 201637051 / 8018:30 - 19:50 T Achim Kempf
TUT 101585251 / 8014:30 - 15:20 MRCH 305

Fall 2021 [1219]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001608455 / 100 Michael Waite
TST 201672155 / 100
TUT 101608555 / 100 Michael Waite

Spring 2021 [1215]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 041346061 / 120 Zoran Miskovic

Winter 2021 [1211]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 041590264 / 120 Matthew Harris
TST 241642164 / 120
TUT 141590364 / 120

Fall 2020 [1209]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 041598056 / 136 Achim Kempf
TST 241661756 / 136
TUT 141598156 / 136

Spring 2020 [1205]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001374773 / 120 Zoran Miskovic

Winter 2020 [1201]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001574764 / 8014:30 - 15:20 M,W,FPHY 313Justin Shaw
TST 201627864 / 8018:30 - 19:50 Th
TUT 101574864 / 8008:30 - 09:20 TRCH 305

Fall 2019 [1199]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001580050 / 6814:30 - 15:20 M,W,FMC 2034Joe West
TST 201646250 / 6816:30 - 18:00 F Joe West
TUT 101580150 / 6816:30 - 17:20 MRCH 204

Spring 2019 [1195]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001375855 / 6010:00 - 11:20 T,ThMC 4063Zoran Miskovic
TST 201403955 / 6019:00 - 20:20 Th Zoran Miskovic
TUT 101383255 / 6011:30 - 12:20 TMC 4063

Winter 2019 [1191]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001562256 / 8012:30 - 13:20 M,W,FPHY 313Edward R Vrscay
TST 201617956 / 8018:30 - 19:50 T Edward R Vrscay
TUT 101562356 / 8014:30 - 15:20 TE2 1732

Fall 2018 [1189]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001564550 / 6811:30 - 12:20 M,W,FMC 4041Edward R Vrscay
TST 201633150 / 6818:30 - 19:50 T Edward R Vrscay
TUT 101564650 / 6811:30 - 12:20 TMC 4041

Spring 2018 [1185]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001364860 / 6013:30 - 14:20 M,W,FMC 4040Joseph John West
TST 201396160 / 6017:30 - 18:50 W Joseph John West
TUT 101372760 / 6010:30 - 11:20 ThMC 4058

Winter 2018 [1181]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001567472 / 8012:30 - 13:20 M,W,FAL 105Joseph John West
TST 201626872 / 8018:30 - 19:50 F Joseph John West
TUT 101567572 / 8010:30 - 11:20 TRCH 309

Fall 2017 [1179]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001573342 / 6811:30 - 12:20 M,WMC 4040Puneet Sharma
TST 201647642 / 6811:30 - 12:50 Th
TUT 101573442 / 6814:30 - 15:20 ThMC 4041

Spring 2017 [1175]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001364950 / 6009:30 - 10:20 M,W,FMC 4060Zoran Miskovic
TST 201488550 / 6008:30 - 09:50 Th
TUT 101373450 / 6014:30 - 15:20 TMC 4060

Winter 2017 [1171]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001540557 / 7012:30 - 13:20 M,W,FMC 4040Matthew Scott
TST 201604157 / 70
TUT 101540657 / 7016:30 - 17:20 MMC 4040

Fall 2016 [1169]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001570935 / 6809:30 - 10:20 M,W,FMC 4041Michael L. Waite
TST 201651635 / 6810:00 - 11:20 T
TUT 101571035 / 6810:30 - 11:20 ThCPH 3602

Spring 2016 [1165]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001365552 / 6011:30 - 12:20 M,W,FMC 2035Zoran Miskovic
TUT 101374852 / 6016:30 - 17:20 MMC 4040Zoran Miskovic

Winter 2016 [1161]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001594451 / 7009:30 - 10:20 M,W,FMC 2038Matthew Scott
TST 201797251 / 70
TUT 101594551 / 7015:30 - 16:20 MMC 4040

Fall 2015 [1159]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001597122 / 6812:30 - 13:20 M,W,FB2 350Edward R Vrscay
TST 201857022 / 6818:00 - 19:20 T
TUT 101597222 / 6815:30 - 16:20 TMC 4041

Spring 2015 [1155]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001372641 / 6013:30 - 14:20 M,W,FMC 4041Joseph John West
TST 201509041 / 6015:30 - 16:50 T
TUT 101382241 / 6015:30 - 16:20 TMC 4042

Winter 2015 [1151]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001573250 / 7014:30 - 15:20 M,W,FMC 2034Edward R Vrscay
TUT 101573350 / 7016:30 - 17:20 MMC 1056

Fall 2014 [1149]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001563428 / 6814:30 - 15:20 M,W,FMC 1056Francis Poulin
TUT 101563528 / 6816:30 - 17:20 MMC 2035

Spring 2014 [1145]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001363645 / 6011:30 - 12:20 M,W,FMC 4063Joseph John West
TUT 101373445 / 6016:30 - 17:20 WMC 4040

Winter 2014 [1141]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001554347 / 7013:30 - 14:20 M,W,FDWE 3522Conrad G Hewitt
TUT 101554447 / 7016:30 - 17:20 WMC 2034Conrad G Hewitt

Fall 2013 [1139]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001528829 / 6810:30 - 11:20 M,W,FMC 4041Amenda Chow
TUT 101528929 / 6816:30 - 17:20 WMC 4041

Spring 2013 [1135]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001346658 / 6014:30 - 15:20 M,W,FMC 2038Joseph John West
TUT 101357558 / 6016:30 - 17:20 MMC 2038

Winter 2013 [1131]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001529972 / 7013:30 - 14:20 M,W,FMC 2017Conrad G Hewitt
TUT 101530072 / 7016:30 - 17:20 WMC 2034Conrad G Hewitt

Fall 2012 [1129]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001520628 / 6810:30 - 11:20 M,W,FDC 1350Edward R Vrscay
TUT 101520728 / 6816:30 - 17:20 WMC 4041

Spring 2012 [1125]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001351644 / 6014:30 - 15:20 M,W,FMC 2038Joseph John West
TUT 101364644 / 6016:30 - 17:20 MMC 2038

Winter 2012 [1121]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001507751 / 7013:30 - 14:20 M,W,FDWE 3516Edward R Vrscay
TUT 101507851 / 7016:30 - 17:20 WMC 2038Edward R Vrscay

Fall 2011 [1119]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001503147 / 6810:30 - 11:20 M,W,FMC 2038Michael L. Waite
TUT 101503247 / 6816:30 - 17:20 WMC 2038

Spring 2011 [1115]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001341039 / 6014:30 - 15:20 M,W,FMC 4059Joseph John West
TUT 101355739 / 6016:30 - 17:20 MMC 4042

Winter 2011 [1111]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001503170 / 7013:30 - 14:20 M,W,FMC 4045Michael L. Waite
TUT 101503270 / 7016:30 - 17:20 WMC 2038

Fall 2010 [1109]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001506226 / 6810:30 - 11:20 M,W,FEIT 3142Conrad G Hewitt
TUT 101506326 / 6816:30 - 17:20 WMC 4041

Spring 2010 [1105]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001493848 / 6014:30 - 15:20 M,W,FMC 1056Joseph John West
TUT 101529448 / 60

Winter 2010 [1101]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001498258 / 7013:30 - 14:20 M,W,FMC 2054Michael L. Waite
TUT 101498358 / 7016:30 - 17:20 WMC 2035

Fall 2009 [1099]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001477549 / 6810:30 - 11:20 M,W,FMC 2017Matthew Scott
TUT 101477649 / 6816:30 - 17:20 WMC 4045

Spring 2009 [1095]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001329635 / 6010:30 - 11:20 M,W,FMC 4042Joseph John West
TUT 10145825 / 60

Winter 2009 [1091]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001419139 / 7013:30 - 14:20 M,W,FRCH 306Joseph John West
TUT 101419239 / 7016:30 - 17:20 WMC 2035

Fall 2008 [1089]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001363539 / 6810:30 - 11:20 M,W,FMC 2034Matthew Scott
TUT 101363639 / 6816:30 - 17:20 WMC 4041

Spring 2008 [1085]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001274735 / 6010:30 - 11:20 M,W,FMC 4063Hans DeSterck

Winter 2008 [1081]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001335450 / 7013:30 - 14:20 M,W,FMC 4045Conrad G Hewitt
TUT 101335550 / 7016:30 - 17:20 WMC 2035

Fall 2007 [1079]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001333733 / 6810:30 - 11:20 M,W,FMC 4045Conrad G Hewitt
TUT 101333833 / 6816:30 - 17:20 WMC 4041

Spring 2007 [1075]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001236738 / 6010:30 - 11:20 M,W,FMC 4063Bernard Bodmann

Winter 2007 [1071]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001328841 / 7013:30 - 14:20 M,W,FMC 2054Conrad G Hewitt
TUT 101328941 / 7016:30 - 17:20 WMC 2054

Fall 2006 [1069]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001321343 / 6810:30 - 11:20 M,W,FMC 2054Francis Poulin
TUT 101321443 / 6816:30 - 17:20 WMC 2054

Spring 2006 [1065]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001240339 / 6010:30 - 11:20 M,W,FMC 4063Francis Poulin

Winter 2006 [1061]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001316056 / 6013:30 - 14:20 M,W,F,M,C Bernard Bodmann
TUT 101316156 / 6016:30 - 17:20 W,M,C

Fall 2005 [1059]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001311330 / 6810:30 - 11:20 M,W,F,C,P,H John Wainwright
TUT 101311430 / 6816:30 - 17:20 W,M,C

Spring 2005 [1055]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001244535 / 5010:30 - 11:20 M,W,F,M,C Beverly J Marshman

Winter 2005 [1051]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001310337 / 5013:30 - 14:20 M,W,F,M,C Hans De Sterck
TUT 101310437 / 5016:30 - 17:20 W,M,C

Fall 2004 [1049]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001309337 / 6810:30 - 11:20 M,W,F,D,W,E John Wainwright
TUT 101309437 / 6816:30 - 17:20 W,M,C

Spring 2004 [1045]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001289632 / 5010:30 - 11:20 M,W,F,M,C C. Barry Collins

Winter 2004 [1041]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001295235 / 5013:30 - 14:20 M,W,F,M,C C. Barry Collins
TUT 101295335 / 5016:30 - 17:20 W,M,C

Fall 2003 [1039]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001300030 / 6809:30 - 10:20 M,W,F,M,C John Wainwright
TUT 101300130 / 6816:30 - 17:20 W,M,C John Wainwright

Winter 2003 [1031]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001354338 / 5014:30 - 15:20 M,W,F,M,C Beverly J Marshman
TUT 101354438 / 5016:30 - 17:20 W,M,C Beverly J Marshman

Fall 2002 [1029]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001285651 / 6812:30 - 13:20 M,W,F,M,C John Wainwright
TUT 101285751 / 6816:30 - 17:20 W,M,C John Wainwright

Winter 2002 [1021]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001110836 / 5014:30 - 15:20 M,W,F,M,C Beverly J Marshman
TUT 101111036 / 5016:30 - 17:20 W,M,C Beverly J Marshman

Fall 2001 [1019]

SectionClassEnrolledTimeDaysLocationInstructor
LEC 001151552 / 6812:30 - 13:20 M,W,F,R,C,H John Wainwright
TUT 101151652 / 6816:30 - 17:20 W,M,C John Wainwright

UW Flow Ratings

Liked: 87.95%

87.95%

Easy: 61.82%

61.82%

Useful: 85.27 %

85.27%

AMATH 231 leads to

AMATH 333 - Calculus on Manifolds for Applied Mathematics and Physics

AMATH 353 - Partial Differential Equations 1

AMATH 361 - Continuum Mechanics

AMATH 373 - Quantum Theory 1

AMATH 391 - Data Analysis with Fourier and Wavelet Methods

AMATH 475 - Introduction to General Relativity

PHYS 242 - Electricity and Magnetism 1

PHYS 276 - Introduction to Gravitational Physics

PHYS 396 - Biophysics of Imaging

PHYS 476 - Introduction to General Relativity

PMATH 365 - Differential Geometry

AMATH 473 - Quantum Theory 2

PHYS 454 - Quantum Theory 2

PHYS 335 - Condensed Matter Physics

PHYS 376 - Relativistic Physics

PHYS 436 - Condensed Matter