AMATH 231Calculus 4
- Units
- 0.50
- Faculty
- Mathematics
- Subject
- Applied Mathematics
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 7 of the last 7 terms. Winter 2027: scheduled, 2 lecture sections. Spring 2027: schedule not out yet.
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
Antirequisites
- Not completed nor concurrently enrolled in any of the following:
Leads to
Fall 2026 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 5957 | 65 / 84 | MWF 13:30–14:20 |
| TUT 101 | 5958 | 65 / 84 | F 14:30–15:20 |
| TST 201 | 6289 | 65 / 84 | Oct 21 18:30–19:20 |
Winter 2027 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 5574 | 0 / 90 | MWF 10:30–11:20 |
| LEC 701 | 2262 | 81 / 9999 | Online or by arrangement |
| TUT 101 | 5575 | 0 / 90 | M 13:30–14:20 |
| TST 201 | 5918 | 0 / 90 | Mar 1 19:30–20:50 |
Resources
Around the web
Found by uwloo’s link finder, which checks that each page names AMATH 231.
- AMATH 231 - Calculus IV: Vector Calculus and Fourier Series, Fall 2018 Other · Fall 2018 · links.uwaterloo.ca · posted on r/uwaterloo Sep 2020 Remove
Reviewed on UW Flow
88% liked it62% easy85% useful
From 83 ratings and 26 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.
not the most organized class, TA's were very questionable. Good material and useful.
Sep 2025 · liked it · 2 found this helpfulOn UW FlowRemove this
Good course in the Calculus Sequence. About as difficult as MATH237 and interesting if you care about any topics that vector calculus can be applied too. Excellently paced if you take it with Joe West. Fourier analysis portion is a bit duller, drier and more tedious.
Mar 2025 · liked it · 1 found this helpfulOn UW FlowRemove this
Once you start understanding what the formulas and theorems actually mean in the physical world it's so amazing. It's like you're hearing "the music" of the world.
Shout out to Joe West, goat prof.Oct 2026 · liked itOn UW FlowRemove this
You learn plenty of important things that can be applied to a variety of fields. Would recommend this course to anyone that enjoyed MATH 237, as it really felt like this course tied together a lot of topics/concepts that were introduced in MATH 237. The fact that grade depended entirely on midterm and final (40% and 60% respectively) was a bit rough, but felt that the exams were very fair. Course contained some physics knowledge, but definitely doable as someone not in a physics/amath-related degree (I'm pursuing actuarial science + stats myself)
Aug 2026 · liked itOn UW FlowRemove this
Really fun, interesting, and easy course with Michael Waite. The TAs marked everything really quickly, which was much appreciated. Make sure to review integration from MATH 138 if you take this class.
May 2024 · liked itOn UW FlowRemove this
Discussed on r/uwaterloo
157 posts and comments in 130 threads mention AMATH 231, February 2011 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.
Fall 2024
Choosing a math major: CO/AMATH/AMATH with Scientific Computing/STATS/Data Science/CompMath 5 points, 3 comments
“To upper year math students, graduates and graduated math alumni: I'm in 2A math right now and it's about time to pick one direction to go for the rest of my undergrad and potentially graduate …”
u/surker512: “… Try AMATH 250 & 231, STAT 230 & 231. STAT 230 is a friendly stat course. It’s foundational content and you’ll use it in any future stat course you take. I haven’t taken AMATH 231 but plan to. …”
Spring 2024
Easy UW electives 4 points, 0 comments
u/Own_Lengthiness3563: “I have to take three math electives in the fall term and I am confused between the following electives. I am looking to take easy electives and thus, would need some guidance on which ones to take. I am confused between PMATH 340 and stat 337. Math 229 and amath 231. Amath 351.”
Does AMATH 231 has a weekly quiz? 1 point, 1 comment
u/Inner-Analysis-2154: “I am taking AMATH 231 in FALL. I am just wondering if it has a weekly quiz , like what we did in MATH 237.”
How is AMATH 333? 4 points, 4 comments
u/Personal-Werewolf-26: “… As someone who enjoys mechanics and geometry, and vector calc (AMATH 271/AMATH 231) I'd say this is seems to be something I would enjoy, though some topics include differential forms/geo which would be things introduced in PMATH 365 which I am taking the Winter after, and topics …”
thoughts on taking math235/237 as a cs major? 6 points, 6 comments
“i was originally pretty excited about never having to take calc or lin alg ever again but i have multiple friends in cs who are planning to still take math 235 and math 237 because they say there are …”
u/davidgur123: “… MATH 237 was a means to an end for me: I wanted to take AMATH 391, which required MATH 237 --> AMATH 231 --> AMATH 391. …”
Winter 2024
AMATH 231 3 points, 1 comment
u/simardeepsinghh: “Is AMATH 231 (offered by Zoran Miskovic next term) worth taking? How easy/difficult should I expect it to be? I'm in pmath but want to learn some more vector calculus. Thanks!”
Spring 2023
Most useful Calculus/Analysis type math course for second year CS major 1 point, 1 comment
u/Mysterious_You_3555: “I completed MATH 138 and was wondering which courses that are similiar to MATH 237 or AMATH 231 might be useful for me to take. I am already taking MATH 235 and am planning on taking CO courses in later terms.”
Amath 231 grade breakdown 1 point, 0 comments
u/PandaAvailable2504: “Those who took amath 231 before, how was it compared to amath 250 / math 237 and what was the grade breakdown?”
AMATH 231 1 point, 0 comments
u/UserNameTaken4EverHa: “Should I take that with Zoran this term?”
Winter 2023
Do I need any prior calculus knowledge to take MATH127? 0 points, 4 comments
“Due to personal issues I had to drop MATH137 last term, and ended up dropping MATH127 early his term due to the same problem. …”
u/SoopaChris: “Everything up to and including Inverse mapping theorem and change of variables theorem for double integrals is considered prerequisite knowledge”
u/Mysterious_You_3555: “I second this MATH 237 -> 127 was a hard transition even though its enough of a prerequisite according to UW. I highly recommend also taking AMATH 231 before hand”
AMath242 3 points, 3 comments
u/Skyfriendkarim: “… of learning m239 and I can either take a differential equations course(which ik I’d hate), amath231 or amath242. (Please correct me if I’m wrong) Anyways, I wanted to ask, is amath242(/Cs371) a good course to take? …”
Study group (co 250, math 239, amath 231) 1 point, 0 comments
u/CryLegitimate1157: “Looking to join or form a study group for these courses. Pm to make arrangements :)”
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