AMATH 331Applied Real Analysis
- Units
- 0.50
- Faculty
- Mathematics
- Subject
- Applied Mathematics
- Cross-listed
- PMATH 331
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 5 of the last 7 terms. Winter 2027: scheduled, 2 lecture sections. Spring 2027: schedule not out yet.
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
Antirequisites
Leads to
Fall 2026 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 5964 | 37 / 80 | MWF 08:30–09:20 |
Winter 2027 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 5968 | 0 / 80 | MW 10:00–11:20 |
| LEC 701 | 2339 | 29 / 9999 | Online or by arrangement |
Resources
Around the web
Found by uwloo’s link finder, which checks that each page names AMATH 331.
- this Course notes · math.uwaterloo.ca · posted on r/uwaterloo Aug 2017 · gone now; archived copy from Jan 2011 Remove
Reviewed on UW Flow
64% liked it25% easy54% useful
From 14 ratings and 3 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.
Straightforward and pretty interesting course :D Taken with Prof Shum, very fair assessments and lectures were easy to follow.
Apr 2025 · liked itOn UW FlowRemove this
This course may be not that useful for FARM students.
Mar 2023 · liked itOn UW FlowRemove this
Most of the time, I cannot understand what the professor was talking about. This course is not easy, some concepts were pretty abstract and students will be tested about the definitions/theorems. However, Andrew Staal is really nice and he gave us easy midterm/final. Got 91 last semester.
Jan 2023 · liked itOn UW FlowRemove this
Discussed on r/uwaterloo
56 posts and comments in 47 threads mention AMATH 331, December 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.
Winter 2024
AMATH 331, AMATH 343, PMATH 334 Workload Inquiry 1 point, 0 comments
u/sharkleaf70: “I’m planning on taking these three courses alongside 2 electives in Fall 2024. I’d like to please ask for people’s opinions/experiences in these courses (: I was also curious about what the workload would look like, so I’d love input on that, too”
Fall 2023
Easiest 300-400 Math Course? 1 point, 4 comments
“Better if I can take it online. Math course includes ACTSC, AMATH, CO, CS, MATBUS, MATH, PMATH, and STAT.”
u/Kassaking777: “… CO487 if you have time reading the course note (no need to know how to prove and how to compute for final except for some easy techs) PMATH331/AMATH331 should be easy if you did MATH247 before()”
Fall 2022
Need insight on these courses 3 points, 1 comment
u/yesilovegeese1: “… - STAT 334 - AMATH 331 - CO 372 - STAT 340 - CS 335 Thanks in advance!”
Spring 2022
Worst Professors 5 points, 32 comments
u/void_nemesis: “Xinzhi Liu. Had him for AMATH 351, absolutely awful. Also Stephen New, but only when online - everyone I've talked to says he's great in person, but his online PMATH courses were really badly taught. …”
u/v1v2v3vv55: “… Had Stephen for AMATH 331 online, it is as bad as Liu. I got 80s just because I have one of TAs as my friend, his text was as awful as Liu, he does answer piazza more than Liu, but he won’t answer it seriously. …”
Winter 2022
Why I want to graduate... 1 point, 9 comments
“I'll be graduating soon and I'm really looking forward to telling people that I graduated from one of Canada's top business schools with really good grades.”
u/Beautiful-Carpet-536: “Lol, I wanna graduate as well… btw amath331 said no you can’t”
Is AMATH 331 heavily based on proof? 3 points, 2 comments
u/Veraaa22: “I'm planning to take AMATH 331 this term with Henry Shum, but I'm not a person who is good at proof, so should I take this course or not?”
u/79037662: “Yes it is. Shum is a good professor and I enjoyed his AMATH 331 when I took it, but yes there will be many proofs involved.”
Fall 2021
Amath 331 tutor? 1 point, 0 comments
Fall 2020
Was there a class in UW that you took and you were sad that it was over? 11 points, 35 comments
u/OneFee: “PMATH/AMATH 331 with Blake Madill. Inspired to take PMATH 333 and 351 after that class.”
How difficult is CS335? 2 points, 2 comments
u/neveragain1007: “I’m taking cs335, co372, amath350, amath331 and actsc446. This is my third consecutive semester and I’m feeling kinda burnt out. I’m considering dropping cs335, amath331 or actsc 446. Can anyone share their experience with these courses? Also, the add deadline was on the 21st. …”
Spring 2020
Had anyone take AMATH331 before? 5 points, 7 comments
u/jyldxw: “Mandatory for me and I might want to take it in fall. Checked uwflow and only 25% said it was easy. What contents are included? How diffcult is it?”
I was asking a graduate about the FARM program and this happened 61 points, 10 comments
[deleted]: “then why does FARM take their own version of real analysis instead of PMATH 351 lmao”
[deleted]: “https://ugradcalendar.uwaterloo.ca/page/MATH-Math-or-Fin-Analysis-Risk-Mgt-Degree-Reqmnt If you choose "Professional Risk Management Specialization" then you have to take AMATH 331/PMATH 331 Applied Real Analysis.”
Mathematical economics 2 points, 12 comments
“I would like to get in touch with a student who is currently pursuing mathematical economics as his/her major. I have a lot of queries and need help.”
u/linspanins: “I'm in mathematical Econ (in the math faculty) message me any questions!”
u/linspanins: “… For courses specific to math econ, I think the only course that is majority proofs is AMATH 331. Other courses will have proofs too, but they won't be a main focus of the class. …”
Check it elsewhere for Fall 2026
- Undergraduate Calendar, 2026–27The official entry
- Requirements for Fall 2026Waterloo’s requisite checker
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- Course outlinesSyllabi from past terms (UW login)
- UW FlowStudent ratings and reviews
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