PMATH 753Functional Analysis
- Units
- 0.50
- Level
- Graduate
- Faculty
- Mathematics
- Subject
- Pure Mathematics
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 3 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.
Banach and Hilbert spaces, bounded linear maps, Hahn-Banach theorem, open mapping theorem, closed graph theorem, topologies, nets, Hausdorff spaces, dual spaces, weak topologies, Tychonoff's theorem, Banach-Alaoglu theorem, reflexive spaces.
Prerequisites
None listed.
Antirequisites
- Not completed nor concurrently enrolled in:
Leads to
No course lists it as a requisite.
Fall 2026 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 6203 | 4 / 15 | TTh 10:00–11:20 |
Reviewed on UW Flow
100% liked it0% easy100% useful
From 2 ratings and 1 comment on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.
Easiest course in course calendar. Highly recommended. You don't have to go to any lectures, and you can google all the answers, and the exam is all from the course note!
Nov 2012 · liked itOn UW FlowRemove this
Discussed on r/uwaterloo
9 posts and comments in 8 threads mention PMATH 753, October 2012 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 2017
Best PMATH courses? 2 points, 4 comments
“After groups, rings, fields, real/complex analysis, algebraic/analytic number theory what's cool?”
u/SchitLipz: “PMATH 753 best course”
Any way to disable UWCourseLinker from posting? 16 points, 26 comments
“posting a reply to my comment I find the bot annoying.”
u/Jackhofmann: “PSYCH 483 PSYCH 484 PSYCH 485 PSYCH 486 PSYCH 490R PSYCH 499A PSYCH 499B PSYCH 499C PSYCH 621 PSYCH 630 PSYCH 677A PSYCH 704A PSYCH 704B PSYCH 707 PSYCH 710 PSYCH 714 PSYCH 717 PSYCH 720A PSYCH 721A …”
u/Jackhofmann: “… PMATH 445 PMATH 451 PMATH 453 PMATH 465 PMATH 499 PMATH 651 PMATH 665 PMATH 740 PMATH 745 PMATH 753 PMATH 930 PMATH 940 PMATH 950 PMATH 990 PORT 101 PS 611 PS 614 PS 621 PS 624 PS 625 PSCI 100 PSCI 231 PSCI 252 PSCI 255 PSCI 257 PSCI 263W PSCI 282 PSCI 299 PSCI 324 PSCI 331 PSCI …”
Winter 2017
Rank the courses you've taken from hardest to easiest 20 points, 43 comments
“I'm curious”
u/maaaath: “uhhhh I'm just gonna randomly pick ones I remember or I'll be here for a while PMATH 753 > CO 471 > PMATH 763 > PMATH 451 > CO 442 > CO 255 >>>> CS xyz”
u/SchitLipz: “It's cool I've taken 5 of the 6 courses here and audited the one I haven't taken but my ranking would be different from yours: PMATH 763 > PMATH 753 > CO 442 > CO 471 > CO 255 > PMATH 451”
Spring 2016
How was PMATH 753 with Prof. Davidson? 2 points, 5 comments
u/DankMrGoose: “How difficult were the assignments? Were you given practice problems for the final exam?”
[Discussion] What courses are you taking next semester? 4 points, 32 comments
u/Huex3: “… PMATH753 is inaccessible unfortunately (or fortunately) unless I replace STAT443 it with something like STAT974, or if I take AMATH731.”
Winter 2016
Hardest and easiest course(Math) 6 points, 41 comments
“What course did you find the hardest and easiest out of all the courses you've taken in Waterloo math?”
u/maaaath: “Easiest: CS 251 Easiest Non-CS: CO 342 Hardest: PMATH 753”
Spring 2015
CS/math graduate-level courses 3 points, 7 comments
“I'm starting a CS master's program in September, and I'm trying to figure out which courses to register in. I asked my supervisor, and the only one he suggested I take is offered in the winter term. …”
u/maaaath: “… there are a number of interesting courses in pure math; in particular, functional analysis (PMATH 753) is running in the fall. A random interesting course that runs in the fall is quantum information processing (QIC 710, cross-listed as CS 768). …”
Fall 2012
Hi UW, I need help choosing a math elective! 5 points, 12 comments
“I have been saving my electives up and now I intend to use them. All suggestions will be considered and they don't have to be bird courses (but not super hard either!). …”
u/1337ness: “pmath 753”
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