uwloo

AMATH 731Applied Functional Analysis

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Applied Mathematics

When it runs

  1. F24
  2. W25
  3. S25
  4. F25
  5. W26
  6. S26
  7. F26
  8. W27
  9. S27

Ran in 3 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.

Basic concepts of functional analysis. Topics include: theory of linear operators, nonlinear operators and the Frechet derivative, fixed point theorems, approximate solution of operator equations, Hilbert space, spectral theory. Applications from various areas will be used to motivate and illustrate the theory. A previous undergraduate course in real analysis is strongly recommended.

Prerequisites

None listed.

Antirequisites

None listed.

Leads to

No course lists it as a requisite.

Fall 2026 sections

Enrolment from UW Open Data, which can trail Quest by up to two days. Instructors and rooms: Schedule of Classes.
SectionClassEnrolledMeets
LEC 00160598 / 25TTh 16:00–17:20

Reviewed on UW Flow

67% liked it42% easy50% useful

From 3 ratings and 2 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • A lot of review of you have done pmath351.
    Even more review if you have done pmath453.

    Dec 2025 · liked itOn UW FlowRemove this

  • Can be very challenging if you don't have a solid background. Linear Algebra + Calculus + Real Analysis are used heavily, and there are even some ideas from variational calculus. Assignments are also tough but rewarding once you figure out how to approach them.

    Jan 2021 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

6 posts and comments in 5 threads mention AMATH 731, August 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 2018

AMATH 731 Final Exam 0 points, 0 comments

u/mister_timu: “Anyone have any insight on the AMATH 731 final exam? <Offered by Professor Vrscay> \-Is solving the all required HW questions enough to be prepared? \-Does content from his 'extra notes' appear on the exam?”

View on RedditRemove this

Fall 2017

PSA: UWCourseLinker back up, disabled by default, call with [[course code]] 39 points, 31 comments

u/RayDWatson: “Testing all course codes 1/61: [[ACC604]] [[ACC605]] [[ACC606]] [[ACC607]] [[ACC608]] [[ACC609]] [[ACC610]] [[ACC611]] [[ACC620]] [[ACC621]] [[ACC622]] [[ACC623]] [[ACC624]] [[ACC625]] [[ACC626]] …”

u/RayDWatson: “Testing all course codes 3/61: [[AMATH731]] [[AMATH732]] [[AMATH740]] [[AMATH741]] [[AMATH751]] [[AMATH753]] [[AMATH777]] [[AMATH851]] [[AMATH855]] [[AMATH863]] [[AMATH867]] [[AMATH871]] [[AMATH872]] [[AMATH873]] [[AMATH874]] [[AMATH875]] [[AMATH876]] [[AMATH877]] [[AMATH881]] …”

u/UWCourseLinker: “AMATH 731 - Applied Functional Analysis AMATH 732 - Asymptotic Analysis and Perturbation Theory AMATH 740 - Numerical Analysis AMATH 741 - Numerical Solution of Partial Differential Equations AMATH 751 - Advanced Ordinary Differential Equations AMATH 753 - Advanced Partial …”

View on RedditRemove this

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: “… AMATH 391 AMATH 442 AMATH 453 AMATH 456 AMATH 463 AMATH 473 AMATH 495 AMATH 663 AMATH 673 AMATH 731 AMATH 732 AMATH 740 AMATH 751 AMATH 871 AMATH 875 AMATH 900 ANTH 100 ANTH 100W ANTH 201 ANTH 202 ANTH 204 ANTH 222 ANTH 241 ANTH 300 ANTH 321 ANTH 355 ANTH 382 ANTH 391 ANTH 440 …”

View on RedditRemove this

Spring 2016

Spring 2012

Check it elsewhere for Fall 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 42 terms, Fall 2006 to Winter 2024