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PMATH 336Introduction to Group Theory with Applications

Units
0.50
Faculty
Mathematics
Subject
Pure Mathematics

When it runs

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

Ran in 5 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.

Groups, permutation groups, subgroups, homomorphisms, symmetry groups in two and three dimensions, direct products, Polya-Burnside enumeration.

Prerequisites

  • Must have completed at least 1 of the following:
    • MATH235 - Linear Algebra 2 for Honours Mathematics (0.50)
    • MATH245 - Linear Algebra 2 (Advanced Level) (0.50)

Antirequisites

  • Not completed nor concurrently enrolled in any of the following:

Leads to

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 001661323 / 96MWF 09:30–10:20

Resources

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Reviewed on UW Flow

91% liked it55% easy75% useful

From 34 ratings and 12 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • This is a VERY useful course for anyone looking for an introduction to Group Theory. Because the course mostly focused on applications, it was much easier to understand the content compared to an average PMATH course. Professor Willard really took care in making sure this course was informative yet as enjoyable as possible.

    Dec 2023 · liked it · 1 found this helpfulOn UW FlowRemove this

  • Loved the assignments, examples and lectures. So cool how this applies to real life.

    Jul 2026 · liked itOn UW FlowRemove this

  • Great course, really useful and covers the basics of Group Theory. I honestly found this easier than the 'baby' PMATH334 version, probably because it covers more depth and less breadth, but it could also be because spiro is goated.

    Dec 2025 · liked itOn UW FlowRemove this

  • Ty was a great prof with great course notes if you don't go to class and bonus questions on each assignment

    Jun 2025 · liked itOn UW FlowRemove this

  • A gentle introduction to group theory, easier than PMATH 347, recommended for those interested in the subject but want a less stressful course. It indeed had a lot of "applications" as the name suggests, but they mean applications to other parts of math, not to real life.

    Aug 2024 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

60 posts and comments in 51 threads mention PMATH 336, September 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.

Spring 2024

Spring 2023

Should I consider additional MATH/CO/etc courses for CS? 7 points, 4 comments

“Is CO 250, or any other non-compulsory second year and up math dept. courses, useful or practical enough that should be taken for the CS field (broad ik, unsure what area to focus on in the future)? …”

u/chonglibloodsport: “If you're interested in programming language theory, functional programming, and type theory then an abstract algebra course can be useful. PMATH 334, 336, 347, 348 are all fine choices.”

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Fall 2022

UW Math Major Declaration 4 points, 8 comments

u/No_Inspector_8321: “… &x200B; Table 1 + the following CS 371 Math 237 Math 239 CO 250 CO 342 CO 351 CO367 CO456 PMATH 336 PMATH331 PMATH332 STAT330 STAT331 STAT332 STAT333 STAT440 STAT437 STAT340 STAT442 AMATH250 MTHEL 300 CS371 CS230 CS234 AMATH250 ECON 212”

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Spring 2022

Any good PMATH course recs for physics? 6 points, 6 comments

“I'm a second-year Math-Phys student looking for some good PMATH courses that accommodate theoretical physics and its framework well (for a minor). …”

u/AirPodGoose: “PMATH 336/334/343/347/365/465 can be good courses, u don’t have a lot of options for pmath electives since you are in math phys (and assuming you take 5 courses per term) but a minor is doable with no problem.”

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Winter 2022

Fall 2021

Co 227 vs Co 250 vs Co 255 2 points, 16 comments

“I’m a CS student in the faculty of math and need to take 3 courses from CO/STAT/AMATH/ACTSC/AMATH and I was thinking of taking one of the three in the title during winter. …”

u/vkoj1221: “Not sure about 227 satisfying prerequisites but if you are really into math then 255 is much better than 250 which is probably why you saw that comment on UW Flow.”

u/harmonyIn3rdsNot4ths: “… If PMATH is an option, I can vouch for Group Theory as well (PMATH 336) being pretty fun and chill.”

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Spring 2021

Winter 2021

How to keep going? 31 points, 6 comments

“I’m exhausted, unmotivated and stressed. Good point to mention is that I do engineering and have one year left. I hate it. …”

u/xhumptyDumptyx: “… So in 4A for example I took pmath 336, which doesn't even count towards my requirements and it was pretty hard, but I enjoyed it and that kept me motivated through the term. …”

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Check it elsewhere for Fall 2026

Calendar versions

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