uwloo

PMATH 320Euclidean Geometry

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 1 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.

Euclid's axioms, triangle centres, conic sections, compass-and-straightedge constructions, isometries of the Euclidean plane and of Euclidean space, regular and star-shaped polygons, tessellations of the Euclidean plane, regular and quasi-regular polyhedra, symmetries of polygons and polyhedra, four-dimensional polytopes, sphere packings, and the kissing problem. Applications.

Prerequisites

  • Complete all of the following
    • Must have completed at least 1 of the following:
      • MATH106 - Applied Linear Algebra 1 (0.50)
      • MATH114 - Linear Algebra for Science (0.50)
      • MATH115 - Linear Algebra for Engineering (0.50)
      • MATH136 - Linear Algebra 1 for Honours Mathematics (0.50)
      • MATH146 - Linear Algebra 1 (Advanced Level) (0.50)
      • MATH215 - Linear Algebra for Engineering (0.50)
      • NE112 - Linear Algebra for Nanotechnology Engineers (0.50)
    • Complete 1 of the following
      • Must have completed at least 1 of the following:
        • MATH104 - Introductory Calculus for Arts and Social Science (0.50)
        • MATH116 - Calculus 1 for Engineering (0.50)
        • MATH117 - Calculus 1 for Engineering (0.50)
        • MATH124 - Calculus and Vector Algebra for Kinesiology (0.50)
        • MATH127 - Calculus 1 for the Sciences (0.50)
        • MATH137 - Calculus 1 for Honours Mathematics (0.50)
        • MATH147 - Calculus 1 (Advanced Level) (0.50)
      • Must have completed the following:

Antirequisites

None listed.

Leads to

No course lists it as a requisite.

Reviewed on UW Flow

100% liked it67% easy71% useful

From 7 ratings and 3 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • Love this course! Love this prof!
    Since this is such a "useless" course if you are looking for a job, I feel like everyone sitting in the classroom has a passion for geography. Amazing vibe in the lectures.

    Sep 2026 · liked itOn UW FlowRemove this

  • very chill course: a brief survey of different parts of geometry from euclid and constructions to polytopes. took with Amanda Petcu and she was great.

    Aug 2024 · liked itOn UW FlowRemove this

  • Really interesting course. Highly recommended (even for students not in pure math).

    Aug 2020 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

29 posts and comments in 22 threads mention PMATH 320, February 2017 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

Fall 2021

Easy upper year courses 3 points, 13 comments

“I'm looking for 300 and 400 math courses that aren't too heavy on math and somewhat on the easier side. Do y'all know what courses are good for that? Thank you!!!”

u/flurrydingding: “I've taken PMATH 330 and 340 and they're quite light. Also PMATH 320/321 seem to be non-specialist but are only offered in Spring terms.”

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Is this a heavy course load? 135 points, 16 comments

u/jake_7m: “CS 245 MATH 138 MATH 136 CS 246 CS 251 PMATH 320 PMATH 321 CS 240 CS 241 CS 246E MATH 145 MATH 147 STAT 231 STAT 230 PHYS 121 ECON 101 ECON 102 ECON 201 AMATH 231 + PD1 PD11 PD2 PD7 PD12 Really need someones advice cause I think I may ne overextended myself here”

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Spring 2021

Doing poorly in PMATH 321, but not sure if I should drop it? Advice? 13 points, 5 comments

“We only get course notes, exercises, and solutions posted on Learn to self study off of. There are office hours and Piazza to ask questions, but I'm kind of unimpressed at how the professor isn't …”

u/valleytingz: “… This course (along with PMATH 320) usually have different profs every offering, so the course is heavily prof-dependent. The next offering is likely to be completely different, which is something to keep in mind. …”

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Math/CS Courses with no Final 1 point, 1 comment

u/kxxstlx: “Out of the following courses, if anyone has taken these and knows the grade breakdown/difficulty/workload I would greatly appreciate it. Trying to take courses with no final. STAT221, CS370, CS 338, AMATH343, PMATH320/330, CO327”

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Winter 2021

PMATH 321/330/340? 2 points, 2 comments

“How are the workloads and assignments for these courses? I’m thinking about taking one of them during coop next term but I’m not sure which one. Thank you!!”

u/yet_another_lemma: “PMATH 320 is good with benoit edit: whoops misread, it's not being offered next term. 321 should also be fine though”

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Fall 2020

i have two interviews in the next 12 hours 462 points, 51 comments

“Oh grad school application days. Somehow I landed two interviews with top schools and I have no clue what to expect. One interview is in 45 minutes, and another is first thing tomorrow morning. …”

u/jaanuG: “Hey! I am looking to apply for grad school for pure math as well. I am going to my 3A term. So I had a few questions: 1) Did you apply to the US? If yes, when did you take the GRE? …”

[deleted]: “… Also stop by their office hours as much as possible and chat about random stuff 4) I was inspired to go into geometry by PMATH 320, and after that everything kind of clicked. …”

u/mrbanana4: “top 3 pmath profs? top 3 pmath courses? top 3 pmath nserc usras?”

[deleted]: “Top 3 profs: Satriano at 1, Karigiannis and Charbonneau in no particular order for 2,/3 Top 3 courses: PMATH 347, MATH 245, PMATH 320, in no particular order Top 3 USRAs: Greg, greg, and greg”

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Spring 2020

Pmath320 6 points, 0 comments

u/ASADLONLYBOY: “I fucked up so hard in this course so I might need a buddy to help me out. If you are in pmath320 this term and you are good at it please contact me. I can pay for tut fee just help me out please! I can send you my email if you are interested to help”

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PMATH 320 - whats going on 10 points, 9 comments

u/GaloisDuellingPistol: “Taking PMATH 320 this term and it feels like every problem requires a deeper understanding of underlying theories than is taught in the lectures. There are no class notes, just the lecture videos and we don't always state what theorems are being used/taught. …”

u/thefringthing: “In my experience (now ten years out of date) some 300- and 400-level math courses are intended only for particularly talented students, but since that's not exactly something they can put on the …”

u/GaloisDuellingPistol: “Thats fair and I think its pretty much understood for certain course offerings like PMATH and CO, however with PMATH 320 (and 321), in the course calendar ( http://www.ucalendar.uwaterloo.ca/2021/COURSE/course-PMATH.htmlPMATH320 ) they say " \[Note: This course will be of …”

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Check it elsewhere for Fall 2026

Calendar versions

Undergraduate Calendar