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PMATH 332Applied Complex Analysis

Units
0.50
Faculty
Mathematics
Subject
Pure Mathematics
Cross-listed
AMATH 332

When it runs

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

Ran in 4 of the last 7 terms. Winter 2027: scheduled, 2 lecture sections. Spring 2027: schedule not out yet.

Complex numbers, Cauchy-Riemann equations, analytic functions, conformal maps and applications to the solution of Laplace's equation, contour integrals, Cauchy integral formula, Taylor and Laurent expansions, residue calculus and applications.

Prerequisites

  • Must have completed at least 1 of the following:
    • MATH237 - Calculus 3 for Honours Mathematics (0.50)
    • MATH247 - Calculus 3 (Advanced Level) (0.50)

Antirequisites

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

Leads to

Winter 2027 sections

Enrolment from UW Open Data, which can trail Quest by up to two days. Instructors and rooms: Schedule of Classes.
SectionClassEnrolledMeets
LEC 00159610 / 30MWF 13:30–14:20
LEC 70123348 / 9999Online or by arrangement

Resources

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Reviewed on UW Flow

81% liked it48% easy86% useful

From 16 ratings and 5 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • Essentially the "complex extension" of everything we learned in MATH 137/138. Very interesting course that sometimes requires a good sense of intuition and visualization.

    Sep 2024 · liked itOn UW FlowRemove this

  • I was expecting a more proof heavy course, but honestly the examples given and the course structure made it way more fun than it would've been had it been just proofs. It helped that Prof. West is great too! For most this will probably be the first introduction to complex numbers, and it gives you just enough of the juicy theorems to keep you interested. The applications to real integrals and Dirichlet problems are super cool too. Weekly quizzes were light as long as you did the practice problems, though the midterm and final were considerably harder. Great class though, made me interested in taking PMATH 352 just to learn more!

    Aug 2022 · liked itOn UW FlowRemove this

  • Good course. Good mix of computation and proof for a course that is cross listed with AMATH. Applications toward the end of the course were pretty neat.

    Aug 2018 · liked itOn UW FlowRemove this

  • Lots of calculation. It's like calculus with complex numbers. If you want to learn it well I'd suggest taking the theoretical version. But even just learning some theorems and seeing them applied to physics felt somewhat useful

    Dec 2017 · didn’t like itOn UW FlowRemove this

  • One of my favourite classes of all time. Super cool material, and not too difficult.

    Mar 2013 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

39 posts and comments in 37 threads mention PMATH 332, 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 2024

Fall 2023

Spring 2023

2B course selection thoughts? 3 points, 6 comments

“2B BMATH CS (Want to do a math minor, prolly stats) Which option would you guys recommend for manageable workload but to also take upper year AI courses sooner? …”

u/KrispyPopcorn: “If you want to get your grades up then why slot in so many tough courses together? Add some birds and moderate courses instead?”

u/ReportSensitive6087: “That’s a good point. I wanted to take all the CS courses + MATH239 so I can take CS341/350 In 3A and either STAT231 so I could take CS486 in 3B or MATH237 so I could take PMATH331/332 in 3A/B.”

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Winter 2023

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 2021

Winter 2021

Winter 2020

Check it elsewhere for Fall 2026

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