uwloo

PMATH 351Real Analysis

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: scheduled, 2 lecture sections. Spring 2027: schedule not out yet.

Cardinality, countable and uncountable sets, normed spaces and metric spaces, open sets, continuous mappings, finite-dimensional normed spaces, sequence and function spaces, completeness, contraction mappings and the Banach fixed-point theorem, the Baire category theorem, compactness of metric spaces, the Arzela-Ascoli theorem, and the Stone-Weierstrass theorem.

Prerequisites

  • Must have completed at least 1 of the following:
    • MATH247 - Calculus 3 (Advanced Level) (0.50)
    • PMATH333 - Introduction to Real Analysis (0.50)

Antirequisites

None listed.

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 00160600 / 96MWF 11:30–12:20
LEC 701236950 / 9999Online or by arrangement

Resources

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Reviewed on UW Flow

96% liked it44% easy93% useful

From 82 ratings and 32 comments on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • One of the most awesome courses ever!

    Dec 2012 · liked it · 2 found this helpfulOn UW FlowRemove this

  • Great course! Tons of interesting material. Assignments were very fun to do.

    Jun 2018 · liked it · 1 found this helpfulOn UW FlowRemove this

  • Lots of metric topology, some random bits of general (point-set) topology. Significant overlap with 247. A large amount of topics were covered, so depth was sacrificed a bit (eg not very many examples)

    Jan 2017 · liked it · 1 found this helpfulOn UW FlowRemove this

  • fun course. first half of the course extends some concepts from 333/247 into general topological and metric spaces. second half covers some cool results for specific metric spaces

    Jul 2026 · liked itOn UW FlowRemove this

  • Great course. Definitely take it if Blake is teaching it.

    Jul 2026 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

354 posts and comments in 279 threads mention PMATH 351, October 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.

Fall 2024

Mathematical Finance 7 points, 5 comments

“I’m a 2B student in Math/FARM, but the courses in Mathematical Finance look way more interesting to me. I know Mathematical Finance is hard, and I don’t have the best grades. …”

u/Outside_Buddy6449: “Did you take the advanced math courses in first/second-year? Those might be the best indicators to your success in math finance. …”

u/Outside_Buddy6449: “… I would suggest trying some of the harder math finance courses to see if those types of courses are for you (STAT 333 and PMATH 333/351 for example), since they are very different from first/second year math courses. …”

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spicy piazza drama - CO250 60 points, 13 comments

u/batson2002: “it’s not really common to provide solutions let alone practice finals for basically all upper year courses, obviously coming off of first year where you have so much provided for you into a course …”

u/zorates17: “… Marcoux, PMATH351. Though I recognize that an anecdote isn't data. …”

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PMATH 333 HELP!!!!!!! 4 points, 3 comments

“ok so i feel sick to my stomach knowing that my pmath 333 final is in about two weeks and i still don’t know how to study for this fucking course. …”

u/djao: “PMATH 333 is a gateway to "advanced" math courses like PMATH 351 -- the only other pathway to satisfying the PMATH 351 prerequisites is to take MATH 247, which is an advanced class. As such, it's not just a run of the mill math course. …”

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Spring 2024

Math 147 2 points, 3 comments

“Heyyy I’m an incoming math student this fall. I’ve been scared out of taking 135 but really like the mathfin major which recommends taking math 147 during my first year. …”

u/Worgen660: “… The reason for this is because Mathematical Finance requires you to take PMATH351, which is real analysis. Now, to do PMATH351, you can either take MATH247 (Calc 3 Advanced), or you can take MATH 237 (Calc 3) and PMATH333 (Introduction to Real Analysis). …”

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Winter 2024

Check it elsewhere for Fall 2026

Calendar versions

Undergraduate Calendar