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AMATH 333Calculus on Manifolds for Applied Mathematics and Physics

Units
0.50
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.

Manifolds and tensors, Lie derivatives and Lie groups, differential forms and applications to physics. This course covers the basic concepts of differential geometry from the perspective of its applications to physics. The course focuses on the concepts and the techniques that allow us to formulate physical problems in the powerful language of differential geometry including thermodynamics, classical mechanics, fluid dynamics, and relativity.

Prerequisites

  • Complete all of the following
    • Must have completed at least 1 of the following:
    • Must have completed at least 1 of the following:
      • MATH114 - Linear Algebra for Science (0.50)
      • MATH136 - Linear Algebra 1 for Honours Mathematics (0.50)
      • MATH146 - Linear Algebra 1 (Advanced Level) (0.50)

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 001660647 / 50MW 13:00–14:20
TUT 101885347 / 50Th 13:30–14:20

Reviewed on UW Flow

100% liked it38% easy100% useful

From 3 ratings and 1 comment on UW Flow. The most helpful comments, quoted as written, without names. Read them all on UW Flow.

  • was taught by Professor Christopher Pollack, he is the goat. really explained eveyrthing great and intuitively.

    Nov 2025 · liked itOn UW FlowRemove this

Discussed on r/uwaterloo

3 posts and comments in 2 threads mention AMATH 333, October 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

How is AMATH 333? 4 points, 4 comments

u/Personal-Werewolf-26: “I believe this is relatively new course that was first offered last fall, and I plan on taking it in September. As someone who enjoys mechanics and geometry, and vector calc (AMATH 271/AMATH 231) I'd say this is seems to be something I would enjoy, though some topics include …”

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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: “… [[AMATH251]] [[AMATH261]] [[AMATH271]] [[AMATH310]] [[AMATH331]] [[AMATH332]] [[AMATH333]] [[AMATH342]] [[AMATH343]] [[AMATH350]] [[AMATH351]] [[AMATH353]] [[AMATH361]] [[AMATH373]] [[AMATH382]] [[AMATH383]] [[AMATH390]] [[AMATH391]] [[AMATH431]] [[AMATH432]] [[AMATH433]] …”

u/UWCourseLinker: “… Informatics AMATH 331 - Applied Real Analysis AMATH 332 - Applied Complex Analysis AMATH 333 - Elementary Differential Geometry AMATH 342 - Computational Methods for Differential Equations AMATH 343 - Discrete Models in Applied Mathematics AMATH 350 - Differential Equations for …”

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Check it elsewhere for Fall 2026

Calendar versions

Undergraduate Calendar