Calculus of Variations
UBC Math 402 — Winter 2026
MWF 15:00–15:50, room MATH 225
Professor Philip D. Loewen

All the materials for this term's instance of MATH 402 are served through UBC's Canvas Learning Management System.

Our discussion page on Piazza can be accessed directly, or through a link on the course's Canvas page.

Resources

Documents and Links, in reverse chronological order
First Post Date Description Latest Update
2026-02-13

Convexity and Sufficiency
Here are the Professor's notes on Convexity and Sufficiency (PDF). They go well beyond the highlights shown in class, and there will be more to come as the development proceeds.

2026-02-13
2026-02-11

Assignment 5

2026-02-11
2026-02-02

Lagrange Multipliers
Here are the Professor's notes on Lagrange Multipliers (PDF). The highlights were shown in class, but there are some further details in here. The version of this writeup posted on 2026-02-11 is semi-stable: there will be no big changes to the content after this date, but corrections will be made if necessary. Please report any typos or confusing parts you encounter.

2026-02-11
2026-01-30

Assignment 4

2026-01-30
2026-01-23

Assignment 3

2026-01-23
2026-01-16

Assignment 2

2026-01-16
2026-01-09

Assignment 1

2026-01-09
2026-01-09

Quadratic Integrands
Here are the Professor's notes on Quadratic Integrands (PDF). The highlights were shown in class, but there are some further details in here.

2026-01-13
2026-01-07

First Variations
Here are the Professor's notes on First Variations (PDF). The highlights were shown in class, but there are some further details in here. The version dated 2026-01-30 is semi-final. Changes after this date will be limited to editorial improvements, not adjustments to the content.

2026-01-23

Last update: 13 Feb 2026 (Fri), 16:18:46. Valid HTML 5! Valid CSS! (Click a graphic to recheck.)