AM 482Calculus of Variations
- Offered
- Winter
- Credit
- 0.5
- Last listed
- 1988–89
No longer offered. It’s in Waterloo’s scanned calendars from 1978–79 to 1988–89 (before that, 1976–77 used the number for Differential Geometry); the 1995–96 to 2023–24 calendars are on ucalendar.
Euler-Lagrange equations for constrained and unconstrained single and double integral variational problems. Parameter-invariant single integrals. General variational formula. The canonical formalism. Hilbert’s independent integral. Hamilton- Jacobi equation and the Caratheodory complete figure. Fields and the Legendre and Weierstrass sufficient conditions.
As printed in the 1978–79 to 1988–89 calendars, read by OCR; the scanned page is the original.
Requirements, as last listed
Prereq: Math 230a/b, or consent of instructor.
Check it elsewhere
In the scanned calendars
How it read in each calendar from 1976–77 to 1988–89, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.
1978–79 to 1988–89 11 calendars
Euler-Lagrange equations for constrained and unconstrained single and double integral variational problems. Parameter-invariant single integrals. General variational formula. The canonical formalism. Hilbert’s independent integral. Hamilton- Jacobi equation and the Caratheodory complete figure. Fields and the Legendre and Weierstrass sufficient conditions.
Prereq: Math 230a/b, or consent of instructor.
Offered Winter · 2 class, 1 tutorial hours a week · 0.5 credit
Not in the 1977–78 calendar.
1976–77 1 calendar
Another title: Differential Geometry, probably a different course under the same number (or a misread scan).
Differentiable manifolds, tensors and forms, Connexions, Riemannian manifolds.
2 hours lectures. Two terms.
Prerequisites: M 231 and 230