uwloo

AM 456Calculus of Variations

Offered
Fall
Credit
0.5
Last listed
1994–95

No longer offered. It’s in Waterloo’s scanned calendars from 1989–90 to 1994–95; 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. Formerly AM 482

As printed in the 1989–90 to 1994–95 calendars, read by OCR; the scanned page is the original. Later calendars (1995–96 on) aren’t on uwloo.

Requirements, as last listed

Prereq: AM 231 or MATH 230B, or consent of instructor

Check it elsewhere

In the scanned calendars

How it read in each calendar from 1989–90 to 1994–95, 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.

1989–90 to 1994–95 6 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.

Formerly AM 482

Prereq: AM 231 or MATH 230B, or consent of instructor

Offered Fall · 3 class hours a week · 0.5 credit