MATH 361(b) Mechanics
- Faculty
- Mathematics
- Last listed
- 1974–75
No longer offered. It’s in Waterloo’s scanned calendars from 1973–74 to 1974–75 (before that, 1968–69 to 1972–73 used the number for (a) Calculus of Variations); the 1995–96 to 2023–24 calendars are on ucalendar.
Three-dimensional rigid body motion. Lagrange’s equations of motion for holonomic and non-holonomic systems. Ignorable cordinates. Hamilton’s principle for holonomic systems and its counterparts for non-holonomic systems. Noether’s theorem and conservation laws. Canonical equations of motion. Canonical transformations. Lagrange and Poisson bracket relations. Integral invariants. 2 hours lectures + 1 hour tutorial, Winter term Prerequisites: M237, M361 (a) or consent of instructor
As printed in the 1974–75 calendar, read by OCR; the scanned page is the original.
Check it elsewhere
In the scanned calendars
How it read in each calendar from 1968–69 to 1974–75, 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.
1974–75 1 calendar
Three-dimensional rigid body motion. Lagrange’s equations of motion for holonomic and non-holonomic systems. Ignorable cordinates. Hamilton’s principle for holonomic systems and its counterparts for non-holonomic systems. Noether’s theorem and conservation laws. Canonical equations of motion. Canonical transformations. Lagrange and Poisson bracket relations. Integral invariants. 2 hours lectures + 1 hour tutorial, Winter term Prerequisites: M237, M361 (a) or consent of instructor
1973–74 1 calendar
Titled (b) Mechanics , (a) Introduction to Continuum Mechanics.
Hamilton’s principle. Lagrangian and canonical equations of motion. : Relativistic mechanics. 2 hours lectures, 1 hour tutorial. Winter Term. Prerequisites: M 237, Consent of instructor.
Ordinary differential equations applied to the motion of a system of particles stability theory applied to the motion of a system of particles, applications to celestial mechanics; the stress tensor; partial differential equations in continuum mechanics; collisions between particles; from ordinary mechanics to impulsive mechanics by distribution theory; introduction to statistical mechanics. 2 hours lectures, + 1 hour tutorial. Fail.term. Prerequisites: 234, 237 or consent of instructor.
1968–69 to 1972–73 5 calendars
Another title: (a) Calculus of Variations, probably a different course under the same number (or a misread scan).
Euler-Lagrange Equations, Legendre and Jacobi condition, the E- function. Fields of extremals and sufficient conditions; Hilbert’s invariant integral. Parameter invariant single and multiple integral problems; Hamilton-Jacobi theory. Introduction to optimal control problems; introduction to direct methods and partial differential equations. 2 hours lectures, Fall term.