Classical Mechanics  

PHY 540 (Sections D and HI), Fall Semester, August 22 - December 12, 2007

Dr. Thomas Curtright

In this class we will study classical mechanics, including some novel methods which I have found to be interesting and useful in other areas of theoretical physics.

According to the course catalog, in PHY540 we should cover:  the Lagrangian formulation, rigid body dynamics, and topics selected from fluid dynamics, non-linear oscillations, normal modes, and phase plane analysis.  Well ... maybe ... but we will certainly discuss Lagrangian and Hamiltonian theory.

Lectures:
M & W 3:35-4:50, 203 Knight Physics Bldg.

Discussions or make-ups:
Either on M, W, or F at 11:15 in room 203, or else on Fridays at 3:35, as announced in class.

Office and hours:

325 Knight Physics Bldg.,  by appointment (phone: 284 - 2324 ext 4;  email:  curtright@physics.miami.edu).


Homework and graded problems:
These will be due about one or two weeks after being assigned in lecture.

Midterm exam:
either on Wednesday, 17 October, 3:30 - 5:00 pm, in the physics library, or else as a take-home (to be determined).

Final exam:
either on Wednesday, 12 December, 11:00 - 1:30 pm
, in the physics library, or else as a take-home (to be determined).

Grading policy:
Your grade will be based with equal weight on each of
  1. the complete set of graded homework problems,
  2. the midterm exam,
  3. and the final exam.
Required textbooks:
Theoretical Mechanics of Particles and Continua, A L Fetter and J D Walecka
Nonlinear Mechanics:  A Supplement to Theoretical Mechanics of Particles and Continua, A L Fetter and J D Walecka

Other recommended material:
My notes, and the following supplemental textbooks.
Foundations of Mechanics,  R Abraham and J E Marsden
Newton's Principia for the Common Reader, S. Chandrasekhar
Classical Mechanics, H Goldstein, C P Poole, and J L Safko
Classical Dynamics:  A Contemporary Approach, Jorge V. José and Eugene J. Saletan
Mechanics, L D Landau and E M Lifschitz
Dr Nearing has several useful links on his PHY340 website.  That course, or its equivalent, is a prerequisite for PHY540.


More advanced material (but free on-line!):
Chaos - classical and quantum, P Cvitanović, et al.

Useful internet software sites:
(1)  Maple
(2)  Mathematica  (see especially the free information on the MathWorld and Functions pages)
(3)  Scientific WorkPlace  (free 30 day trial version!)