Phys-507

Course description:

An advanced course in “Classical Mechanics”. Topics discussed include variational principles, Lagrange equations, the rigid body equations of motion, Hamilton’s equations, canonical transformations, Hamilton-Jacobi theory, small oscillations and normal coordinates, and continuous systems and fields.

Syllabus: click here

Instructions and guidelines

Homeworks: 1, 2, 3, 4, 5, 6, 7, 8

Interaction: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Tips in dealing with questions

Notes on Variational Calculus (1, 2, 3, 4, 5, 6, 7); the last page should be useful to solve question-3 in homework-4. The reference by Fox should also prove beneficial.

Relevant Web-sites:

Hamiltonian Mechanics:

http://scienceworld.wolfram.com/physics/topics/HamiltonianMechanics.html

Coupled Oscillators:

http://www.loncapa.org/~mmp/applist/coupled/osc2.htm

http://www.falstad.com/coupled/

Action Angle Variables:

http://panda.unm.edu/Courses/Finley/p573/perturb1.pdf

Mathematica Codes:

Rotating segment

homework problem 1 of set #3

Coupled oscillators

Double pendulum

Comments:

Something to think about: are you working hard for the course?!! J

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 last up-dated: Safar, 1435