Classical Mechanics 29:205
Classical Mechanics
29:205
Fall 2013
Class Information
 Room: 618, Van Allen Hall
 Time: 9:30AM  10:45AM
 Days: Tuesday, Thursday
 Texts:
Mechanics,
L. D. Landau and E. M. Lifshitz,
Lectures on Quantum Mechanics, Paul A. M. Dirac
Lecture Notes.
Instructor Information
 Instructor: Wayne Polyzou
 Office: 306 Van Allen Hall
 Office Hours: Tuesday, Thursday 10:4512:00
 email: polyzou@uiowa.edu
 Phone: 3193351856
 Grader: Bai, Weidong
 Grader office: 213 Van
 Grader phone:3350683
 Grader email:weidongbai@uiowa.edu
Grading Policy
Possible final grades are A+,A,B,C,D,F. The grade of A+ is for
performance that is a full grade above an A. Grades are based on
homework scores (20%), mid term exam score (35%), and the final exam
(45%). Homework assignments will appear on the web version of this
syllabus (http://www.physics.uiowa.edu/~wpolyzou/phys205/). Homework
solutions will be posted on links to the electronic syllabus.
The midterm exam will be given after we complete the discussion of
Lagrangian mechanics.
General Information
My goal is to cover the following topics in roughly the order:
 Newton's laws (Newtonian determinacy, inertial coordinate systems,
inertial mass, noninertial coordinate systems, gravity)
 Galilean relativity (Galilean group, constraints on interactions,
free particles, special relativity)
 Lagrangian dynamics (virtual work, constraints, generalized coordinates
conservative forces)
 Variational calculus (principle of stationary action,
other applications, second variation)
 Conservation laws and Noether's theorem
 Lagrange multipliers and constraints (forces of constraint,
second variation)
 Oscillators (coupled oscillators, normal modes, driven oscillators,
resonance, parametric oscillations)
 Rigid body motion (fundamental theorem on rigid body motion,
inertia tensor, Euler equations, Euler angles, Cayley Klein parameters (SU(2)),
dynamics, rotating coordinate systems.
 Hamiltonian dynamics (convexity and Legendre transformations,
Hamilton's equations, symplectic eigenvalue theorem, canonical transformations,
Poisson brackets, canonical quantization, symplectic invariants,
scattering, integrable systems, Liouville's theorem,
Poincare recurrence theorem)
 Generalized Hamiltonian dynamics (first and second class constraints,
gauge transformations)
 The classical three body problem,
perturbation theory (Small denominators, KAM theorem)
The material will follow my lecture notes. Most, but not all of
this material appears in the text "Mechanics".
Dirac's book is not really about quantum mechanics. It
is about how to make a Hamiltonian formulation of mechanics when the
Legendre transformation that connects the Lagrangian and Hamiltonian
formulation of mechanics is singular. While this sounds academic, All
of the fundamental interactions in physics (gauge theories) fall into
this class.
Homework Assignments and Calendar
 Week 3
 Tuesday, September 10  Out of Town  Class will me made up
 Thursday, September 12  Out of town  this class will be made up.
 Week 4
 Tuesday, September 17

Lecture 5

Homework #3 : due 9/24 (note error in due date)
 Reading:
 Wednesday, September 18  make up class  5:35 in room 309.

Lecture 6
 Thursday, September 19

Lecture 7
 Week 5
 Tuesday, September 24
 Today's office hours moved 1:002:00.

Lecture 8
 Reading: Ch 5 Text

Homework #4 : due 10/1
 Wednesday, September 25 (make up class  5:356:50  309 Van)

Lecture 9
 Thursday, September 26

Lecture 10
 Week 7
 Tuesday, October 8

Lecture 13
 Reading: Sec. 27 of text

Homework #6 : due 10/17 (delayed because of late assignment).
 Thursday, October 10

Lecture 14
 Week 9
 Tuesday, October 22

Lecture 17
 Reading: Chapter 6
 Thursday, October 24  out of town  class will be made up
homework201310.pdf
 Final Exam

practice exam
 Tuesday, December 17, 3:005:00, 618 Van
College Information
College Information