This is a tentative schedule of what we will cover in the course. It is subject to change, often without advance notice. These will occur in response to the speed with which we cover material, individual class interests, and possible changes in the topics covered.

	Date	Topic	Pages
L1	9/2	Particle Dynamics; FTWU(r); PL; cm;	1-8
L2	9/8	Systems of particles; Constraints, Generalized coordinates; Mass Matrix; Phase Space; Dynamical Systems;	8-20
H1	9/9	Homework Assignment # 1 (1.1, 1.2)
L3	9/9	phase curves and flows; fixed points, invariant sets; stablility; Types of fixed points; seperatrix; Lagrangian	20-36
L4	9/13	Constraints; D'Alembert; Lagrange's equations; Hamilton's Principle and Action	36-44
H2	9/16	Homework Assignment # 2 (1.4, ~1.5 )
L5	9/16	Variational calculus; Ignorable coords, conserved quantities; Hamilton's Equations; Velocity-dependent forces.	45-53
L6	9/20	2-body central forces; Kepler problem; aeLET	54-67
L7	9/23	Nearly circular orbits; closed orbits; Runge-Lenz;Virial Theorem	67-73
H3	9/23	Homework Assignment # 3 to view to print
L8	9/27	Rutherford scattering; Rainbow, glory. Config space for rigid body	74-80
L9	9/30	Groups Rotating kinematics, , Coriolus	83-95
H4	9/30	Homework Assignment # 4
L10	10/4	inertia tensor; LT of cm and about cm. \parallel and \perp axis theorems; Principal Axes; tire balancing	95-104
L11	10/7	Euler's equations. Axisymmetric free body; General free rigid body; Poinsot	104-113
H4	10/7	Homework Assignment # 5
L12	10/11	Euler angles; Relation to \vec\omega; Symmetric top. Small displacements from stable equilibrium	113-124
L13	10/14	Diagonalization procedure; normal modes; molecules	125-132
H6	10/14	Homework Assignment #6
L14	10/18	using fourier trans; Other L's. Loaded and thick strings.	132-136 +
L15	10/21	Field Theory; Three dimensional continua - solids; Equations of Motion	136-142
H7	10/21	Homework Assignment #7
Exam	10/25	Midterm Exam, Sections 1.1 - 5.3
L16	10/28	Fluids. Legendre transforms, 1-forms,	145-154
L17	11/1	complex structure; variations on phase curves; Canonical transformations,	155-159
L18	11/4	Poisson brackets; Jacobi identity; Poisson and Liouville Theorems;	159-166
H8	11/4	Homework Assignment #8
L19	11/8	Higher Differential Forms; Exterior derivative	166-174
L20	11/11	covariance, symplectic form on phase space, d\omega_3 in extended p.s.	175-180
H9	11/11	Homework Assignment #0
L21	11/15	Generating Functions; Canonical Transformations, active and passive;	180-186
L22	11/18	Hamilton Jacobi theory, action-angle vars;	186-195
H10	11/18	Homework Assignment #10
L23	11/29	Integrable systems, example invariant torii;	195-200 (201-206)
L24	12/2	canonical pert. theory; time-dependent pert. theory;	(206-213)
H11	12/2	Homework Assignment #11
L25	12/6	Adiabatic variation;	(214-226)
L26	12/9	Field Theory, Special Relativity	(233-246)
H12	12/9	Homework Assignment #12
L27	12/13	Klein-Gordon, Maxwell Theory	(254-260)
Exam	12/21	Final exam, 1:00-5:00 PM, SEC 207 (not ARC!)

Note: Page numbers changed after inserts in November. New pages in (). We should cover all of my book except pages 218-225 (224-231) and, sadly, 240-247 (246-253).

Supplementary Notes

• Notes on totally antisymmetric tensors, or Levi-Civita symbols, ε_μνρ..., in 3-D Euclidean space: (view), (print), and in higher dimensional Euclidean or Minkowski space: (view), (print), including their use with matrices and determinants. The Levi-Civita symbol is also essential in curved spaces, but that is for another course.
  Also, on ε and determinants, "Properties of Determinants": (view), (print)
• On Indices and Arguments: (view), (print). Some cautionary notes on how indices are used and how to avoid making nonsense when evaluating expressions with dummy indices.
• On shortest path with general metric: (view), (print).