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	9/3	Particle Dynamics; \vec F ,T, W, \tau,U(\vec r); P, L; cm;	1-8
L2	9/8	Systems of particles; Constraints, Generalized coordinates; Mass Matrix; Phase Space; Dynamical Systems;	9-21
L3	9/10	phase curves and flows; fixed points, invariant sets; stablility; Types of fixed points; seperatrix; Lagrangian	21-38
L4	9/14	Constraints; D'Alembert; Lagrange's equations; Hamilton's Principle and Action	39-46
H1	9/14	Homework Assignment # 1 (1.1, 1.2, 1.4, ~1.5)
L5	9/17	Variational calculus; Ignorable coords, conserved quantities; Hamilton's Equations; Velocity-dependent forces.	46-57
L6	9/21	2-body central forces; Kepler problem; a, e, L, E, T	63-71
L7	9/24	Nearly circular orbits; closed orbits; Runge-Lenz;Virial Theorem	72-78
H2	9/24	Homework Assignment # 2 (1.3, 1.6, 1.7, 2.6, 2.7)
L8	9/28	Rutherford scattering; Rainbow, glory. Config space for rigid body	78-88
L9	10/1	Groups Rotating kinematics, \vec \omega, Coriolus	89-95
H3	10/1	Homework Assignment # 3
L10	10/5	inertia tensor; L, T of cm and about cm. \parallel and \perp axis theorems; Principal Axes; tire balancing	95-103
L11	10/8	Euler's equations. Axisymmetric free body; General free rigid body; Poinsot	103-110
H4	10/8	Homework Assignment # 4
L12	10/12	Euler angles; Relation to \vec\omega; Symmetric top. Small displacements from stable equilibrium	110-122
L13	10/15	Diagonalization procedure; normal modes; molecules	122-128
H5	10/15	Homework Assignment # 5
L14	10/19	, using fourier trans; Other L's. Loaded and thick strings.	128-137
L15	10/22	Field Theory; Three dimensional continua - solids; Equations of Motion	137-145
H6	10/22	Homework Assignment # 6
Exam	10/26	Midterm Exam, Sections 1.1 - 5.3
L16	10/29	Fluids. Legendre transforms, 1-forms,	145-154
L17	11/2	complex structure; variations on phase curves; Canonical transformations,	155-159
L18	11/5	Poisson brackets; Jacobi identity; Poisson and Liouville Theorems;	159-165
H7	11/5	Homework # 7 Redo Exam  Due in class
L19	11/9	Higher Differential Forms; Exterior derivative	165-169
L20	11/12	more on diff. forms, symplectic form on phase space	169-175
H8	11/12	Homework Assignment # 8
L21	11/16	Generating Functions	175-180
L22	11/19	Canonical Transformations, active and passive; Hamilton Jacobi theory	180-187
H9	11/19	Homework Assignment # 9
L23	11/23	an HJ solution, action-angle vars; Integrable systems	187-196
L24	11/30	invariant torii;	196-203
L25	12/3	perturbation theory; Adiabatic variation;	204-214
H10	12/3	at 11:59PM!  Homework Assignment # 10
L26	12/7	adiabatic, more variables; field theory	215-218, 227-233
L27	12/10	stress energy, special rel., Klein-Gordon, Maxwell Theory	233-240, 248-254
H11	12/10	at 11:59PM!  Homework Assignment # 11
Exam	12/18	Final exam, noon-3:30, SEC 202

Note: we should cover all of my book except pages 215, 219-226, 240-247.

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.