
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; \vec F ,T, W, \tau,U(\vec r);
P, L; cm;

18 
L2 
9/8 
Systems of particles; Constraints, Generalized coordinates;
Mass Matrix; Phase Space; Dynamical Systems;

820 
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

2036 
L4 
9/13 
Constraints; D'Alembert; Lagrange's equations; Hamilton's Principle and Action

3644 
H2 
9/16 
Homework Assignment # 2
(1.4, ~1.5 ) 
L5 
9/16 
Variational calculus; Ignorable coords, conserved quantities;
Hamilton's Equations; Velocitydependent forces.

4553 
L6 
9/20 
2body central forces; Kepler problem;
a, e, L, E, T

5467 
L7 
9/23 
Nearly circular orbits; closed orbits; RungeLenz;Virial Theorem
 6773 
H3 
9/23 
Homework Assignment # 3
to view
to print

L8 
9/27 
Rutherford scattering; Rainbow, glory. Config space for rigid body

7480 
L9 
9/30 
Groups
Rotating kinematics, \vec \omega,
Coriolus

8395 
H4 
9/30 
Homework Assignment # 4 
L10 
10/4 
inertia tensor;
L, T of cm and about cm.
\parallel and
\perp axis theorems; Principal Axes;
tire balancing

95104 
L11 
10/7 
Euler's equations. Axisymmetric free body;
General free rigid body; Poinsot

104113 
H4 
10/7 
Homework Assignment # 5 
L12 
10/11 
Euler angles;
Relation to \vec\omega;
Symmetric top. Small displacements from stable equilibrium

113124 
L13 
10/14 
Diagonalization procedure;
normal modes; molecules

125132 
H6 
10/14 
Homework Assignment #6 
L14 
10/18 
using fourier trans; Other L's. Loaded and thick strings.

132136 + 
L15 
10/21 
Field Theory; Three dimensional continua  solids;
Equations of Motion

136142 
H7 
10/21 
Homework Assignment #7 
Exam 
10/25

Midterm Exam,
Sections 1.1  5.3 
L16 
10/28 
Fluids. Legendre transforms, 1forms,

145154 
L17 
11/1 
complex structure; variations on phase curves;
Canonical transformations,

155159 
L18 
11/4 
Poisson brackets; Jacobi identity; Poisson and
Liouville Theorems;

159166 
H8 
11/4 
Homework Assignment #8 
L19 
11/8 
Higher Differential Forms; Exterior derivative

166174 
L20 
11/11 
covariance, symplectic form on phase space,
d\omega_3 in extended p.s.

175180 
H9 
11/11 
Homework Assignment #0 
L21 
11/15 
Generating Functions;
Canonical Transformations, active and passive;

180186 
L22 
11/18 
Hamilton Jacobi theory, actionangle vars;

186195 
H10 
11/18 
Homework Assignment #10 
L23 
11/29 
Integrable systems, example invariant torii;

195200 (201206) 
L24 
12/2 
canonical pert. theory; timedependent pert. theory;

(206213) 
H11 
12/2 
Homework Assignment #11 
L25 
12/6 
Adiabatic variation;

(214226) 
L26 
12/9 
Field Theory, Special Relativity

(233246) 
H12 
12/9 
Homework Assignment #12 
L27 
12/13 
KleinGordon, Maxwell Theory

(254260) 
Exam 
12/21

Final exam, 1:005:00 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 218225 (224231) and,
sadly, 240247 (246253).
Supplementary Notes
Here are some supplementary notes, some of which may review material
we are using in more depth.
 Notes on totally antisymmetric tensors, or LeviCivita symbols,
ε_{μνρ...},
in 3D Euclidean space:
(view),
(print),
and in higher dimensional Euclidean or Minkowski space:
(view),
(print),
including their use with matrices and determinants. The
LeviCivita 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).

