Sept 4:  Lecture 1         Introduction
                           coordinate systems
                           dot products, cross products
                           cylindrical, spherical coordinates
                                      ( 1.1 - 1.3) 
 
Sept 6:  Lecture 2           Newton's Laws
                             Conservation Laws
                             Momentum conservation
                             Projectile problems
                                       (1.4 - 1.7)                                       
 
Sept 11:  Lecture 3         Derivatives in cylindrical, spherical coordinates
                            Inertial Frames, Galilean Relativity
                             (rest of Ch 1)
 
Sept 13:  Lecture 4        Projectile motion with linear air resistance
                                    (2.1 - 2.2)
 
Sept 18:  Lecture 5       Projectile motion with quadratic resistance.
                                     (2.4)
 
Sept 20   Lecture 6        Quadratic resistance continued
                           Hyperbolic functions
                           (2.4)
 
 
Sept 25   Lecture 7        Circular motion
                           charged particle in uniform field
                           complex exponentials
                           (2.5 - 2.7) 
 
Sept 27   Lecture 8         Conservation of momentum
                            Rocket problem
                            Center of Mass
                            (3.1 - 3.3)
 
 
Oct 2    Lecture 9         Rotation
                           Torque
                           Angular Momentum
                           Moment of Inertia  
                           (3.4-3.5)
                                     
Oct 4     REVIEW OF Ch 1 - 3
 
Oct 9     IN CLASS EXAM 1
  
Oct 11    Lecture 10        Kinetic Energy
                            Work
                            Potential Energy
                           (4.1 - 4.2) 
 
Oct 16   Lecture 11          F = -Del(U)
                             Curved 1D systems
                             (4.3-4.7)
 
Oct 18   Lecture 12          Central Forces (spherical symmetry)
                             (4.8) 
 
Oct 23   Lecture 13           Two particle systems (collisions)
                              Ridgid bodies
                              (4.9 - 4.10)
 
Oct 25   Lecture 15            Oscillations 
                               Simple Harmonic Oscillator
                               General Solution, phase
                               Complex Exponentials
                               (5.1 - 5.2)
 
Oct 30  Lecture 16                Oscillations
                                  2D oscilations
                                  Damping
                                  (5.3 - 5.4)
 
Nov 1    Lecture 17               Oscillations
                                  Driven, damped
                                  Resonance  (phase shift)
                                  (5.5 - 5.6)
 
Nov 6     Lecture 18             Calculus of Variations
                                 Fermat's principle
                                 Euler-Lagrange equations
                                 (6.1 - 6.3)    
 
Nov 8     Lecture 19              Euler-Lagrange continued
                                  Minimum path 
                                  (Brachistochrone)
                                  (6.4)
 
Nov 13  Lecture 20               Lagrange's Equations
                                 Examples in different coordinate systems
                                 SHO, coupled pendulum
                                 (71. - 7.3)
 
Nov 15  Lecture 21               More Lagrangian examples
                                 Atwood Machine
                                 Block on moving wedge
                                 bead on hoop
                                 (7.4-7.5) 
 
Nov 20  Lecture 22              Generalized Momenta, Ignorable coordinates
                                Constraint problems and Lagrange multipliers
                                (7.6 - 7.10)
 
Nov 22 (Thanksgiving)
 
Nov 27   REVIEW SESSION
 
Nov 29   IN CLASS   EXAM 2
 
Dec 4   Lecture 23            The 2 body problem
                              CM and reduced mass
                              equations of motion
                              effective potential
                              (8.1 - 8.4)
 
Dec 6    Lecture 24              Equations for orbit 
                                 Kepler Orbits (bound, unbound)
                                 Changes of Orbit
                                 (8.5 - 8.8)
 
Dec 11  Lecture 25               Non Inertial Frames
                                 Rotating Frames
                                 (9.1 - 9.5)
 
Dec 13 Lecture 26                  Coriolis Force
                                   Centrifugal Force
                                   Foucault Pendulum
                                   (9.6 -9.9)
 
Dec 18  REVIEW
 
Dec 20  REVIEW
 
Dec 21  FINAL EXAM