Class Lectures
| Date | Marion | Topic |
| W 21 Jan | 2.1-2.2 |
Introduction; Newton's Laws; Inertial/Gravitational mass; Eotvos Experiment |
| F 23 Jan | 2.3-2.4 | Reference Frames; Particle Motion: F=const; F=F(v) |
| M 26 Jan | 2.4 | Projectile motion with air resistance |
| W 28 Jan | 2.5 | Conservation of linear and angular momentum |
| F 30 Jan | 2.5-2.7 |
Conservation of energy; Rocket motion; limits of classical mechanics |
| M 2 Feb | 3.1-3.3 | Simple harmonic motion in 1 and 2 dimensions; Lissajous figures |
| W 4 Feb | 3.4-3.5 | Phase space; Damped oscillations |
| F 6 Feb | 3.5-3.6 | Damped oscillations with driving forces |
| M 9 Feb | 3.6,3.9 | Resonance; Fourier Series |
| W 11 Feb | 3.9 | Fourier Integrals; delta functions |
| F 13 Feb | 3.10 | Green's Function; response to an impulsive force |
| M 16 Feb | 4.1-4.3 | Non-linear systems; phase diagrams
|
| W 18 Feb | 4.4 | Rigid pendulum |
| F 20 Feb | 4.5-4.6 | Jumps, hysteresis, phase lags; chaotic pendulum |
| M 23 Feb | 2.1-3.10 | Test 1 |
| W 25 Feb | 4.6 | Phase diagrams for the chaotic pendulum |
| F 27 Feb | 4.7-4.8 | Mapping; Lyapunov exponents |
| M 2 Mar | 5.1-5.2 | Gravitational fields and potentials |
| W 4 Mar | 5.2 | Gravitational examples |
| F 6 Mar | 5.5 | Tides |
| M 16 Mar | 5.3-5.5 | Tides; Poisson's equation; lines of force;
equipotential lines |
| W 18 Mar | 6.1-6.2 | Calculus of variations |
| F 20 Mar | 6.3 | Euler-Lagrange equation; Brachistochrone |
| M 23 Mar | 6.4 | Second form of Euler's equation; geodesics |
| W 25 Mar | 6.5-6.7 |
Euler's equations for several variables; Lagrange multipliers |
| F 27 Mar | 6.7-7.3 |
Delta-notation; Hamilton's principle; generalized coordinates and velocities |
| M 30 Mar | 4.1-6.7 | Test 2 |
| W 1 Apr | 7.4 | Lagrange's equations; configuration space; pendulum
in an accelerating train |
| F 3 Apr | 7.5 | Lagrange's equations with multipliers;
sliding on a spherical surface |
| M 6 Apr | 7.6 | Equivalence of Lagrange's and Newton's Equations |
| W 8 Apr | 7.7-7.8 | Kinetic energy in Lagrangian dynamics |
| F 10 Apr | 7.9 | Conservation of energy, momentum and angular momentum |
| M 13 Apr | 7.10 | Hamiltonian dynamics |
| W 15 Apr | 7.11,7.13 | Summary of Hamilton's principle and consequences;
the virial theorem |
| F 17 Apr | 8.1-8.3 | Central forces; reduced mass; integrals of motion;
Kepler's second law |
| M 20 Apr | 8.4 | Equations of motion in a central field |
| W 22 Apr | 8.5-8.6,8.10 | forces that produce stable, closed orbits |
| F 24 Apr | 8.7 | Planetary Motion |
| M 27 Apr | 8.7 | Kepler's Laws |
| W 29 Apr | 8.8-8.9 | Transfer orbits; precession |
| F 1 Apr | - | Summary of Classical Mechanics |
| T 5 May | - | Final Exam; 1:30-4:30 |
Syllabus