SCHEDULE

One midterm exam will be scheduled in B&L 208 on the evening of Friday 23 October, 2015.
Date Lecture notes Topic
31 Aug 1 + appendices A,B,C,D A brief history, contrasting philosophies, and mathematical preliminaries
2 Sept 2 Newtonian mechanics
9 Sept 2+3 Newtonian mechanics and linear oscillators
14 Sept 3+appendix I Driven linear oscillators and wavemotion
16 Sept 4 Non-linear dynamics and chaos
21 Sept 5 Calculus of variations
23 Sept 5 Calculus of variations, 2
28 Sept 6 Lagrangian dynamics
30 Sept 6 Holonomic systems
7 Oct 6 Non-holonomic systems
12 Oct 7 Symmetries, invariance, and Hamiltonian
14 Oct 8 Hamiltonian mechanics
19Oct 9 Two-body motion for central force
21Oct 9 Central-force orbits, scattering
23 Oct   Midterm Examination, 1930 - 2300 hours, B&L208
26 Oct 10 Motion in non-inertial reference frames
28 Oct 10 Motion in a rotating reference frame
4 Nov 11 Rigid body rotation: inertial properties
4 Nov 11 Rigid-body motion: equations of motion
9 Nov 11 Dynamics of rigid bodies
11 Nov 12 Coupled linear oscillators
16 Nov 12 Normal modes for many coupled linear oscillators
18Nov 13 Non-standard Lagrangian mechanics, Hamilton's principle
23 Nov 14 Poisson brackets. Canonical transformations,
30 Nov 14 Hamilton-Jacobi theory. Action-angle variables.
2 Dec 16 Relativistic mechanics
7 Dec 17 Transition to quantum mechanics, Epilogue.
9 Dec   Review
9 Dec   Term paper submission deadline
17 Dec   Final Examination, 1230 - 1530hours