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 |