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General |
PHYS206: Supplementary material and notes
| Lecture | Date | Notes handed in class | What was covered |
| 1 | Jan. 5 | get assignment 1 Math review |
Introductions, expectations, review of needed math. |
| 2 | Jan. 7 | Review of Newtonian mechanics Textbook: §1 (chapter I) |
Inertial reference frames: why bother?! *Degrees of freedom; *generalized coordinates. |
| 3 | Jan. 10 | Textbook: §2 (chapter I) Brief introduction of functionals and optimization problems |
*Hamilton's principle; *Euler-Lagrange equations; Optimization problems. |
| 4 | Jan. 12 | Textbook: §3-§5 (chapter I) | *Hamilton's principle (cont'd) |
| 5 | Jan. 14 | *Lagrangians | |
| 6 | Jan. 17 | *Lagrangians and constraints (cont'd) | |
| 7 | Jan. 19 | Textbook : §6,7 (chapter II) return assignment 1; get assignment 2 |
*Conservation laws. |
| 8 | Jan. 21 | Textbook : §10 (chapter II) Textbook : §11 (chapter III) |
Mechanical similarity. *Motion in one dimension. |
| 9 | Jan. 24 | |
*Motion in one dimension(examples); |
| 10 | Jan. 26 | Textbook : §13 (chapter III) | *The two-body problem |
| 11 | Jan. 28 | Textbook : §14 (chapter III) | *Motion in a central field |
| 12 | Jan. 31 | Textbook : §15 (chapter III) Simulator for motion of planets |
*Kepler's laws |
| 13 | Feb. 2 | Details for Kepler's laws return assignment 2; get assignment 3 |
*Kepler's laws (cont'd) |
| 14 | Feb. 4 | Some history | |
| 15 | Feb. 7 | MIDTERM | |
| 16 | Feb. 9 |
Simulator for Rutherford scattering Textbook : §19 (chapter IV) |
Rutherford's formula |
| 17 | Feb. 11 | Textbook : §21 (chapter V) | *Small oscillations. |
| Feb. 14 | Reading week -- no classes | ||
| Feb. 16 | Reading week -- no classes | ||
| Feb. 18 | Reading week -- no classes | ||
| 18 | Feb. 21 | Textbook : §22 (chapter V) | *Forced oscillations. |
| 19 | Feb. 23 | Textbook : §23 (chapter V) return assignment 3; get assignment 4 |
*Oscillations in systems with many degrees of freedom |
| 20 | Feb. 25 | *Eg: Double pendulum | |
| 21 | Feb. 28 | Textbook : §24 (chapter V) Supplementary material: Phonons Simulations: Coupled oscillators |
*Vibrations of linear molecules. |
| 22 | Mar. 2 | *Linear molecule (cont'd). | |
| 23 | Mar. 4 | Textbook : §31 (chapter VI) | *Angular velocity. |
| 24 | Mar. 7 | Textbook : §32 (chapter VI) | *Moment of inertia tensor. |
| 25 | Mar. 9 | return assignment 4; get assignment 5 | *Examples. |
| 26 | Mar. 11 | Textbook : §34 (chapter VI) Textbook : §33 (chapter VI) |
*Eqs. of motion of a rigid body. Angular momentum of a rigid body. |
| 27 | Mar. 14 | Textbook : §35 (chapter VI); Rotations and Euler's angles |
*Euler's angles |
| 28 | Mar. 16 | Problem 1, page 112. | *Heavy symmetrical top |
| 29 | Mar. 18 | Textbook : §39 (chapter VI); Effect of the Coriolis force on projectiles |
Motion in a non-inertial frame of reference. |
| 30 | Mar. 21 | Textbook : §40 (chapter VII) | Hamiltonians and Hamilton's equations |
| 31 | Mar. 23 | Textbook : §42 (chapter VII) return assignment 5; get assignment 6 |
Poisson brackets and conservation laws. |
| 32 | Mar. 25 | Textbook : §45 (chapter VII) | Canonical transformations |
| 33 | Mar. 28 | Phase space | |
| 34 | Mar. 30 | Sommerfeld quantization rules | |
| 35 | Apr. 1 | Chaos and other odds and ends | |
| 36 | Apr. 4 | Guest lecture: Brett Gladman | |
| 37 | Apr. 6 | return assignment 6 | Guest lecture: Brett Gladman |
