Physics 301 (Classical Mechanics)
Text: Classical Mechanics (JR Taylor)
-- -- -- note there are errata at the textbook
website,
Supplementary: Marion, Morin, Spiegel, Wells, Symon, Boas
(reserved
in Undergraduate Library)
Mathematical formulae: Dwight (QA310.D5), Prudnikov
(QA308.P7813) (reference shelf in Science Library Annex)
Before we start, here is a sure strategy to get the best grade
possible
-- it never fails:
All exams: (3-4 problems)
open notes (only your own hand-written notes -- no photocopies)
Grades: approximately 20% hw problems and 80% exams
Expected mathematical skills:
(1) second order ordinary differential equations
(2) integral and differential calculus on several variables
(3) Fourier expansions
(4) matrix eigenvalues and eigenvectors
(All will be introduced as needed with
no background or reinforcement.)
week of | chapter | topics, main themes covered in lectures | problems due Friday at noon |
Jan 9 | 2 - 4 | Review of Conservation Laws and Newtonian methods | (2.14, 3.20, 4.9) |
Jan 14 | 5 | Linear oscillators, driven damped systems, phase space | 4.8, 4.23, 36 |
Jan 21 | 12 | Fourier series, nonlinearity, real pendula, chaos, fractals | 5.13, 18, 45 |
Jan 28 | 7.1 - 7.5 |
Hamilton's Principle, Lagrangian dynamics, Energy equation | 12.23, 25, (34) |
Feb 4 | 7.6 - 7.10, (13) | Feynman (YHWH ?), connections to quantum mechanics | 7.14, 31 |
Feb 13 | 2-5, 12 | Test 1 | |
Feb 11 | 8.1 - 8.5 | Central Forces, Reduced mass | 7.35, 41 |
Feb 18 | 8.6 - 9.5 | Kepler's laws, Rotating reference frames | 8.9, 12, 16 |
Feb 25 | 9.6 - 10 | Fictitious forces, Foucault's pendulum | 9.13, 29, 30 |
Mar 4 | 10.1 - 4 | Rigid Rotations, Inertia tensor, Principal moments | 10.3, 12, 22 Due Thursday before class |
Mar 11 | ---------- | Spring Break (go find cherry blossoms) | |
Mar 18 | 10.5 - 10 | Euler's equations, Free rotation of a symmetrical top | 10.27, 35, 56 |
Mar 20 | 7 - 9 | Test 2 | |
Mar 25 | 11.1 - 4 | Coupled oscillators, Normal modes | 11.5, 18, 20 |
Apr 1 | 11.5 - 7 | Normal coördinates, Weighted strings | 11.25, 26, 32 |
Apr 8 |
16.1 - 3 | Continuous systems, Waves on strings | this week's problems, |
Apr 15 | 16.4 | Classical field theory and Heisenberg's principle | more wave problems |
Apr 22 |
-- | Review, Continuous systems, etc | |
Apr 29 | Final Exam, 12pm |
Other "books" from the web that you might find useful:
Kupferman's lecture notes,
Arovas's lecture notes,
There is a (stolen) simulator for a driven pendulum for anyone
who wants to
play with it. It's flexible, but slow.
and a "textbook" on
chaos
For those who can be discrete, here are the pages from Baierlein's book on the relationship between the Lagrangian and quantum mechanics.
A parable about solving physics problems: It is a creative activity at its best, not a rote process of following instructions
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