Physics 201 (Basic Mechanics)
Text: Classical Mechanics (JR Taylor)
-- -- -- note there are errata at the textbook
website
,
Supplementary: Marion, Spiegel, Wells, Symon, Boas (reserved
in Brauer)
Mathematical formulae: Dwight (QA310.D5), Prudnikov
(QA308.P7813) (reference shelf in Brauer)
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)
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 practical skills as needed with
no background.)
There will be no credit for late homework -- if the clock says 12:01, it's late.
week of | chapter | topics, main themes covered in lectures | problems due Friday at noon |
Jan 8 | 2 - 4 | Review of Conservation Laws and Newtonian methods | (3.21) |
Jan 13 | 5 | Linear oscillators, driven damped systems, phase space | 4.8, 23 |
Jan 20 | 12 | Fourier series, nonlinearity, real pendula, chaos, fractals | 5.43, 45 |
Jan 27 | 7.1 - 7.5 |
Hamilton's Principle, Lagrangian dynamics, Energy equation | 12.20 |
Feb 3 | 7.6 - 7.10 | Feynman (YHWH ?), connections to quantum mechanics | 7.14, 21 |
Feb 5 | 2-5 | Test 1 | |
Feb 10 | 8.1 - 8.5 | Central Forces, Reduced mass | 7.31 |
Feb 17 | 8.6 - 9.5 | Kepler's laws, Rotating reference frames | 8.22 |
Feb 24 | 9.6 - 10 | Fictitious forces, Foucault's pendulum | 9.29 |
Mar 3 | 0.1 - 10.4 | Rigid Rotations, Inertia tensor, Principal moments | 10.3, 7 Due Thursday before class |
Mar 5 | 7 - 9 | Test 2 | |
Mar 10 | --------------- | Spring Break (go find cherry blossoms) | |
Mar 17 | 10.5 - 10 | Euler's equations, Free rotation of a symmetrical top | 10.35 |
Mar 24 | 11.1 - 4 | Coupled oscillators, Normal modes | 11.4, 6 |
Mar 31 | 11.5 - 7 | Normal coördinates, Weighted strings | 11.31 -- |
Apr 7 |
16.1 - 3 | Continuous systems, Waves on strings | this week's problems, |
Apr 14 | 16.4 | Classical field theory and Heisenberg's principle | |
Apr 21 | review | ||
Apr 28 | Final Exam, 12pm |
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.
Solving physics problems is a creative activity at its best, not a rote process of following instructions
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