#acl All:read == Lecture Notes == * '''Lecture 18''', ~-Dec 11-~: Short demos on rigid body and non-linear motions, followed by a review of all materials covered. For notes on the rigid body and non-linear motions, please see <> or <>. * '''Lecture 17''', ~-Dec 9-~: <> * '''Lecture 16''', ~-Dec 4-~: <> {{{#!wiki comment * <> The last section.—~-''<>''-~ }}} * '''Lecture 15''', ~-Dec 2-~: <> {{{#!wiki comment * <> $\sin^\psi \rightarrow \sin^2 \psi$ in Eq 15.27 (thanks, AS!).—~-''<>''-~ * <> The diagram in page 4 and the paragraph following it are improved.—~-''<>''-~ }}} * '''Lecture 14''', ~-Nov 25-~: <> * '''Lecture 13''', ~-Nov 20-~: <> * '''Lecture 12''', ~-Nov 18-~: <> {{{#!wiki comment * <> A new paragraph in page 1.—~-''<>''-~ }}} * '''Lecture 11''', ~-Nov 13-~: <> {{{#!wiki comment * <> Section 11.3.—~-''<>''-~ * <> Missing $m$ restored in line 6 of page 3 (thanks KW!).—~-''<>''-~ * <> In page 2, item 4: $T_{eff} \rightarrow K_{eff}$.—~-''<>''-~ * <> A diagram, added in Section 11.2.1. More discussion, added in Section 11.2.2. Line → surface in Section 11.3.5. Most equations are numbered.—~-''<>''-~ }}} * '''Lecture 10''', ~-Nov 6-~: <> {{{#!wiki comment * <> Page 8, paragraph 2, line 5: $p + dq \rightarrow q + dq$.—~-''<>''-~ * <> Sections 10.4 and 10.5.—~-''<>''-~ }}} * '''Lecture 9''', ~-Oct 30-~: <> {{{#!wiki comment * <> Page 13, a new paragraph at the end of this page.—~-''<>''-~ * <> Page 6, $x$ and $X$ equations had errors (thanks, ZA!). Now corrected. Also, $v_0$ is kept all the way through in the calculation, as it should be, but a comment is added right after the equation of motion.—~-''<>''-~ * <> Footnotes 4 and 5. Also, $C$ is specificed explicitly as a non-zero constant (pages 4 and 5).—~-''<>''-~ }}} * '''Lecture 8''', ~-Oct 28-~: <> {{{#!wiki comment * <> Some highlighted words in Section 8.3.—~-''<>''-~ * <> Page 4, line 4, the middle term: the incorrect factor $\frac{1}{2}$ is removed (thanks, ZA!).—~-''<>''-~ }}} * '''Lecture 7''', ~-Oct 22-~: <> {{{#!wiki comment * <> The last section, improved (I think).—~-''<>''-~ * <> A section on qualtiy factor is added at the end (thanks to CK for his nice question during class, which prompted my addition here).—~-''<>''-~ * <> Page 10, just above Eq 7.35: period K → period T.—~-''<>''-~ }}} * '''Lecture 6''', ~-Oct 21-~: <> {{{#!wiki comment * <> Example 6.3.4 and plots.—~-''<>''-~ }}} * '''Lecture 5''', ~-Oct 16-~: <> {{{#!wiki comment * <> Footnotes 4 and 6 are new, and they reflect what we discussed in class. In the last bullet point of page 6, the last sentence was mathematically incorrect (while physically still very meaningful, if qualified a bit), and is removed. In principle, a saddle point ''can'' exist in one dimension in a mathematical sense, as we exemplified in class! At the end of the paragraph just after that bullet point “a saddle point” is added.—~-''<>''-~ }}} * '''Lecture 4''', ~-Oct 14-~: <> {{{#!wiki comment * <> Right after Eq 4.14, $\omega$ was missing in $r \equiv A/\omega_c$. Right before Eq 4.15, $t$ was missing in $\sin (\omega_c t + \theta_0)$. Both corrected (thanks ZA!). Also, footnote 4 added.—~-''<>''-~ * <> Four lines below 4.12, at the end: $\ddot x$ → $\ddot y$. (Thanks, ZA!)—~-''<>''-~ }}} * '''Lecture 3''', ~-Oct 9-~: <> {{{#!wiki comment * <> Footnote 6.—~-''<>''-~ * <> Page 11, line 3: $\alpha \rightarrow O(\alpha)$ (thanks NR!). Footnotes 6 and 7 are added.—~-''<>''-~ * <> Eq. 3.6 is actually integrable, rather easily by hand, and the result is now added (Eq. 3.9).—~-''<>''-~ * <> Eqs. 3.25 (and Eq. 3.27) missed $t_a$ in the middle term. Now, this is fixed, thanks to KD (!), whose question led to this correction. Equation numbers in page 9 are cleaned up as well.—~-''<>''-~ }}} * '''Lecture 2''', ~-Oct 7-~: <> {{{#!wiki comment * <> The end of page 4: references to sections and examples are removed.—~-''<>''-~ * <> Page 3: Marge box, near the end: last year → 2010.—~-''<>''-~ * <> The end of page 2: “the textbook” → “various books.”—~-''<>''-~ }}} * '''Lecture 1''', ~-Oct 2-~: <> {{{#!wiki comment * <> A new footnote (1) regarding real and complex numbers.—~-''<>''-~ * <> A new footnote (3). $L \rightarrow O$ in line 2 of page 7.—~-''<>''-~ * <> Pages 6,7, in definition boxes of vector, scalar: linear → orthogonal.—~-''<>''-~ }}} == Appendices == * <> * <> * <> {{{#!wiki comment * <> At the end, the case when $v_0$ is non-zero was discussed incorrectly in the Oct 3 version. Now, corrected.—~-''<>''-~ * <> Page 8, more physics discussion added at the end.—~-''<>''-~ * <> Page 7, the last term in the third order solution had a wrong sign—now corrected. Page 8, discussion added about the exact solution.—~-''<>''-~ * <> page 6, the first sentence and the equations of the example (A.2) were arranged in a slightly different way.—~-''<>''-~ }}}