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 * <<color("Correction, Addition:")>> Footnotes 4 and 6 are new. In the last bullet point of page 6, the last sentence was incorrect, and is removed. A saddle point ''can'' exist, as we discussed in class! The paragraph just after that bullet point is also removed.&mdash;~-''<<DateTime(2014-10-16T12:18:00-0700)>>''-~  * <<color("Addition, Correction:")>> Footnotes 4 and 6 are new. In the last bullet point of page 6, the last sentence was incorrect, and is removed. A saddle point ''can'' exist in one dimension, as we discussed in class! The paragraph just after that bullet point is also removed.&mdash;~-''<<DateTime(2014-10-16T12:18:00-0700)>>''-~

Lecture Notes

  • Lecture 6, Oct 21: SHO, free and damped

  • Lecture 5, Oct 16: Conservation theorems, 1D motion

    • Addition, Correction: Footnotes 4 and 6 are new. In the last bullet point of page 6, the last sentence was incorrect, and is removed. A saddle point can exist in one dimension, as we discussed in class! The paragraph just after that bullet point is also removed.—12:18PM, Oct 16, 2014

  • Lecture 4, Oct 14: UCM and SHM

    • Correction: Four lines below 4.12, at the end: $\ddot x$ → $\ddot y$. (Thanks, ZA!)—9:05AM, Oct 14, 2014

  • Lecture 3, Oct 9: Air resistance, Non-linear oscillator

    • Addition: Eq. 3.6 is actually integrable, rather easily by hand, and the result is now added (Eq. 3.9).—9:41PM, Oct 09, 2014

    • Correction: 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.—7:27AM, Oct 09, 2014

  • Lecture 2, Oct 7: Newton’s laws, air resistance

    • Change: The end of page 4: references to sections and examples are removed.—12:15PM, Oct 07, 2014

    • Correction: Page 3: Marge box, near the end: last year → 2010.—9:32AM, Oct 07, 2014

    • Change: The end of page 2: “the textbook” → “various books.”—6:38PM, Oct 06, 2014

  • Lecture 1, Oct 2: Intro: particles, dimensions, vectors, scalars, matrices…

    • Addition, change: A new footnote (3). $L \rightarrow O$ in line 2 of page 7.—12:52PM, Oct 02, 2014

    • Correction: Pages 6,7, in definition boxes of vector, scalar: linear → orthogonal.—9:38AM, Oct 02, 2014

Appendices

  • A1: Perturbation

    • Correction At the end, the case when $v_0$ is non-zero was discussed incorrectly in the Oct 3 version. Now, corrected.—9:25AM, Oct 05, 2014

    • Addition: Page 8, more physics discussion added at the end.—10:28AM, Oct 03, 2014

    • Correction, addition: Page 7, the last term in the third order solution had a wrong sign—now corrected. Page 8, discussion added about the exact solution.—9:30PM, Oct 02, 2014

    • Change: page 6, the first sentence and the equations of the example (A.2) were arranged in a slightly different way.—12:42PM, Oct 02, 2014

  • A2: Essential trig identities