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| * <<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! At the end of the paragraph just after that bullet point “a saddle point” is added.—~-''<<DateTime(2014-10-16T12:43:59-0700)>>''-~ | * <<color("Addition, Correction:")>> 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 incorrect, and is removed. In principle, a saddle point ''can'' exist in one dimension, as we discussed in class! At the end of the paragraph just after that bullet point “a saddle point” is added.—~-''<<DateTime(2014-10-16T12:43:59-0700)>>''-~ |
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, and they reflect what we discussed in class. In the last bullet point of page 6, the last sentence was incorrect, and is removed. In principle, a saddle point can exist in one dimension, as we discussed in class! At the end of the paragraph just after that bullet point “a saddle point” is added.—12:43PM, 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
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
Ph105-14