Ph105-14
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| * <<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 mathematically incorrect (while physically still very meaningful, if qualified a bit), 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)>>''-~ | * <<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 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.—~-''<<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 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.—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