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vpde_errata [2020/04/04 21:29] trinh |
vpde_errata [2020/04/13 12:10] trinh |
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* PS3: Index notation needs to be removed from the main solutions in 19-20' delivery since the topic has been moved to the Appendix. Students are still free to use the technique if they learn it (as noted in lectures). | * PS3: Index notation needs to be removed from the main solutions in 19-20' delivery since the topic has been moved to the Appendix. Students are still free to use the technique if they learn it (as noted in lectures). | ||
* PS4 Q4 $dx$ and $dy$ transposed | * PS4 Q4 $dx$ and $dy$ transposed | ||
- | * PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n*\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. | + | * PS6 Q1. The function $\sin(x)\exp(-\cos(x^2))$ is indeed not periodic but not for the reasons stated in the solutions. The point here is that $\cos(x^2)$ is not a periodic function. You can verify this either by checking whether it's possible that $(x+L)^2 = x^2 + n\pi$ independent of $x$, or simply by plotting the $\cos($x^2)$ and observing its behaviour, particularly near the origin. |
+ | * **PS9 Q2:** There is a missing factor of $p$ on the bottom here. See Lecture 29. | ||
+ | * **PS9 Q4:** Looks like axes were doubled here. //(Courtesy RA, HC)// | ||
==== Lectures ==== | ==== Lectures ==== | ||
* Correction to {{ : | * Correction to {{ : |