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vpde_errata [2020/03/04 09:21] trinh [Typed notes] |
vpde_errata [2020/04/04 21:28] trinh |
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| * The Corollary 8.4 on convex sets should specify that "if every straight line (**that includes a point on the interior of $\Omega$**) intersects $\partial\Omega$ at two points at most" | * The Corollary 8.4 on convex sets should specify that "if every straight line (**that includes a point on the interior of $\Omega$**) intersects $\partial\Omega$ at two points at most" | ||
| + | * There were some typos in the derivation of the wave equation in Chap. 10. It should instead look like this: | ||
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| + | {{ :: | ||
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| + | * Chap. 12 and the Definition 12.8 of the even extension on p.56 should read $x\in[0, L]$ instead of $x\in[0, \pi]$ | ||
| + | * Example 15.4 should read $0 < x < \pi$ instead of $0 < x < 2$. //(Courtesy DH)// | ||
| + | * Eqn (16.7) should have $\lambda^2$ instead of $\lambda$ on the equation for $G$. //(Courtesy DH)// | ||
| + | * Theorem 18.3 should read the initial conditions of $u(x, 0) = f(x)$ and $u_t(x, 0) = g(x)$. //(Courtesy RA)// | ||
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| + | ==== Problem sets ==== | ||
| + | * PS5: Q1 should define the thermal conductivity as k not kappa. | ||
| ==== Solutions ==== | ==== Solutions ==== | ||
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| * PS4 Q4 $dx$ and $dy$ transposed | * PS4 Q4 $dx$ and $dy$ transposed | ||
| + | ==== Lectures ==== | ||
| + | * Correction to {{ : | ||