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diff --git a/ClassJuly5.page b/ClassJuly5.page index 664c440..20f4888 100644 --- a/ClassJuly5.page +++ b/ClassJuly5.page @@ -1,8 +1,10 @@ **[Lucas' Notes for Lecture 3](/SummerCourseHeatWave.pdf)** +# Unanswered Questions + Below are answers to some questions that came up during the lecture. If anyone remembers other unanswered questions please post them here as well, and hopefully they'll get answered. -# Heat Equation With Nonperiodic Boundary Conditions +## Heat Equation With Nonperiodic Boundary Conditions Suppose instead of having a metal ring we had a metal rod of length $L$, and we kept the ends of the rod at constant temperatures $u_0$ and $u_L$. How might we solve the heat equation in this context? @@ -67,5 +69,5 @@ In fact, every function of the kind described above does have a Fourier sine exp ## Convergence for not-so-nice Fourier series. -How do we know that the Fourier series of a square wave or sawtooth function converge? +How do we know that the Fourier series of a square wave or sawtooth function converges? |