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Messages - Chiara Moraglia

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Misc Math / Re: lecture 30
« on: December 02, 2012, 12:37:22 PM »
Have the lecture 30 notes been altered? The link above is not working for some reason. The notes in the original link on the homepage still have the 'l' and m=1. Thanks!

Misc Math / lecture 30
« on: December 01, 2012, 11:21:45 PM »

I tried solving the Euler ODE (3) in the lecture 30 notes, but by plugging in P:=ρm as usual I obtained λ=m(m+1) from the characteristic equation not λ=l(lm+1) as is given in the notes. I was wondering where this l comes from? Also, in equation (5) m=1 is chosen. Why?

Thank you!

Misc Math / Lecture 20 Notes
« on: November 11, 2012, 03:28:11 PM »
Hi, I was just wondering what the symbol O stands for in the notes of lecture 20, for example in formula (10). Thanks!

Home Assignment 5 / Re: About HA5
« on: November 10, 2012, 04:07:41 PM »
I'm confused over why the sketches for the full Fourier series and the sine Fourier series are different. They have the same formula. I would have expected them both to look like the plot for the sine Fourier series. Thanks.

Term Test 2 / Scope of Term Test 2
« on: November 10, 2012, 10:53:21 AM »

I just wanted to verify whether or not the material covered in home assignment 7 (Laplacian, etc.) will also be on the midterm. Is the test on all the material covered up and until Friday November 9th?


Home Assignment 4 / Re: Problem 3
« on: November 09, 2012, 05:55:45 PM »
I have a question regarding (3) in your above response Professor. Where is beta coming from? Is it just equal to alpha*X′(l)X(l) and this is why beta is constant? I am also unclear as to how you obtain λ.

Home Assignment 5 / Problem 6
« on: October 27, 2012, 09:59:08 PM »
For problem 6 I was wondering whether we decompose the functions into the full Fourier series or just the Fourier sine series. Also, when the problem says decompose with respect to sin((n+1/2)x), does that mean replace the usual sine term in the series with this different sine term?

Home Assignment 2 / Re: Problem 3
« on: October 05, 2012, 06:58:15 PM »
Hi, I understand how to derive the solutions for Problem 3, but now I have a question. For example, in 3.a, the solution is
u=x/2 for 0<x<2t, but u(0,x)=x/2 which does not equal 0, the given initial condition. Also, du/dt(0,x)=0 which does not equal 1, the given initial condition. I know however that these initial conditions are satisfied for u=t as x>2t. Could you please explain this?

Home Assignment 2 / Re: Problem 2
« on: September 29, 2012, 09:49:31 PM »
Sorry, I am still having trouble understanding how #2. b is asking to solve for v using v. Could someone help please?

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