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### Topics - Kun Guo

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##### Home Assignment 9 / Problem 2
« on: December 03, 2012, 09:38:29 PM »
http://www.math.toronto.edu/courses/apm346h1/20129/HA9.html#problem-9.2

For U3, there shouldn't be a log; and for U2, it should be (1/2*pi)* log[(x^2+y^2)^(1/2)], right?

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##### Misc Math / Mean-value theorem
« on: November 24, 2012, 06:23:08 PM »
I do not quite understand step b and c(see attached) in the proof of Mean-value theorem. Did you use Green's identity or some other identity when dragging out terms from the integral?

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##### Misc Math / 2011 term test 2 Problem 3. d
« on: November 14, 2012, 10:41:56 PM »
utâˆ’kuxx=0 for xâˆˆ(0,Ï€)
with the boundary conditions ux(0,t)=0 and u(Ï€,t)=0 and the initial condition u(x,0)=x.

Part d) Write the solution in the form of a series.

If we use separation of variables, U=X*T, I found that T0 is t dependent. Then A0*T0 cannot not just a constant or zeor(A0 is for X).
Are there any mistakes regarding that part in both solutions poster last year?

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##### Misc Math / Lec 23 Possion formula clarification
« on: November 10, 2012, 05:33:03 PM »
Attached picture is a screen shot of online notes lecture 23. I was wondering if there is an addition r in front of sin(n*theta) in (12). Also, is there missing a^(-n) in calculating An and Cn?

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##### Home Assignment 7 / Problem 1
« on: November 10, 2012, 03:51:49 PM »
why in problem 1 we are looking for 'solutions' instead of a single solution?

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##### Home Assignment 6 / Problem 4
« on: November 05, 2012, 11:41:38 PM »
For part c, sinx/x is an even function and its integral is Si(x). Then should we simply get positive infinity?

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##### Home Assignment 3 / Problem 1
« on: October 04, 2012, 05:47:45 PM »
I noticed the given error function(Erf) in the problem set sheet is different with what's given in WolframAlpha. Which one should I use? Also, are we expected to write our final answers in form of Erf?

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##### Home Assignment 2 / Problem 2
« on: September 27, 2012, 12:45:31 AM »
It looks like I should use the result from part 3 for part 4. However if so, how should I use the initial values?

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