Date: Sat, 12 Feb 2005 15:16:54 -0500 (EST)
From: Doron Zeilberger
Subject: Problem Set 1
Dear Class,
It is about time that you have a real problem set!
It is due Monday, but it only has one problem.
No extensions will be granted. Please complete it
promptly.
Best wishes
Dr. Z.
MathIsFun
------------------------------------------------
Problem Set 1 (Due Feb. 14, No Extensions!)
1) Using Maple, find the unique Polynomial P(x,y) that
satisfies the conditions
P(x,0)=x^4-x^2 ;
P(0,y)=y^4+2y^3 ;
diff(diff(P(x,y),x),y)=8*x*y+4*x ;
2)Using the implicitplot command in the package plots
(call it by typing:
with(plots);
),
plot the curve P(x,y)=0 for the frame -2<=x<=2, -2<=y<=2,
with the option axes=none .
3) Print it out. Using scissors, cut the shape out.
Hand it in to me in class.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
at first i sit down with my lunch and go, "well that was weird of him to make an assignment saturday afternoon with such a harsh deadline, he's usually so easy going... hrmmm...",... then it dawns on me... i suddenlyknew exactly what the shape was going to be without even looking at the equations... do you?
scroll on down and see the resulting maple worksheet from following his instructions...
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in other words for our discrete algorithms class, it's mandatory to give the professor a valentine during class on valentines day... dude :-P
that was easy.
back to work, later y'all.
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