Math 304 Semester Project
Spring 2001
Write a report on the quadratic spline spline function S(x) approximating
a function f(x) over interval [a,b] with given data:
a=x0<x1<...<xn=b
f(xi)=yi, i=0,1,2,...,n
f'(x0)=z0
The report must have the following components:
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Design of the quadratic spline
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Simplification of the algebraic equations that determine the parameters
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Write a Maple program based on the simplified equations
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Your program accepts input items: n, z0, xi, yi,
i=0,1,2,...,n, and output
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the parameters of the spline function
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the plot of the spline function on [a,b]
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A discussion
Your report must be typed in a Maple worksheet and printed
Due date is the last day of the 15th week (Friday, April 27). However,
it is a good idea to finish a draft of the project early so you could have
the instructor's suggestions. Also, you may need time at the end of semester
to review Final Exams.