Project 3: Due 15 October 2013
Problem 1 Solve problem 6, p.361, in the textbook.
Problem 2 Solve problem 8, p.362, in the textbook.
Problem 3
(a) Continue example 12.3, p.375 in the book and construct 3 and 4 .
(b) Consider f (x) = sin
x
2
on (1, 1). Fin
Project 2: Due Tuesday 24 September 2013
Problem 1
(a) Find a and b, 0 < a 1, 0 < b 1 such that
max |(x + b)(x + a)(x a)(x b)| = max |(x2 a2 )(x2 b2 )|
x[1,1]
x[1,1]
be as small as possible.
(b) Verify that the solutions are given by cos ( ) and cos ( 38
The Ocial MATLAB Crash Course
Written mostly by Adam Attarian ([email protected])
May 27, 2008
As you may have heard, MATLAB is a powerful platform for mathematical and scientic computation.
Compared to C or JAVA, it has an easy to use programming interface
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Myths/Revision
Rounding errors can be magnified by unstable algorithms.
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Solutions of ill-conditioned problems can be especially sensitive to rounding errors.
MYTH: Instability and loss of significance can happen without cancelat