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Learning Objectives for Test #2 PGE 310
*Be able to write a MATLAB program for any of the numerical methods we have learned
in this class. Also be able to use the “feval” command properly.
Ch 6. Root finding of nonlinear equations
Identify situations where nonlinear equations arise naturally in science and engineering
Differentiate between “closed/bracketing” and “open” methods and the
advantages/disadvantages
between the two
Solve for the root of a nonlinear equation using any of the following
Bisection method
false position method (Not in book!)
fixed point iteration
Newtonraphson
Secant method
Modifiedsecant
Identify and describe the advantages, disadvantages, and pitfalls of each of the above
methods
Derive Newton’s method from a Taylor Series
Calculate approximate relative error in an iterative scheme
Describe and identify the convergence of each method (i.e. which are guaranteed to
converge, which converge fastest, etc.)
Ch 8. Solving Systems of Equations
Identify situations where systems of equations arise naturally in science and engineering
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 Spring '06
 Klaus

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