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Sometimes we cannot solve a problem analytically. For example,

Find the root \(x^*\) of \(f(x)=e^x-x-2\) on the interval \([0,2]\).

Also we do not have a general analytic formula or technique to find roots of a polynomial of degree 5 or more (See Galois Theory). We solve these kinds of problem numerically:

Numerical Analysis includes study of the following:

We will cover numerical methods for the following topics:

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