Department of Mathematics

Math 300: Mathematical Computing

Matlab Newton's Method

Recall that Newton's Method is an iterative way of approximating a zero of a function \(f\). The idea is that, given a starting guess \(x_i\), we compute new estimates of the zero of \(f\) using the formula \[x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}\quad n=0,1,\dots\ .\] One uses this iteration until \(\vert x_{n+1}-x_n\vert\lt \text{tolerance}\) or until we give up trying. Write a Matlab function newton(f,x0,tolerance) that finds the zero of a function using Newton's method.

The "final exam" for this course will take place at 8:00 AM on Tuesday, 12 December. This will be an ordinary 50 minute test. It will be comprehensive, but weighted toward the latter half of the semester. As always, paper notes will be permitted, but no electronic devices will be allowed. A sample exam is available.

A Solution example is available for the quiz. The solution to Test 1 is still available too.

The ultimate assignment is posted.

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