I'm a professor of mathematics at the University of North Carolina Asheville. I've also done a fair amount of consulting work over the years focusing on scientific and data visualization.
I'm happy to be part of the first Observable Ambassador's cohort.
Public
Edited
Dec 30, 2023
// A list of students and their assigned functions.
// Often, I prepare this externally using Sympy.
names_and_functions = [
{ f: "", name: "" },
{
f: "x^3+6 x^2+9 x-1",
name: "Adrienne"
},
{
f: "x^3+5 x^2+6 x-1",
name: "Audrey"
},
{
f: "x^3+x^2-2 x-1",
name: "Flippy (anonymous student)"
},
{
f: "x^3+4 x^2+3 x-1",
name: "Mark"
}
]
// Define f
f = (x) => x ** 3 + x ** 2 - 2 * x - 1
// Take a look at a graph
funplot(f, { xdomain: [-3, 2], ydomain: [-8, 8] })
{
// Define the Newton's method iteration function N
let N = (x) => x - f(x) / (3 * x ** 2 + 2 * x - 2);
// Initialize x=1, since the root is nearby
let x = 1;
// Set up a list of points
let pts = [x];
// Iterate N!
// Note that we push each iterate onto the list of points
for (let i = 0; i < 6; i++) {
x = N(x);
pts.push(x);
}
// Return the pts
return pts;
}
import { funplot } from "@d3/funplot"
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