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.
Published
Edited
Oct 12, 2020
5 stars
Illustrations for the proof of Green's theoremGreen's theorem and polygonal areaChampionship probabiltiesCorrelationA Taylor series about π/4\pi/4π/4Disks for a solid of revolutionTracing a path on a sphereFunctions of two variablesPartial derivativesDijkstra's algorithm on an RGGGradient ascentTangent plane to a level surfaceA strange discontinuityLevel surfacesHills and valleysThe definition of ⇒Polar CoordinatesParametric region generatorParametric Plot 2DContour plotsThe Kings Problem
Classification of 2D linear systems via trace and determinant
function make_system(tr, det) {
let d = tr - 1;
let c = d - det;
return {
xp: 'x+y',
yp: `${c}*x+${d}*y`,
xmin: -2,
xmax: 2,
ymin: -2,
ymax: 2
};
}
function make_tex(tr, det) {
let d = tr - 1;
let c = d - det;
if (d < 0) {
return tex.block`\begin{aligned}x' &= x+y \\ y' &= ${f(c)}x - ${f(
-d
)}y\end{aligned}`;
} else {
return tex.block`\begin{aligned}x' &= x+y \\ y' &= ${f(c)}x + ${f(
d
)}y\end{aligned}`;
}
}
f = d3.format('0.2f')
params = ({ tr: 0, det: 1 })
import { make_plot } from '@mcmcclur/first-order-autonomous-systems-of-odes'
d3 = require('d3-selection@2', 'd3-scale@3', 'd3-drag@2', 'd3-format@2', 'd3-shape@2', 'd3-axis@2', 'd3-array@2')
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