Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Students · Vector Fields

Vector Fields for a Taylor approximation

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a Taylor approximation live below — adjust the inputs and watch it respond, right in your browser.

Vector Field StudioLive

F(x,y) = (u, v) · quiver plot · drag to trace a flow line

Controls

u = fx(x, y)v = fy(x, y)

▶ Run in Python

Data Inspector

Arrows374

Domain[-5,5]²

Probe(2.5, 0.0)

Governing equation

F (x, y) = (P, Q) = (- y, x)

Reading this result: A pure rotation field: every arrow is perpendicular to the radius, so the flow circles the origin with zero divergence and constant curl.

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Frequently asked questions

Is this good for students?: Yes — this version of "Vector Fields for a Taylor approximation" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.