Vector Calculus
Math · Advanced · Lesson 1 of 8

Vector Fields

An arrow at every point

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • A vector field puts an arrow F(x, y) = (P, Q) at every point.
  • Basic patterns: uniform, source, sink, whirl, shear, saddle.
  • Test simple points to read a field’s formula.

Steps

  1. Arrows everywhere
  2. Read an arrow
  3. Which way round?
  4. Build a saddle
  5. Gravity as a field
  6. Where is it calm?