Parametric + polar graphing

Build parametric paths and polar graphs on iPad.

Choose the graph type that matches the mathematics, enter the required fields, set a useful domain, and inspect the resulting path without forcing it into Y=f(x).

$12.99 one-time purchase in the U.S. App Store.

Callie Pro iPad synchronized temporal graphing with curve fields and live parameter readouts
Parametric paths can remain connected to parameter readouts and synchronized Temporal playback.
Quick answer

When should you use parametric or polar graphing?

Parametric mode is designed for a path defined by paired x(t) and y(t) expressions over a parameter interval. Polar mode uses a radius expression over an angular domain.

Both modes can be framed with graph controls and inspected as plotted geometry; supported temporal variants add playback when the parameter changes with time.

Workflow

Choose the representation before entering the equation.

  1. 1

    Change the graph type

    Open the expression row's graph type control and choose Parametric 2D or Polar instead of an ordinary function.

  2. 2

    Enter the required fields

    For a parametric path, enter x(t) and y(t). For a polar graph, enter the radius expression in the supported angular variable.

  3. 3

    Set the domain

    Choose parameter or angle bounds that cover the part of the path you want to study.

  4. 4

    Frame and inspect

    Use Window, Fit, Zoom, and supported trace controls to examine the visible path.

Examples

Try a concrete case.

A circular parametric path

Use cosine and sine as paired coordinates over a full interval.

  • x(t) = cos(t)
  • y(t) = sin(t)

A polar curve

Enter a radius expression and adjust the angular domain so the complete shape is visible.

Complete reference

Continue in the definitive manual.

These links open the exact Callie Pro guide sections used as the factual source for this tutorial.

Get Callie Pro for iPad.

$12.99 one-time purchase in the U.S. App Store.