Plottron Help
Hints and Examples
Graphs
 To view 2D graphs, use the first parameter in the keypad (X, T, or θ)
 To view 3D graphs, use the second parameter in the keypad (Y, V, or phi).
 Choose between different graph types by swiping left and choosing either Real or Complex.
Real graphs

Regular
 To graph a parabola:
X^2
 To graph ripples:
cos(1X^2Y^2)

Parametric
 To graph parametric relations, use the semicolon (;) operator to separate the different functions for X, Y, and Z.
 To graph a circle:
cos(T);sin(T)
 To graph a cylinder:
cos(T);sin(T);V

Spherical
 To graph a spiral:
θ
 To graph a sphere:
1+0φ

Implicit
Use equals (=) operator between two functions of X and/or Y.
 To graph a circle:
X^2+Y^2=10
 To graph a crosshatch:
cos(X)=sin(Y)
 To graph a hyperbola:
Y^2−X^2=1
Visualization of complex functions

Drawing

Graphs, in green, the output of specified definition of function f : ℂ → ℂ on top of the drawn function input.

Type
exp(Z)
. Draw vertical lines; they are mapped to circles. Draw horizontal lines; they are mapped to differently angled lines.

Domain Coloring

View domain coloring plots of the specified definition of function f : ℂ → ℂ, with each point in the complex plane associated with an HSV color with value 1.

Type
Z
to view the identity color map.

The argument of the complex number determines hue, and the magnitude of the complex number determines saturation.

Complex argument in [0, 2π) → Hue angle in [0, 360°)

Complex magnitude in [0, +∞) % 20 → Saturation in [0, 1)
Calculator
 To set a variable, use the = operator.
 To use a variable, tap Rcl and choose a variable from the popover list. The list shows the variables and their values.
 To define a function, use either function variable f or g. Functions can take any number of arguments.
 f(X)=X+1
 g(X,Y)=1/(X^2+Y^2)
 Call a defined function like this:
 To symbolically differentiate a function:
 D(X,sin(X)) → cos(X)
 D(Z,exp(Z)) → exp(Z)
 After calling this function, the value at the specified variable of the derivative is stored in variable ans.
 Swipe left for settings.
 Enable Speak in settings to speak buttons pressed and answers calculated, even if VoiceOver is off.
Notes
General
 Brackets do not need to be matched.
 When using complex numbers, angle units are in radians regardless of the mode set in the settings.
Known Issues
 The symbolic Taylor approximations for the factorial function ! are incorrect. Disable Symbolic Derivative to view Taylor approximations when using the factorial function.
 Do not create a selfreferential function or a cycle of functions referring to each other, like:
 f(x)=f(x)
 f(x)=g(x) and g(x)=f(x)
Acknowledgements
 Special thanks to Daniel Lu for helping with the implicit plotting feature.
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