Graphs a complex-valued map of a complex variable.

Graphing Functions (3-D)

Graphs up to three functions of two variables in rectangular coordinates.

Applet

Instructions

Examples

Notes

Expression input fields

such as f_{1}(x,y)=
accept a wide variety of mathematical expressions.
The variables x and y are allowed in the expression, as indicated in the field label.
The color of the field label indicates the current
color of the corresponding object in the graph.
Click on the field label to change the color.

On the graph

clicking and dragging the mouse on the graph rotates the graph.

Buttons

Graph

-- redraw or refresh the graph using current field values.

Clear

-- set all fields to default values and redraw the graph.

Buttons under the graph

Bounds

-- displays a pop-up window to set graphing x-axis, y-axis,
and z-axis bounds and marks.

View / Grid

-- displays a pop-up window to set view perspective
and grid spacing for graph.

"Bounds" pop-up window

x_{min}=

x_{max}=

Δ_{x}=

y_{min}=

y_{max}=

Δ_{y}=

z_{min}=

z_{max}=

Δ_{z}=

OK

Std

Apply

Cancel

All fields accept real numbers in decimal notation.

x-axis is drawn from x_{min} to x_{max},
with marks every Δ_{x}.

y-axis is drawn from y_{min} to y_{max},
with marks every Δ_{x}.

z-axis is drawn from z_{min} to z_{max},
with marks every Δ_{z}.

Buttons in the pop-up window

OK

-- redraw the graph using current values of fields, and close the window.

Std

-- redraw the graph using default values of fields (window stays open).

Apply

-- redraw the graph using current values of fields (window stays open).

Cancel

-- close the window without changing field values used to draw the graph.

"View / Grid" pop-up window

View angles:

a=

b=

Enter View Point

Grid spacing:

x_{grid}=

y_{grid}=

OK

Std

Apply

Cancel

All fields accept real numbers in decimal notation.

Angle a is measured counterclockwise from positive x-axis in xy-plane.

Angle b is measured down from positive z-axis.

Angle measures are given in degrees.

x_{grid} and y_{grid}
determine spacing between grid points used for graphing the surface.

Buttons in the pop-up window

Enter View Point

-- displays a pop-up window for entering the coordinates of a point
to use for view perpsective.

OK

-- redraw the graph using current values of fields, and close the window.

Std

-- redraw the graph using default values of fields (window stays open).

Apply

-- redraw the graph using current values of fields (window stays open).

Cancel

-- close the window without changing field values used to draw the graph.

View Point pop-up window

x=

y=

z=

OK

Cancel

All fields accept real numbers in decimal notation.

The point is specified by the coordinates (x, y, z).

OK

-- use point coordinates to determine view angles, enter into the view angle fields
in the "View / Grid" pop-up window, and close this window.

Cancel

-- close this window without changing view angle field values.