Entering and plotting mathematical expressions

Use the buttons and/or your keyboard to enter mathematical expressions. Special keyboard equivalents:

Buttons that are grayed out, and their keyboard equivalents, are not valid and are ignored. Mathematical expressions can be dragged between boxes. Variables are defined by the mathematical expressions in their correspondingly labeled boxes. If any variable is defined using itself, it cannot be used for plotting.

Depressing a PLOT button plots the mathematical expression to its left:

• If the expression ultimately evaluates with a free variable \(x\), \(y=f(x)\) is plotted.
• If the expression ultimately evaluates with a free variable \(y\), \(x=f(y)\) is plotted.
• If the expression ultimately evaluates with a free variable \(\theta\), \(r=f(\theta)\) is plotted.
• To plot a constant function, use an expression with the free variable multiplied by 0.

The \(x\) and \(y\) limits of the plot are determined by the bottom and left input boxes, respectively.

Here’s an example to try:

• Enter \(1-p^{2}÷2+p^{4}÷4!-p^{6}÷6!+p^{8}÷8!-p^{10}÷10!\) and drag it to box \(q\). (Remember, use the ↑ button or the ^ key to exponentiate, and the ↓ button or \ key to end the exponent.)
• Then enter \(t\bmod\tau\) and drag it to box \(p\). (Remember, use the mod button or % key for mod, the \(\tau\) button or j key for \(\tau\).)
• Finally, enter \(\tau x\) and drag it to box \(t\) and click PLOT at box \(q\).
• After observing the result, enter \(5\theta\) and drag it to box \(t\).

This should give you a flavor of what can be done. For a more flexible and somewhat graphical interface, try here.

Enable advanced math functions:

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