TouchPlot is a powerful grapher with a long list of features:
formula editor with custom keyboards along with prettyprint display of the formula being entered. Note that the syntax being used to enter a formula is based on direct polish notation. There is a learning curve, but usually it becomes really slick with practice. Please visit the website for more details about that, see in particular the tutorial section.
symbolic differentiation
representative curves of functions with a focus on accuracy and speed
calculation of first terms of iterative sequences, and graphical representations of them
parametric curves in cartesian and polar coordinates
solutions of equations and inequations, drawing of surfaces with equation z=F(x,y)
solutions of ordinary differential equations (first and second order) with vector fields
some user defined constants with sliders to observe how a curve is changed by a parameter, or to adjust initial conditions of a differential equation particular solution...
logarithmic scales if needed, adjustable separately for horizontal and vertical axis.
What's new in TouchPlot
Version 3.3:
Added definite integration
Added possibility to save user-defined functions in libraries
Added extensive embedded documentation (english and french)
Improved gestures for rescaling
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