This demo shows the two main ways to construct polynomials: with the coefficients or with the roots. Furthermore the polynomial can be integrated, differentiated and plotted.
The matrix module is far to big to show all of it's methods in one demo. Therefore I selected some of the most common operations: determinant, rank, trace and the reduced row echelon form.
MathML is a way to store mathematical formulas. It comes in two flavours: content MathML (which encodes the meaning of the formula) and presentation MathML (with which yo can describe how the formula should be rendered).
This demo show how MathLib can parse content MathML and create presentation MathML.
Regression and Interpolation
This tool helps you to find a linear regression through some data points. Alternatively it can calculate the interpolating polynomial.
Last but not least: the plotting of mathematical functions on a canvas or with SVG. The plots are interactive, as they can be zoomed and moved.