Features: Graph a function y=f(x) with any resolution. Graph the first derivative f'(x). Graph the second derivative f''(x). Plot and calculate a function value f(c) at x=c. Draw the tangent line and calculate the derivative value f'(c) at x=c. Graph the integral function F(x) such that F'(x)=f(x), according to the fundamental theorem of calculus. Calculate the definite integral between x=a and x=b and draw the corresponding area under the curve. Find the arc length of the curve between x=a and x=b. Find the roots x such that f(x)=0. Find maxima and minima of f(x). Find points of inflection of f(x). Compute and draw an approximation to the Taylor series of f(x). Compute and draw an approximation to the Fourier series of f(x). Expression Calculator.
Algorithms: Function parser, compiler and interpreter using Lukasiewicz reverse polish notation with smart handling of round-off errors. Derivatives and Taylor series using Lagrange interpolation. Integrals and Fourier series using Simpson's rule. Roots and maxima/minima using Newton's method.
Notes: In the evaluation version each session is limited to 2:00 minutes. You can run the program as many times as you like.
