Overview - Prof. Richard B. Goldstein

Graphing any function of one variable showing the first derivative, tangent line, second derivative, and the osculating circle.
Parametric Equations illustrated in 2-D or surfaces 3-D as well as space curves in 3-D. The views can be altered by the use of sliders.
Solids of revolution found by rotating around the x-axis.
Ordinary Differential Equations with graphic solution.
The prey and predator differential equations shown graphically versus time or versus each other.
Graphing a function of two variables / surfaces with hidden line removal. By using the sliders the view can be altered. Also a tangent plane is introduced.
The animation of a vibrating string with any initial position and speed.

Descriptive Statistics - mean, median, mode, standard deviation, variance, skewness, and quartiles are calculated and the appropriate box-and-whisker diagram is illustrated.
Discrete simulation based upon the entry of a table using the JavaScript random number generator and bar graph output.
Random number generation illustrating the algorithm used for uniform, exponential, normal, lognormal, Weibull, Gamma, Beta, binomial, geometric, and Poisson distributions.
Various tests of randomness are used and graphically shown on the algorithms used by JavaScript, Randu, Siman, Simscript, and L'Ecuyer.
The convolution (statistical addition) of any two continuous random variables.
The convolution (sum) of the identical random variable from two to fifty times. The graphs illustrate the limiting normal distribution.
The continuous distributions (normal, student-t, chi square, F, gamma, beta, and Johnson system) and the discrete distributions (binomial, geometric, and Poisson) are illustrated with lookup of probabilities or quantiles either by simple entry or the use of sliders. Graphs and equations of the functions are shown and altered by the input data or slider. Various relationships among the distributions by Abramowitz and Stegun are given.

Solution (roots) of equations in one, two, or three variables. Various methods that are illustrated include bisection, false-position, and secant methods. Only real roots are given.
Interpolation methods of Neville, divided differences, natural cubic spline, and rational polynomials are used.
Numerical differentiation of any function using 3 points, 5 points, and Richardson extrapolation methods. Answers give estimates of the errors.
Numerical integration including a graph of the function. The methods used include trapezoid, midpoint, Simpson's rule, and Romberg's method. Error estimates are also given.
The solution of ordinary differential equations using methods of Euler, Euler/Huen, and 4th order Runge-Kutta. The Runge-Kutta method also shows the graph.
Minimization of unconstrained multivariate functions. Rosenbrock's function is used as an example.

The position of the sun is given based upon latitude, longitude, time of day, and day of the year. Sundial positions and the basis for the algorithm is included.
A rectangular solid from any viewpoint is illustrated.
A rectangular solid is shown in perspective and can be viewed from any point with various rotations.
Financial calculations
Retirement calculations - using continuous compounding growing with inflation