What does Autograph Math cover?
1D  Statistics & Probability
Data Sets and Groupings
Data entered as either raw or grouped

Continuous or discrete data

Transform a data set

Dynamicly change class width on grouped data
Generate data from probability distributions
Representations of data

Histograms including frequency density

Cumulative Frequency diagrams

Box and whisker diagrams

Dot plots

Mean and three standard deviations

Line graph

Moving average

Stem and leaf

Statistics box with set size, mean, standard deviation

Table of statistics and tabulated values
Operations with data sets
Measurments of histograms and cumulative frequency diagrams Sample from data sets, demonstrating the central limit theorem
Probability distributions
Plot and sample from

Rectangular (discrete or continuous)

Binomial

Poisson

Geometric

Normal

User defined, continuous or discrete
Measurments and hypothesis tests fitting to data/ fit dependent
3rd Generation Graph Plotter for Schools and Colleges
2D  Graphing
Creation of interactive objects based on movable points, lines, vectors, conics, polynomials, shapes, data sets.
Shapes and transformations
Shapes either from a set of points or from a list of presets. Transformations including

stretches

shears

reflections

rotations

enlargements

translations
as well as arbitrary matrix transformations. Transformed objects update as the original object changes and can be chained. Rotations and enlargements can be animated, changing the value of the parameter, as can matrix transformations.
Vectors
Create as an interactive object using points or with cartesian or polar coordinates. Vectors can be added, subtracted, multiplied, duplicated, have the angle between them found and can form the basis of straight lines and translations.
Equations
One line true notation entry in explicit, implicit, parametric, piecewise, and polar forms.
Slow plot allows you to draw curves incrementally, stopping at important points.
Calculus
Differentiate, find the area below a curve or between two curves. Integration treated as a first order differential equation.
Differentiate, find the area below a curve or between two curves. Integration treated as a first order differential equation.
Numerical methods
Bisection solution. Newton Raphson method. Step forwards and backwards.
Numerical integration. Rectangle, trapesium and Simpson's methods. Animated the number of divisions.
Tangents and normals
Plot tangents and normals to curves; evolute draws these in many places along the curve, often leading to striking shapes.
Scatter graphs

Data sets from points, files or entered through Autograph's spreadsheet

Least squares regression graphically illustrated

Fit straight lines, polynomial or fit your own equation to the data
3D  Graphing
Points as the basis of objects
Form objects including:

shapes

lines

vectors

planes
Shapes
Either form shapes from joined triangles or select from a list of preset shapes
Transform shapes:

Rotations

Reflections

Enlargements

Translations
as well as arbitrary matrix transformations.
Lines and planes

Lines and planes from points, vectors or equations. Intersection of:

Lines and planes

Two planes

Three planes
Vectors
Vectors created from points or entered in Cartesian form. Add, subtract, copy, vector and scalar products.
Equations
Explicit, implicit, parametric, spherical and cylindrical polars
Draw normals and tangets to surfaces and parametric curves Acceleration and velocity vectors to parametric curves