MGD Computer Systems Autograph Specification

1D Statistics and 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

2D Graphing

 Creation of interactive objects based on moveable 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. VectorsCreate 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. EquationsOne line true notation entry in explicit, implicit, parametric, piecewise, and polar forms. Slow plot allows you to draw curves incrementally, stopping at important points. CalculusDifferentiate, find the area below a curve or between two curves. Integration treated as a first order differential equation. Differential equations First and second order solved. Plot slope field. Boundary conditions specified interactively. Numerical methodsBisection 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 Three dimensional 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. Vectors Vectors created from points or entered in Cartesian form. Add, subtract, copy, vector and scalar products. Lines and planes Lines and planes from points, vectors or equations. Intersection of: Lines and planes Two planes Three planes EquationsExplicit, implicit, parametric, spherical and cylindrical polars Draw normals and tangets to surfaces and parametric curves Acceleration and velocity vectors to parametric curves Extra features for the classroom

 CustomisabilityEverything from the selection behaviour through the backgrounds, behaviour of axes and thickness of the lines to the layout of the toolbars Interactive whiteboard friendly featuresAn on-screen keyboard allows you to enter equations without returning to your computer. The scribble tool lets you draw directly onto an Autograph page, avoiding the layer system used by some manufacturers Many results are displayed in the status bar; to make these more visible from a distance these can be duplicated in a larger font in the status box. Whiteboard mode sets Autograph's preferences in a way that is suitable for use with a data projector.Instructions windowLeave instructions for pupils to follow embedded in a saved Autograph file.