perfectly suited software for the South African Math Curriculum
equations entered as text
Cartesian: y=f(x), x=f(y), implicit;
gradient, integral function; reflection in y=x
Inequalities (either convention) Piecewise
Parametric, polar equations
1st/2nd order Differential eqns (implicit entry)
dynamic conditions 1st order: slope field
Function definitions f(x), g(x)
Constants: families, animations
controls: including pause; full zoom facilities
points (cursors): individual points,
free or attached; locus; groups of points (shapes): transformations;
bivariate data: regression lines; centroid; residuals.
points: Solve f(x) = 0, f'(x) = 0, intersections; mid-point;
ratio; inversion; centroid; centre of circle.
lines 2 pts; tangent, normal; parallel, perpendicular line;
line segment; perpendicular,
curves: quadratic, cubic, polynomial through n points; circles:
2 pts, 3 pts;
centre and radius; ellipse (3 pts);
conic (5 pts); conic by eccentricity.
regression line; best fit polynomial;
fit any equation with constants to a data set.
copy, scalar multiple, negative, perpendicular, unit vector, sum
Methods/Areas: bisection; Newton-Raphson; x=g(x) iteration.
Area by rectangles, trapezium/Simpson's rule.
shear, stretch, reflection, rotation, enlargement, translation,
2x2 matrix (15 presets); animations.
any object driven by a single parameter can be animated (manual/auto).
Entries: Useful default entries available throughout using
editable mathematical text.
images: easily exported to Word. Bivariate/raw data sets easy
box: stores all results, intersections, tables of values,
coordinates, equations - all as text
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Statistics with Autograph