The Picomath suite of programs will perform a wide range of algebraic manipulations, and expressions can be symbolically differentiated or integrated.
POLYNOM can expand and simplify, differentiate, or integrate, a polynomial expression such as:
(2x - y). (x + y)2 - (28z - 1)2
into the equivalent polynomial:
2x3 + 3x2y - y3 - 784.z2 + 56.z - 1
blurb - lots of itRATIONAL can expand and simplify an expression such as:
1 + 1 - 1 + 2x
x-1 x-1 x2-1
into the equivalent ratio of two polynomials, reduced to lowest terms:
x+1 x-1
TRIGONOM can expand and simplify,differentiate, or integrate, a trigonometric expression such as:
1 + tan2x 1 + cot2x
into the equivalent standard form:
sec2x - 1
FOURIER can perform trigonometric transformations into a linear combination of sines and cosines of integer multiples of x. For example:
64 sin4x cos3x
will be transformed into:
3 cos x - 3 cos (3x) - cos (5x) + cos (7x)
Memory requirements: Programs 5K, graphics ½K, need floating-point.