"Math-Assist" means Mathematical Assistant and that's exactly what this program is designed to be.It's for secondary level or high school students and teachers and anybody else who has anything to do with mathematics.
Math-Assist helps in solving most of the tasks of :
The prime numbers or twin primes between two natural numbers a and b are calculated.
The prime fatorization of a natural number n < 1014 is calculated.
G.C.F. and L.C.M.
The greatest common factor (GCD) the least commun multiple (LCM) and the sets of divisors of up to 10 numbers are calculated.
Decimals to Fractions
Periodical decimals will be transformed to fractions.
Fractions to Decimals
Fractions are transformed in periodical decimals and also the period and its length are determined.
Binomials of n-th Degree
The binomial ( a·x + b·y )n with 1 < n < 500 is calculated.
Equations of 4-th Degree
The solutions of a·x4 + b·x3 + c·x2 + d·x + e = 0 is calculated .
The integer solutions of a·x + b·y + c = 0 with a, b, c integer are calculated.
The pythagorean triples between two bounds are calculated.
Calculation in place value systems
Calculation with fractions
Calculation with complex numbers
Given two of the elements of a right-angled triangle the others are calculated.
Triangles by three Elements or Points
Given three elements or three points of any triangle the program calculates the sides, altitudes, medians, bisectrices, circumcircle, incircle, perimeter and area.
Given one of the following elements of a polygone with n vertices, the others are calculated.
Side, Circumcircle, Incircle, Perimeter and Area.
Area, perimeter and centroid of a polygone are calculated
Mappings of Polygones
A polygone can be mapped by a translation, axial symmetry, point symmetry, rotation, homothetic stretching, shear transformation or any combination of them.
Circles and its Parts
Given two elements of a circular section, radius, angle, arc, chord, section, segment, area, perimeter, distance between chord and arc and the arrow height are calculated..
Transformation between cartesian coordinates, polar coordinates and cylindrical coordinates.
Calculates all elements of a Tetrahedron, a Hexahedron, a Octahedron, a Dodekahedron or a Icosahedron
Calculates all elements of a Regular Prism, a Right Circular Cylinder, a Regular Pyramid, a Right Circular Cone or a Sphere.
Line through two Points
Two points determine a straight line. Its equation will be formed and its position to the co-ordinate planes are analysed.
Plane through three Points
Three non-kollinear points determine a plane. The equation of this plane is formed as Point-slope-form and as Equation in coordinates. The distance from origin and the Trace Points is calculated.
Sphere through four Points
Four non-coplanar points determine a sphere. The equation of this sphere is formed.
Intersections in the Plane
The intersections between two lines, a line and a circle and between two circles are calculated.
Intersections in the Space
The intersections between two lines, a line and plane, two planes, a line and a sphere, a plane and a sphere and between two spheres are calculated.
The distance between two points, a point and line, a point and a plane, between two lines, a line and a plane and between two planes are calculated.
Division of Polynomials
The product and quotient of two polynoms will be calculated.
There are three plotters. One for up to five explizit functions, one for segmentwise defined functions and one for functions in parametric representation.
Curve discussion of an arbitrary function. The derivations, zeros, extrema and points of inflection are determined.
Approximation of the zeros of a function f(x) by Newton's method with a first guess x0.
Plotter for functions given as a series over f(x,k). You may develop the function with different parameter ranges and different y-offset.
The definite integral over f1-f2 from a to b is calculated as well as the oriented and absolut content under the curve, the twisting moments, the bodies of revolution and the centroid.
Plotter for an area function f(x,y), which may contain a subterm u(x,y).
Mean, median, standard deviation and variance of a sample and the corresponding histogram are calculated.
The regression curve to fit a sample of points is calculated. Supported are proportional regression, linear regression, geometrical regression, exponential regression, logarithmic regression and polynom regression
The number of arrangements and combinations of k out of n elements, with or without repetitions are calculated.
For a b(k;n;p) distributed random variable X with fixed n and p you receive a histogram of the probabilities P( X = k ), a table of their values from kmin to kmax and the probability P(kmin≤X≤kmax).
For a h(k,n,m,r) distributed random variable X with fixed n, m and r you receive a histogram of the probabilities P( X = k ), a table of their values from kmin to kmax and the probability P(kmin≤X≤kmax).
For a normal distributed random variable X with given mean μ and variance σ you receive the density function and the distribution function.
» Linear Algebra
Systems of Linear Equations
The solution of a system of linear equations will be calculated.
The linear combination of a vector out of three linearly independent vectors is determined.
Given two vectors the scalar product, the length of the vectors and the included angle are calculated.
Given two vectors the vector product and magnitude are calculated.
Given three vectors the mixed product is calculated.
A square matrix of order n is inverted
Given two matrices A1 and A2 the product matrix is calculated.
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