Algemator

About Algemator

The Algemator solves mathematical problems that you enter and gives you both the solution and the steps that lead to the solution. The Algemator also plots functions. It includes the following areas:

Geometry
- Cone
- Arc
- Sphere
- Circle
- Square
- Triangle
- Pythagoras’ theorem
- Rectangle
- Cuboid
- Parallelogram
- Rhombus
- Trapezoid
- Prism
- Pyramid
- Cylinder
- Intercept theorem

Units
- Convert units of length
- Convert units of time
- Convert units of weight
- Convert units of volume

Basics
- Cross-multiplication
- Capital, interest rate, interest amount
- Compound interest
- Percentage calculation
- Manual multiplication (times)
- Manual addition (plus)
- Manual subtraction (minus)
- Manual division (by)
- Roman numerals
- Associative law, distributive law, commutative law

Calculation rules and theorems
- pq-formula
- Quadratic formula

Terms and functions
- Simplify
- Completing the square
- Forming a linear function
- Polynomial division
- Differentiating
- Zeros and y-axis intercept
- Extrema
- Curve sketching
- Symmetry
- Monotonicity
- Intersections of functions
- Tangent of a function at a point
- Normal at a point of a function
- Inflection and saddle points
- Integral
- Calculating an integral (area)

Equations and inequalities
- Solving system of equations
- Solving equations.
- Solving inequality.

Planes, straight lines and points
- Line of intersection of two planes
- Intersections of a straight line and a plane
- Intersection of two straight lines
- Point is an element of the plane
- Point is an element of the straight line
- Position of two straight lines
- Position of a plane and a straight line
- Position of two planes
- Distance of a point to a line
- Distance of a point to a plane
- Distance of two planes
- Distance of a straight line to a plane
- Distance between two straight lines
- Plane equation containing three points
- Converting plane equation
- Computes vector equation of line

Matrices and vectors
- Determinant of a matrix
- Simplify matrices and vectors
- Compute inverse
- Cross product
- Dot product
- Normalizing a vector
- Angle between two vectors
- Absolute value of the vector (length)
- Linear dependence (collinearity)

Fractions and divisibility
- Decimal to fraction
- Fraction to decimal
- Simplifying fractions
- Divisibility
- GCD (greatest common divisor)
- LCM (lowest common multiple)
- Prime factorization
- Set of divisors

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