Math & Statistics
Algebra, geometry, statistics and probability tools.
76 tools · 10 sub-topics
algebra
Quadratic Solver
Solve real roots of a quadratic equation ax² + bx + c = 0.
3D Vector Calculator
Compute magnitude and cross product of two 3D vectors.
Vector Projection Calculator
Project vector A onto vector B.
Cardano Cubic Solver
Solve a general cubic equation ax³+bx²+cx+d=0 using Cardano's method.
Quartic Equation Solver
Solve a quartic equation ax⁴+bx³+cx²+dx+e=0 for real roots.
Synthetic Division Calculator
Divide a cubic polynomial by (x − r) using synthetic division.
Complex Number Operations
Add, multiply and find the modulus of two complex numbers.
De Moivre's Theorem Calculator
Raise a complex number to a power using De Moivre's theorem.
arithmetic
coordinates
3D Distance Calculator
Find the straight-line distance between two points in 3D space.
3D Midpoint Calculator
Find the midpoint between two points in 3D space.
Polar Coordinates Converter
Convert between Cartesian (x, y) and polar (r, θ) coordinates.
Spherical Coordinates Converter
Convert Cartesian (x, y, z) coordinates to spherical (ρ, θ, φ).
Cylindrical Coordinates Converter
Convert Cartesian (x, y, z) coordinates to cylindrical (r, θ, z).
Angle Between Two Lines Calculator
Find the angle between two lines given their slopes.
Point-to-Line Distance Calculator
Find the shortest distance from a point to a line Ax + By + C = 0.
Triangle Centroid Calculator
Find the centroid of a triangle from its three vertices.
geometry
Area Calculator
Calculate the area of a rectangle.
Volume Calculator
Calculate the volume of a rectangular prism.
Circle Calculator
Calculate circle area and circumference from radius.
Triangle & Pythagoras
Find the hypotenuse and area of a right triangle.
Heron's Formula Calculator
Find a triangle's area from its three side lengths.
Law of Sines Calculator
Find a missing side or angle in a triangle using the law of sines.
Law of Cosines Calculator
Find the third side of a triangle given two sides and the included angle.
Regular Polygon Calculator
Find the area, perimeter and interior angle of a regular polygon.
Circle Sector Calculator
Find the area and arc length of a circular sector.
Ellipse Perimeter Calculator
Estimate the perimeter of an ellipse using Ramanujan's approximation.
Parabola Calculator
Find the vertex, focus and directrix of a parabola y = ax² + bx + c.
Hyperbola Calculator
Find the asymptotes, foci and eccentricity of a hyperbola x²/a² − y²/b² = 1.
Sphere Calculator
Find the volume and surface area of a sphere.
Cylinder Calculator
Find the volume and surface area of a cylinder.
Cone Calculator
Find the volume and surface area of a right circular cone.
Cone Frustum Calculator
Find the volume and surface area of a conical frustum.
Torus Calculator
Find the volume and surface area of a torus (donut shape).
Radians, Degrees & Gradians Converter
Convert an angle between radians, degrees and gradians.
Unit Circle Calculator
Find the sine, cosine and tangent of an angle on the unit circle.
inference
Two-Sample T-Test Calculator
Compare the means of two independent samples using a t-test.
Chi-Square Test Calculator
Test goodness-of-fit between observed and expected frequencies.
One-Way ANOVA Calculator
Compare the means of three groups using an F-test.
Confidence Interval Calculator
Find the confidence interval for a sample mean.
Margin of Error Calculator
Find the margin of error for a survey proportion.
Sample Size Calculator
Find the sample size needed for a survey at a target margin of error.
linear algebra
Matrix Determinant Calculator
Find the determinant of a 3x3 matrix using cofactor expansion.
Matrix Adjugate Calculator
Compute the adjugate (classical adjoint) of a 3x3 matrix.
Matrix Inversion Calculator
Invert a 3x3 matrix using the adjugate and determinant.
Matrix Multiplication Calculator
Multiply two 3x3 matrices A × B.
Dot Product Calculator
Compute the dot product and angle between two 3D vectors.
Kronecker Product Calculator
Compute the Kronecker (tensor) product of two 2x2 matrices, yielding a 4x4 matrix.
Eigenvalue Calculator (2x2)
Find the eigenvalues of a 2x2 matrix from its characteristic polynomial.
number theory
Prime Factorization Calculator
Break a positive integer down into its prime factors.
Sieve of Eratosthenes Calculator
List all prime numbers up to a given limit.
Greatest Common Factor (GCF) Calculator
Find the greatest common factor of two integers.
Least Common Multiple (LCM) Calculator
Find the least common multiple of two integers.
Modulo Calculator
Find the remainder when one integer is divided by another.
Chinese Remainder Theorem Calculator
Solve a pair of simultaneous congruences using the Chinese Remainder Theorem.
Change of Log Base Calculator
Convert a logarithm from one base to another.
probability
Normal CDF Calculator
Find the cumulative probability for a normal distribution.
Inverse Normal Calculator
Find the value x for a given cumulative probability under a normal distribution.
Bayes' Theorem Calculator
Compute the posterior probability P(A|B) using Bayes' theorem.
Law of Total Probability Calculator
Combine two mutually exclusive scenarios to find an overall probability.
sequences
Progressions Calculator
Find the nth term and sum of arithmetic, geometric or harmonic progressions.
Permutations (nPr) Calculator
Calculate the number of ordered permutations of r items from n.
Combinations (nCr) Calculator
Calculate the number of unordered combinations of r items from n.
Fibonacci Sequence Calculator
Generate Fibonacci numbers up to the nth term.
Pascal's Triangle Calculator
Generate a row of Pascal's triangle and its entries.
Double Factorial & Subfactorial Calculator
Compute the double factorial (n!!) and subfactorial (derangements, !n) of a number.
statistics
Average Calculator
Calculate the mean of up to five values.
Standard Deviation
Measure spread for a five-value population.
Pearson r & R² Calculator
Find the Pearson correlation coefficient and coefficient of determination for five paired points.
Spearman Rank Correlation Calculator
Find the Spearman rank correlation for five paired observations.
Mean Absolute Deviation Calculator
Find the MAD for five data values.
Interquartile Range (IQR) Calculator
Find Q1, Q3 and the interquartile range for five values.
Significant Figures Calculator
Round a number to a chosen number of significant figures.