Mathematics

Calculators for mathematical problems.

Simpson's Rule Integration Calculator

Approximate area under a curve using Simpson's rule and compare it with a trapezoid estimate from the same three points.

Newton Iteration Step Calculator

Compute the next Newton-Raphson estimate, step size, residual ratio, and tolerance gap from a current point.

Two-State Markov Chain Calculator

Project a two-state Markov chain and compare the result with the steady-state distribution after a chosen number of steps.

Bayesian A/B Test Calculator

Compare two conversion rates with beta priors, posterior means, lift, and an approximate z-score for the difference.

Cubic Root Shape Calculator

Analyze a cubic polynomial using discriminant, derivative discriminant, inflection point, and value at the inflection point.

Exponential Growth Fit Calculator

Fit an exponential rate from start and end values, then forecast a later value and estimate doubling time.

3x3 Matrix Determinant Calculator

Calculate determinant, trace, row norm, and invertibility indicator for a 3x3 matrix.

Finite Difference Derivative Calculator

Estimate first and second derivatives from three sampled points and produce a local linear estimate.

Sample Size for Proportion Calculator

Estimate required sample size for a population proportion with confidence z-score, margin of error, expected proportion, and finite population correction.

Complex Polar Power Calculator

Convert a complex number to polar form and apply De Moivre's theorem for an integer-like power.

2x2 Eigenvalue Calculator

2x2 Eigenvalue Calculator analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

2x2 Matrix Condition Calculator

2x2 Matrix Condition Calculator analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

Linear Transform Analyzer

Linear Transform Analyzer analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

Quadratic Form Classifier

Quadratic Form Classifier analyzes a 2x2 matrix with determinant, trace, eigenvalue, and conditioning metrics.

Normal Distribution Calculator

Normal Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Poisson Distribution Calculator

Poisson Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Hypergeometric Distribution Calculator

Hypergeometric Distribution Calculator combines probability, sample size, observed events, and finite-population adjustment.

Bayesian Update Calculator

Bayesian Update Calculator combines probability, sample size, observed events, and finite-population adjustment.

Newton Method Calculator

Newton Method Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Polynomial Root Bound Calculator

Polynomial Root Bound Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Golden Section Search Calculator

Golden Section Search Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Cubic Discriminant Calculator

Cubic Discriminant Calculator uses iterative numerical reasoning to estimate a root and residual diagnostics.

Triangle Incenter Calculator

Triangle Incenter Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Bezier Curve Point Calculator

Bezier Curve Point Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Spherical Distance Calculator

Spherical Distance Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Sector + Triangle Area Calculator

Sector + Triangle Area Calculator combines circular, triangular, and radius-based geometry into one compact result set.

Least Squares Line Calculator

Least Squares Line Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Chi-Square Test Calculator

Chi-Square Test Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Confidence Band Calculator

Confidence Band Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Monte Carlo Error Calculator

Monte Carlo Error Calculator estimates standardized distance, uncertainty, and confidence range from sample assumptions.

Quadratic Features Calculator

Find vertex, discriminant, and real-root estimates for a quadratic expression.

Sequence Sum Calculator

Calculate arithmetic and geometric nth terms and sums from shared starting values.

Binomial Probability Calculator

Calculate exact and cumulative binomial probabilities for repeated independent trials.

Confidence Interval Calculator

Build a normal-approximation confidence interval from mean, standard deviation, sample size, and z value.

Two-Point Linear Predictor

Create a line from two points and predict y for a chosen x value.

Ellipse Calculator

Calculate ellipse area, approximate perimeter, and eccentricity from semi-major and semi-minor axes.

Complex Number Operations Calculator

Add and multiply two complex numbers, then calculate product magnitude.

2x2 Matrix Inverse Calculator

Calculate determinant and inverse entries for a 2x2 matrix.

Logistic Growth Calculator

Model bounded growth with carrying capacity, initial value, growth rate, and time.

Bayes' Theorem Calculator

Update a prior probability using sensitivity and false-positive rate.

Fraction Simplifier

Reduce a fraction to lowest terms and show its decimal value.

Fraction to Decimal Calculator

Convert a fraction to decimal and percentage form.

Decimal to Percent Calculator

Convert decimal values into percentages and basis points.

Scientific Notation Calculator

Convert a number into scientific notation components.

Linear Interpolation Calculator

Estimate a value between two known points using linear interpolation.

Exponent Calculator

Raise a base number to a power and view the reciprocal power.

Square Root Calculator

Calculate square root, cube root, and squared value.

Rectangle Area Calculator

Calculate rectangle area, perimeter, and diagonal from length and width.

Triangle Area Calculator

Calculate triangle area from base and height.

Cylinder Volume Calculator

Calculate cylinder volume and surface area from radius and height.

Ratio Simplifier

Simplify two whole numbers into their lowest ratio and decimal equivalent.

Slope and Intercept Calculator

Find rise, run, slope, y-intercept, and line angle from two points.

Distance Between Points Calculator

Calculate the straight-line distance and coordinate differences between two 2D points.

Midpoint Calculator

Find the midpoint and coordinate changes between two points in a plane.

Circle Calculator

Calculate diameter, circumference, and area from a circle radius.

Pythagorean Theorem Calculator

Calculate the hypotenuse, area, and perimeter of a right triangle from its legs.

Logarithm Calculator

Calculate logarithms in any positive base plus natural and common logarithms.

Factorial Calculator

Calculate n factorial and see how many ordered arrangements exist for n items.

Permutation and Combination Calculator

Calculate permutations, combinations, and arrangements with repetition for n and r.

GCD and LCM Calculator

Find the greatest common divisor and least common multiple of two whole numbers.

Mean, Median, Mode

Calculate the mean, median, mode, and other statistical measures from a dataset.

Percentage Calculator

Pick the question you need, type two numbers, and get a clear percentage, increase, decrease, or change card.

Triangle Side, Angle & Area Calculator

Solve every side, angle, area, and radius of a general triangle by entering the three measurements you already know.

Standard Deviation Calculator

Calculate mean, standard deviation, and variance from a set of numbers.

Volume Calculator

Calculate the volume of common 3D shapes easily.

Quadratic Equation Solver

Solve quadratic equations ax² + bx + c = 0 and get roots, discriminant, and vertex coordinates.

Z-Score and P-Value Calculator

Calculate z-scores, p-values, and perform statistical hypothesis testing with the standard normal distribution.

Matrix Calculator

Perform matrix operations: addition, subtraction, multiplication, determinant, rank, inverse, eigenvalues, and eigenvectors.

Vector Calculator – Dot, Cross & Projections

Calculate vector magnitudes, dot product, cross product, angle, and projections in 2D or 3D space.

System of Linear Equations Solver

Solve 2x2 and 3x3 systems of linear equations using Gaussian elimination. Get exact solutions, detect inconsistencies, and find infinite solution sets.