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Free Online Calculators: Algebra, Geometry, Matrix & More

Covering algebra, geometry, trigonometry, matrix, functions, number theory, base conversion, electronics physics, statistics, and personal finance. Fast, mobile-friendly, and completely free.

Algebra 52 tools

Standard Form to Slope Intercept Calculator

Convert Ax+By=C into y=mx+b and identify slope and y-intercept.

Line Intersection Calculator

Find intersection coordinates of two straight lines with substitution and elimination methods.

FOIL Calculator

Expand two binomials (ax+b)(cx+d) using the FOIL method with clear steps.

Radical Multiplication Calculator

Multiply radical expressions, simplify the product, and keep exact square-root form.

Polynomial Multiplication Calculator

Multiply two polynomials by distributing every term and combining like powers.

Proportion Calculator

Solve a/b=c/x proportions using cross multiplication with clear algebra steps.

Scientific Notation Calculator

Convert numbers to scientific notation a×10^n with place-value steps.

Remainder Calculator

Find the remainder after integer division and verify a = bq + r with clear steps.

Geometry 89 tools

Torus Surface Area Calculator

Calculate torus surface area and volume from major radius and minor radius

Octagon Area Calculator

Calculate regular octagon area, perimeter, and apothem from side length

Triangle Area Coordinate Calculator

Calculate triangle area from three coordinate points using the determinant formula

Circumradius & Inradius Calculator

Compute circumradius R and inradius r of any triangle from side lengths

Right Triangle Calculator

Find hypotenuse, area, and perimeter from two right-triangle legs

Circle Segment Area Calculator

Calculate circular segment area from radius and central angle

Concave Polygon Area Calculator

Calculate the area of any simple concave or convex polygon using the Shoelace formula

Angle Between Lines Calculator

Calculate the angle and tangent between two intersecting lines

Trigonometry 78 tools

Tangent Graph Calculator

Find period, phase shift, and vertical shift for a tangent graph

Arcsec Calculator

Calculate inverse secant in degrees and radians using arccos of reciprocal

Oblique Triangle Solver

Solve any non-right triangle using Law of Sines and Law of Cosines

Radians to Degrees Calculator

Convert radian angles to degrees using degrees equals radians times 180 over π

Sum-to-Product Calculator

Apply sum-to-product formulas: sinA±sinB, cosA±cosB

Terminal Point Calculator

Find terminal point coordinates from angle and radius using cosine and sine

Arccos Calculator

Calculate inverse cosine in degrees and radians for values from -1 to 1

30-60-90 Triangle Calculator

Calculate special right triangle sides using the x, x√3, 2x ratio

Matrices 47 tools

Orthonormal Basis Generator

Generate orthonormal basis with Gram-Schmidt and normalization for 2D and 3D vectors

Matrix Column Space Calculator

Find basis for column space using pivot columns from RREF

Matrix Logarithm Calculator

Compute log(I+A) for 2x2 matrices using Taylor series expansion

Jordan Canonical Form Calculator

Transform matrices to Jordan normal form with detailed step-by-step derivation

Moore-Penrose Pseudoinverse Calculator

Compute A⁺ (pseudoinverse) using SVD method with detailed step-by-step computation

SVD Decomposition Calculator

Compute singular value decomposition A = UΣV* with detailed step-by-step computation

Matrix Minimal Polynomial Calculator

Find the monic polynomial of least degree annihilating a matrix

Matrix Trace Calculator

Compute trace (sum of diagonal elements) for 2x2 and 3x3 matrices

Functions 63 tools

Inverse Function Calculator

Swap x and y to derive the inverse function expression

Quadratic Graph Simulator

Simulate parabola graphs with vertex, axis of symmetry, intercept behavior, and coefficient changes

Strictly Convex Analyzer

Verify if f(x) > 0 (strictly convex) for common functions

Periodic Function Validator

Check periodicity and find the fundamental period of functions

Exponential Function Solver

Solve a^x=b and evaluate exponential functions using logarithms

Strictly Concave Analyzer

Verify if f(x) < 0 (strictly concave) for common functions

Extrema Calculator

Find minima and maxima of quadratic and cubic functions via vertex and derivatives

Logistic Function Analyzer

Analyze S-curve logistic functions with carrying capacity and inflection point

Number Theory 39 tools

Multiplicative Order Calculator

Find the smallest k where a^k is congruent to 1 modulo n

Modular Exponentiation Calculator

Compute a^b mod m using repeated squaring with step-by-step modular arithmetic

Palindromic Prime Generator

Generate and test numbers that are both palindromic and prime

Primitive Root Checker

Check whether a candidate is a primitive root modulo n by comparing order with phi(n)

Deficient & Abundant Number Classifier

Classify numbers as deficient, perfect, or abundant based on proper divisor sum

Aliquot Sequence Calculator

Compute the sum-of-proper-divisors sequence and detect perfect/amicable/sociable numbers

Sociable Numbers Calculator

Find sociable cycles and detect perfect/amicable/sociable aliquot cycles

Legendre Symbol Calculator

Evaluate the Legendre symbol and check quadratic residue status modulo an odd prime

Base Converter 56 tools

Base9 Nonary Converter

Bidirectional conversion between base9 (nonary) and decimal numbers

Base32 to Text Converter

Convert base32 encoded strings to plain text with step-by-step derivation

Base36 to Hex Converter

Convert base36 alphanumeric strings to hexadecimal with step-by-step derivation

Hex to Base36 Converter

Convert hexadecimal values to base36 alphanumeric with step-by-step explanation

Base100 Centesimal Converter

Bidirectional conversion between base100 (centesimal) and decimal numbers

Gray Code to Binary Converter

Convert Gray code (reflected binary) to standard binary

Base5 Quinary Converter

Bidirectional conversion between base5 (quinary) and decimal numbers

Repeating Radix Fraction Converter

Convert fractions and detect repeating digit sequences with detailed steps

Electronics 63 tools

Resistance Temperature Coefficient Calculator

Compute R = R₀(1+αΔT) with material presets for TCR analysis

Decibel dB Calculator

Convert between dB, power ratio, and voltage ratio with derivation

Battery Capacity Calculator

Convert Ah, mAh, Wh and calculate capacity from discharge data

Variable Resistor Divider Calculator

Calculate potentiometer voltage divider output by wiper position

AC Phase Difference Calculator

Compute phase difference and time delay between AC signals

Resistor Wattage Calculator

Compute power dissipation and select correct resistor power rating

Band Pass Filter Simulator

Simulate band-pass center frequency, Q factor, bandwidth, and frequency response

Low Pass Filter Simulator

Simulate RC low-pass filter cutoff frequency, gain, phase, and frequency response

Statistics 64 tools

Central Limit Theorem Simulator

Simulate sampling distributions, sample means, and the central limit theorem

Mode Grouped Data Calculator

Calculate mode for grouped data using modal class and interpolation

Permutation Calculator

Calculate permutations P(n,k) with step-by-step derivation for probability and statistics

Sample Size Calculator

Calculate required sample size for confidence intervals and hypothesis testing

Kurtosis Calculator

Calculate kurtosis and excess kurtosis for distribution tails

Uniform Distribution Calculator

Calculate uniform distribution PDF, CDF, probability intervals, and statistics with step-by-step derivation

Binomial Probability Calculator

Calculate P(X=k) for binomial distribution with step-by-step derivation

Range Variance Standard Deviation Calculator

Calculate range, variance, standard deviation for population and sample with step-by-step derivation

Life & Finance 71 tools

Flight Time Duration Calculator

Estimate flight time between major airports and cities worldwide

Expense Percentage Breakdown Calculator

Analyze your spending by category.

Gross Margin Calculator

Calculate business gross profit margin.

Study Time Planner Calculator

Plan optimal study sessions with Pomodoro technique and break scheduling

Pregnancy Due Date Calculator

Estimate your pregnancy due date and milestones.

ROI Calculator

Compute return on investment and payback period

Credit Card Payoff Calculator

Calculate credit card debt payoff.

Tip Calculator Split Bill

Calculate tips and split bills among multiple people

Algebra Geometry Trigonometry Matrices Functions Number Theory Base Converter Electronics Statistics Life & Finance Simulators

Free online calculators and tools covering mathematics, unit conversion, text processing, and daily life. Accurate, fast, mobile-friendly, and completely free to use.

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