Universal Math Calculator

📖 What this does

This is a math calculator that runs entirely in your browser, no network needed. Type an expression and it evaluates it: plain arithmetic, powers, roots, logarithms, trigonometry, factorials, combinations, permutations and greatest common divisors are all understood. Three extra tools are bundled: a quadratic equation solver, integer base conversion between any bases from 2 to 36 (big integers included), and statistics for a list of numbers (count, sum, mean, median, mode, range, variance and standard deviation). It is handy for checking homework answers, quick calculations while coding, or any time you need a result without opening a desktop calculator.

✨ Features

• Full expression parsing: addition, subtraction, multiplication, division, powers (^), modulo (%), nested parentheses and unary minus are handled with correct operator precedence, so you can paste a whole formula and get one answer.
• Scientific functions: absolute value, square and cube root, exponential, natural log, base-10 log, base-2 log, plus sine, cosine, tangent and their inverses, and hyperbolic functions.
• Degrees / radians switch: trig functions default to degrees; flip to radians and everything follows. Inverse trig results (asin, acos, atan) use the same mode.
• Combinatorics and number theory: factorial (n!), combinations C(n,k), permutations P(n,k), greatest common divisor and least common multiple work on integer input.
• Equation and base tools: enter coefficients to solve quadratic equations (complex roots shown for a negative discriminant) and cubic equations (Cardano's formula, complex and repeated roots included); integers convert between any bases from 2 to 36.
• Linear systems: type one equation per line for 2×2 or 3×3 systems; Gaussian elimination returns the unique solution and detects no-solution / infinitely-many-solutions cases automatically.
• List statistics: paste a list of numbers separated by commas or spaces and get count, sum, mean, median, mode, range, variance and standard deviation in one click.
• Calculus & numeric methods: definite integral (adaptive Simpson), numerical derivative (central difference), summation Σ and product Π (k from lower to upper bound), Newton root finding and limits (numerical extrapolation), all computed in radians.
• Complex numbers: addition, subtraction, multiplication, division and powers, plus modulus, argument, conjugate and polar form.
• Matrix tools: 2×2 and 3×3 determinants, transpose, inverse, matrix multiplication and 2×2 / 3×3 eigenvalues (complex eigenvalues included).

🛠 How to use

1. Type an expression in the Expression box, for example sqrt(144)+2^5 or 7!, then press Calculate or hit Enter to get the result.
2. Or use the on-screen keypad: digits, operators, parentheses, power, factorial, pi and e are one tap away; C clears, the backspace key deletes the last character, and common functions sit in the row below.
3. Before using trig functions, check whether Degrees or Radians is selected on the right; inverse trig output follows the same mode.
4. For Equation Solver, fill a, b, c in the upper section to solve a quadratic (a = 0 falls back to linear) and a, b, c, d in the lower section then press Solve Cubic; for Linear System type one equation per line (e.g. 1,2,3 means x+2y=3) — two lines solve a 2×2 system, three lines a 3×3 system.
5. For Base Conversion, enter an integer, pick the source and target bases and press Convert; results list binary, octal, decimal, hexadecimal and base 36 at once. For Statistics, enter numbers separated by commas or spaces and press Stats.
6. In Calculus & Series, type the function (use x or k as the variable), fill lower/upper bounds for the integral or sum, and use the initial value for the derivative point, Newton start or limit approach; in Complex Numbers fill the real and imaginary parts of two numbers and pick an operation; in Matrix Tools separate rows with semicolons and columns with commas — the eigenvalue button auto-detects 2×2 and 3×3.

⚠️ Notes

• Use * for multiplication: implicit multiplication is not supported. Write 2*pi instead of 2pi and 3*(4+2) instead of 3(4+2), otherwise you get a syntax error.
• Function names are lowercase English: sqrt, ln, sin and gcd must be typed in lowercase; Chinese or uppercase names are treated as unknown functions. When in doubt, tap the function key on the keypad.
• Factorial and combinatorics limits: factorial accepts non-negative integers only, and anything above 170! overflows the floating-point range; C(n,k) and P(n,k) need non-negative integers with k ≤ n.
• Division by zero and domain: dividing or taking modulo by 0 shows an error, as do the square root of a negative number and the logarithm of a non-positive value. Check your input first.
• Base conversion is integer-only: decimals are rejected. In Statistics, any non-numeric token in the list triggers an error, so separate numbers with commas or spaces only.
• Numeric methods use radians: trig inside the calculus panel is always interpreted in radians, independent of the deg/rad switch; integrating a function with a singularity (e.g. 1/x) may diverge.
• System format: each line of a linear system must hold the coefficients and constant for 2 or 3 variables, and the number of lines must be 2 or 3; a singular coefficient matrix means no solution or infinitely many solutions, which the tool detects automatically.
• Limits are numeric: the Limit button approximates by step-size extrapolation, suited to 0/0 forms and continuous functions; near genuine discontinuities or oscillating divergence the value may be unreliable, so cross-check with the graph or theory.
• Matrix limits: determinant and inverse work on 2×2 and 3×3 square matrices only; a singular matrix has no inverse; multiplication requires the left matrix's columns to equal the right matrix's rows.