Math calculators
Numerical Calculus Calculators
16 tools
Numerical roots, trapezoid/Simpson/Gauss integrals, interpolation, derivatives, 1-D minimization, and scalar ODE (Euler/RK4). Function Workspace keeps one poly, sin, or exp across a root, a derivative, an integral, and a minimum. Numerical Workspace compares the methods of those engines, plus interpolation, on one problem. Not symbolic CAS. Specials and transforms have their own Families. Tools may appear in more than one topic.
Popular in Numerical Calculus
Featured tools from the Family registry.
- Numerical Root Calculator Find an approximate real zero of a polynomial or sin x with Newton, bisection, or secant. Enter a starting point or bracket and inspect the stopping criterion. Runs locally.
- Definite Integral Calculator Composite trapezoid, Simpson 1/3, or Gauss–Legendre of a polynomial, sin, or exp on [a, b]. Not indefinite symbolic integrate. Runs locally.
- Gauss Quadrature Calculator n-point Gauss–Legendre quadrature of a polynomial, sin, or exp on [a, b]. Same engine as Definite Integral. Not indefinite CAS. Runs locally.
- Numerical Interpolation Calculator Piecewise-linear, Lagrange, or natural cubic spline of tabulated (x, y). Not regression, not CAS. Runs locally.
- One-Dimensional Optimization Calculator Minimize a polynomial, sin, or exp on [a, b] by golden-section search or Brent. Not multivariate, not max, not CAS. Runs locally.
All Numerical Calculus
Every live calculator in this family. URLs stay /calc/math/…
- Brent Method Calculator Brent’s method (golden section plus inverse parabolic interpolation) for a minimum of a polynomial, sin, or exp on [a, b]. Same engine as One-Dimensional Optimization. Not root-finding Brent. Runs locally.
- Definite Integral Calculator Composite trapezoid, Simpson 1/3, or Gauss–Legendre of a polynomial, sin, or exp on [a, b]. Not indefinite symbolic integrate. Runs locally.
- Euler Method Calculator Forward Euler for a scalar first-order IVP y′=f(t,y). Same engine as Ordinary Differential Equation. Not RK4, not rk45, not a system. Runs locally.
- Gauss Quadrature Calculator n-point Gauss–Legendre quadrature of a polynomial, sin, or exp on [a, b]. Same engine as Definite Integral. Not indefinite CAS. Runs locally.
- Golden Section Search Calculator Golden-section search for a minimum of a polynomial, sin, or exp on [a, b]. Same engine as One-Dimensional Optimization. Not Brent, not multivariate. Runs locally.
- Nonlinear Equation Calculator Find one approximate real zero of a polynomial or sin x with Newton, bisection, or secant. Uses the Numerical Root engine. Runs locally.
- Numerical Derivative Calculator Finite-difference derivative of a polynomial, sin, or exp, plus a numeric two-sided limit. Central, forward, backward, or limit. Discovery /two-sided-limit. Not symbolic d/dx. Runs locally.
- Numerical Interpolation Calculator Piecewise-linear, Lagrange, or natural cubic spline of tabulated (x, y). Not regression, not CAS. Runs locally.
- Numerical Root Calculator Find an approximate real zero of a polynomial or sin x with Newton, bisection, or secant. Enter a starting point or bracket and inspect the stopping criterion. Runs locally.
- One-Dimensional Optimization Calculator Minimize a polynomial, sin, or exp on [a, b] by golden-section search or Brent. Not multivariate, not max, not CAS. Runs locally.
- Ordinary Differential Equation Calculator Scalar first-order IVP y′=f(t,y) by Euler or classical RK4. rhs linear is y′=k y; poly is y′=p(t). Not rk45, not systems, not PDE, not CAS. Runs locally.
- Runge–Kutta Calculator Classical fourth-order Runge–Kutta for a scalar first-order IVP y′=f(t,y). Same engine as Ordinary Differential Equation. Not Euler, not rk45, not a system. Runs locally.
- Simpson Rule Calculator Composite Simpson 1/3 of a polynomial, sin, or exp on [a, b]. Same engine as Definite Integral. Not indefinite CAS. Runs locally.
- Spline Interpolation Calculator Natural cubic spline through tabulated (x, y). Same engine as Numerical Interpolation. Not Akima, PCHIP, or regression. Runs locally.
- Trapezoidal Rule Calculator Composite trapezoidal rule of a polynomial, sin, or exp on [a, b]. Same engine as Definite Integral. Not the fluid trapezoid pages. Runs locally.
- Two-Sided Limit Calculator Numeric two-sided limit of a polynomial, sin, or exp at a finite x. Same engine as Numerical Derivative. Not one-sided. Not L’Hôpital. Not a second engine. Runs locally.