Math calculators

Enter the starting interval and tolerance to see how many bisection midpoint evaluations are required. The calculator also shows whether a planned budget is enough and what decimal-place guarantee that budget supports.

Choose the derivative, target order, stencil direction, and grid spacing. The calculator returns the smallest supported stencil that meets the requested formal accuracy, with exact normalized weights and the leading truncation-error term.

Enter a real 2×2 system and bounds on uncertainty in its matrix and right-hand side. The calculator solves the system, reports its 2-norm condition number, and turns those input bounds into conservative error guidance.

Enter the interval, derivative bounds, and target absolute error. The calculator sizes the midpoint, trapezoidal, and Simpson rules and compares their guaranteed function-evaluation cost.

Enter a real 3 by 3 matrix, a starting vector, and a stopping tolerance. The calculator estimates one eigenvalue and eigenvector, then shows the residual at every iteration.

Enter coarse, medium, and fine results to estimate the order of convergence, the zero-step limit, the fine-result error, and the refinement needed for a target error.

Enter the coefficients of a real polynomial to build its Routh array and count roots in the open right half-plane. The result also calls out zero pivots, complete zero rows, and roots at the origin.

Enter a real polynomial and two starting values to estimate one of its real roots with the secant method. The results show every update along with the step size, residual, and checks that prevent a small step from being treated as a root by itself.

Enter a starting value and up to four percentage changes. The calculator compounds them in order and shows the final value, the net percentage change, and each intermediate step.

Enter a function, expansion center, evaluation point, and error tolerance. The calculator checks the selected Taylor degree and finds the smallest supported degree whose Lagrange bound meets the tolerance.