Complex numbers, vectors, and applied mathematics calculators. Browse our free applied math tools below — all calculators are instant, accurate, and require no sign-up.
Catenary Curve Calculator — Calculate catenary curve properties including sag, arc length, tension, slope, and curvature using the equation y = a·cosh(x/a).
Center of Mass Calculator — Calculate the center of mass for 2D or 3D point mass systems with weighted averages, moment of inertia, and position diagrams.
Centroid Calculator — Calculate the centroid of a triangle or polygon from vertex coordinates, with area, perimeter, interior angles, and polygon diagram.
Complex Number Calculator — Perform complex number operations: add, subtract, multiply, divide, conjugate, and power with rectangular and polar forms, Argand diagram.
Discrete Convolution Calculator — Compute discrete convolution of two sequences with step-by-step computation, signal visualization, and output analysis.
Complex Root Calculator — Find all nth roots of a complex number, roots of unity, plot on unit circle, with rectangular and polar forms.
Divide Complex Numbers Calculator — Divide complex numbers step by step using the conjugate method, with polar division, verification, and Argand diagram.
Imaginary Number Calculator — Explore imaginary numbers: powers of i, operations with imaginary numbers, square roots of negatives, cycle visualization.
Quaternion Calculator — Quaternion operations: add, multiply, conjugate, inverse, normalize, axis-angle conversion, rotation matrix, and 3D rotation representation.
Multiply Complex Numbers Calculator — Multiply complex numbers with FOIL method steps, polar multiplication, Argand diagram, and detailed breakdown.