Applied Math Solvers & Calculus
Analytical step-by-step solvers for algebra, matrix transformations, simultaneous systems, and numerical calculus with full KaTeX derivations.
Select a Mathematical Solver
Quadratic Equation & Parabola Solver
Computes real/complex roots, discriminant (Δ), axis of symmetry, and vertex coordinates (h, k) with full KaTeX steps.
System of Linear Equations (2×2 & 3×3)
Evaluates multi-variable linear equations using Cramer's Rule, determinant expansion, and consistency checks.
Matrix Operations & Determinant / Inverse
Computes determinant, matrix inverse, transpose (Aᵀ), and trace with step-by-step cofactor matrices.
Numerical Integration (Simpson's & Trapezoidal)
Evaluates definite integrals of trigonometric, exponential, and polynomial functions over custom intervals.
Mathematical Theorems & Quadrature Formulas
Quadratic Discriminant
2×2 Matrix Inversion
Trapezoidal Rule
Recommended Handbooks & Professional Tools
Auto-RotatingEssential high-yield reference standards and hardware for Applied Mathematics
Machinery's Handbook (31st Edition - Toolbox Edition)
by Erik Oberg, Franklin D. Jones
The 3,000-page ultimate manufacturing & mechanical engineering reference.
AISC Steel Construction Manual (16th Edition)
by American Institute of Steel Construction
The official code manual for structural steel design, member tables & specifications.