# Mathematics

> A searchable reference for the math formulas you actually use. Algebra, geometry, trigonometry, and calculus, rendered with KaTeX.

Static reference site. Every formula page lives at `/<category>/<topic>` and renders LaTeX with KaTeX. Source code: https://github.com/MKAbuMattar/mathematics.

## Basics

Foundations: powers, radicals, logarithms, polynomials, progressions, complex numbers, vectors, probability.

- [Powers](http://math.mkabumattar.com/basics/powers): Exponent rules and identities.
- [Radicals](http://math.mkabumattar.com/basics/radicals): Roots, fractional exponents, simplification.
- [Logarithms](http://math.mkabumattar.com/basics/logarithms): Log rules, change of base, natural log.
- [Quadratic Equations](http://math.mkabumattar.com/basics/quadratic-equations): Quadratic formula, discriminant, factoring.
- [Polynomials](http://math.mkabumattar.com/basics/polynomials): Expansion, factoring, special products.
- [Progression](http://math.mkabumattar.com/basics/progression): Arithmetic and geometric series.
- [Complex Numbers](http://math.mkabumattar.com/basics/complex-numbers): Imaginary unit, modulus, conjugate.
- [Vectors](http://math.mkabumattar.com/basics/vectors): Magnitude, dot product, cross product.
- [Probability](http://math.mkabumattar.com/basics/probability): Combinatorics, conditional probability, Bayes.

## Geometry

Areas, perimeters, surface areas, and volumes for 2D and 3D figures, with diagrams.

- [Area](http://math.mkabumattar.com/geometry/area): Square, rectangle, triangle, circle, ellipse.
- [Perimeter](http://math.mkabumattar.com/geometry/perimeter): Perimeter of common 2D figures.
- [Surface Area](http://math.mkabumattar.com/geometry/surface-area): Cube, cylinder, sphere, cone, pyramid.
- [Volume](http://math.mkabumattar.com/geometry/volume): Volume of 3D solids.
- [Lateral Area](http://math.mkabumattar.com/geometry/lateral-area): Lateral surface formulas.

## Coordinate Geometry

Distance, slope, and conic sections: circles, parabolas, ellipses, hyperbolas.

- [Coordinate Geometry Basics](http://math.mkabumattar.com/coordinate-geometry/basics): Distance, midpoint, slope, line equations.
- [Circle](http://math.mkabumattar.com/coordinate-geometry/circle): Standard and general equations of a circle.
- [Parabola](http://math.mkabumattar.com/coordinate-geometry/parabola): Standard forms, focus, directrix.
- [Ellipse](http://math.mkabumattar.com/coordinate-geometry/ellipse): Standard equations, foci, eccentricity.
- [Hyperbola](http://math.mkabumattar.com/coordinate-geometry/hyperbola): Standard equations, asymptotes, foci.

## Trigonometry

Trig functions, identities, graphs, higher angles, inverse and hyperbolic functions.

- [Trigonometry Basics](http://math.mkabumattar.com/trigonometry/basics): Sin, cos, tan and core identities.
- [Trigonometry Graphs](http://math.mkabumattar.com/trigonometry/graphs): Graphs of trig functions.
- [Higher Angles](http://math.mkabumattar.com/trigonometry/higher-angles): Double, triple, half angle formulas.
- [Laws of Trigonometry](http://math.mkabumattar.com/trigonometry/laws-of-trigonometry): Law of sines, law of cosines.
- [Inverse Trigonometry](http://math.mkabumattar.com/trigonometry/inverse-trigonometry): Arc functions and identities.
- [Hyperbolic Functions](http://math.mkabumattar.com/trigonometry/hyperbolic): sinh, cosh, tanh and identities.

## Calculus

Limits, derivatives, integrals, Laplace transforms, and differential equations.

- [Limits](http://math.mkabumattar.com/calculus/limits): Definition, properties, common limits.
- [Derivatives](http://math.mkabumattar.com/calculus/derivatives): Power, product, quotient, chain rule.
- [Integration](http://math.mkabumattar.com/calculus/integration): Antiderivatives, common integrals.
- [Laplace Transform](http://math.mkabumattar.com/calculus/laplace-transform): Transform pairs and properties.
- [Differential Equations](http://math.mkabumattar.com/calculus/differential-equations): First and second order ODEs.

## Optional

- [About](http://math.mkabumattar.com/about): Stack, motivation, scope.
- [Privacy Policy](http://math.mkabumattar.com/privacy-policy): No tracking, no cookies, no profiling.
- [llms-full.txt](http://math.mkabumattar.com/llms-full.txt): Concatenated MDX body of every formula page.
- [Repository](https://github.com/MKAbuMattar/mathematics): Source on GitHub.