MathFlux — free math reference

Lessons & formulas for
eight branches of mathematics

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Step-by-step explanations, worked examples, and formula sheets. Algebra through differential equations. No account needed.


Browse by topic

𝑥

Algebra

Equations, inequalities, functions, and polynomials.

Geometry

Shapes, angles, transformations, and proofs.

Calculus

Limits, derivatives, integrals, and series.

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θ

Trigonometry

Sine, cosine, tangent, and their applications.

σ

Statistics

Data analysis, probability, and distributions.

Linear Algebra

Vectors, matrices, and transformations.

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Number Theory

Primes, divisibility, and modular arithmetic.

δ

Differential Equations

First-order, second-order, and Laplace transforms.

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What you'll find here

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01

Step-by-step explanations

Concepts are broken down with plain language so you understand the reasoning, not just the result.

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02

Worked examples

Solved problems show how to apply each formula and technique in practice.

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03

Diagrams and graphs

Visual aids for abstract concepts — especially useful for geometry, calculus, and linear algebra.

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04

Practice problems

Exercises at different difficulty levels for each topic.

05

Formula reference sheets

Quick-lookup tables for common formulas, organized by subject.

06

Free, no account needed

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Sample content

A glimpse at how lessons are structured on MathFlux.

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Algebra

The Quadratic Formula

For ax² + bx + c = 0:

x = (-b ± √(b² - 4ac)) / (2a)

The value b² − 4ac (the discriminant) determines the nature of the roots:

  • > 0 — two distinct real roots
  • = 0 — one repeated real root
  • < 0 — two complex conjugate roots
Continue reading →
Calculus

Fundamental Theorem of Calculus

This theorem links differentiation and integration:

∫ₐᵇ f(x) dx = F(b) − F(a)

Where F is any antiderivative of f, i.e. F′(x) = f(x). Consequences:

  • Integration and differentiation are inverse operations
  • Definite integrals reduce to antiderivative evaluation
  • Net signed area = difference of antiderivative values
Continue reading →
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