FocusMathFind your next step
Reference library

Definitions, formulas, and examples

Open a topic for formulas, definitions, examples, and related tools.

9 formulas · 12 definitions

Algebra & Functions

Expressions, function language, transformations, polynomial structure, and common graphs.

2 worked examples
Open reference
15 formulas · 0 definitions

Trigonometry & Geometry

Angle relationships, identities, right-triangle methods, perimeter, area, surface area, and volume.

1 worked example
Open reference
15 formulas · 11 definitions

Calculus

Limits, continuity, derivatives, curve analysis, antiderivatives, integrals, and major theorems.

9 theorem checks1 worked example
Open reference
9 formulas · 7 definitions

Financial Mathematics

Simple and compound interest, present value, annuities, perpetuities, and effective rates.

1 worked example
Open reference
11 formulas · 7 definitions

Probability & Statistics

Counting, conditional probability, distributions, expected value, variation, z-scores, and regression.

1 worked example
Open reference
10 formulas · 10 definitions

Vectors, Lines & Planes

Magnitude, direction, products, projections, linear dependence, and 3D geometry.

1 worked example
Open reference
6 formulas · 5 definitions

Sequences & Series

Arithmetic and geometric patterns, finite and infinite sums, limits, convergence, and bounds.

2 theorem checks1 worked example
Open reference

Comparison tables

Line equations in 2D/3D

Vector · Parametric · Scalar (2D) · Symmetric

View table

Financial models

Simple interest · Compound interest · Ordinary annuity · Annuity due · Perpetuity · Continuous compounding

View table

Common probability distributions

Binomial · Geometric · Hypergeometric · Normal

View table