Math Topics
Explore mathematical concepts, formulas, and examples across every subject.
Arithmetic
(4)Fractions
A fraction represents a part of a whole. It consists of a numerator (top) and denominator (bottom). Understanding fractions is foundational for all higher mathematics.
Learn moreDecimals
Decimals are another way to represent fractions, using place values based on powers of 10.
Learn morePercentages
A percentage expresses a number as a fraction of 100. It is used everywhere in daily life — discounts, interest, statistics.
Learn moreRatios
A ratio compares two or more quantities. Ratios can be written as a:b, a/b, or "a to b".
Learn moreAlgebra
(5)Linear Equations
A linear equation is an equation of the first degree — the highest power of the variable is 1. It graphs as a straight line.
Learn moreQuadratic Equations
A quadratic equation has the form ax² + bx + c = 0. It can have two, one, or zero real solutions.
Learn morePolynomials
A polynomial is an expression of multiple terms with variables raised to non-negative integer powers.
Learn moreFunctions
A function is a relation that assigns each input exactly one output. Functions are central to all of mathematics.
Learn moreSystems of Equations
A system of equations is a set of equations with multiple variables that are solved together.
Learn moreGeometry
(6)Angles
An angle is formed by two rays sharing a common endpoint. Angles are measured in degrees or radians.
Learn moreTriangles
A triangle is a polygon with three sides. The angles sum to 180°.
Learn moreCircles
A circle is the set of points equidistant from a center point. It is defined by its radius or diameter.
Learn moreArea
Area measures the amount of space inside a two-dimensional shape.
Learn moreVolume
Volume measures the amount of space inside a three-dimensional object.
Learn moreCoordinate Geometry
Coordinate geometry uses a coordinate plane to describe geometric shapes algebraically.
Learn moreTrigonometry
(3)Trigonometric Identities
Trigonometric identities are equations involving trigonometric functions that are true for all values.
Learn moreSine, Cosine, Tangent
The basic trigonometric ratios relate angles to sides of right triangles.
Learn moreInverse Trigonometric Functions
Inverse trig functions find the angle given a trig ratio.
Learn moreCalculus
(5)Limits
A limit describes the value a function approaches as the input approaches some value.
Learn moreDerivatives
A derivative measures the instantaneous rate of change of a function.
Learn moreIntegrals
Integration is the reverse of differentiation. It computes accumulated quantities and areas.
Learn moreDifferential Equations
A differential equation relates a function to its derivatives.
Learn moreSeries
A series is the sum of a sequence of terms. Taylor and Maclaurin series approximate functions.
Learn moreLinear Algebra
(4)Vectors
A vector has both magnitude and direction. Vectors are fundamental in physics and linear algebra.
Learn moreMatrices
A matrix is a rectangular array of numbers used to represent linear transformations and systems.
Learn moreDeterminants
The determinant is a scalar value computed from a square matrix that reveals properties of the matrix.
Learn moreEigenvalues and Eigenvectors
An eigenvector of a matrix is a vector that only scales when the matrix is applied. The scaling factor is the eigenvalue.
Learn moreStatistics
(4)Probability
Probability measures how likely an event is to occur, ranging from 0 (impossible) to 1 (certain).
Learn moreProbability Distributions
A probability distribution describes how probabilities are distributed over values of a random variable.
Learn moreRegression
Regression analysis estimates relationships among variables, most commonly fitting a line to data.
Learn moreHypothesis Testing
Hypothesis testing uses sample data to evaluate claims about a population.
Learn more