Mathematical Terms

Mathematical terms are words or phrases that have specific meanings within the context of mathematics. Here are some commonly used terms:

Algebra

  • Variable: A symbol, usually a letter, that represents one or more numbers.
  • Coefficient: A number used to multiply a variable.
  • Equation: A statement that two mathematical expressions are equal.
  • Inequality: A statement that one mathematical expression is less than or greater than another.
  • Expression: A combination of numbers, variables, and operations.
  • Polynomial: An expression consisting of variables and coefficients, involving operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Geometry

  • Angle: A figure formed by two rays with a common endpoint.
  • Triangle: A polygon with three edges and three vertices.
  • Circle: A round plane figure whose boundary consists of points equidistant from a fixed center.
  • Perimeter: The distance around a two-dimensional shape.
  • Area: The amount of space inside a two-dimensional shape.
  • Volume: The amount of space inside a three-dimensional shape.

Calculus

  • Limit: The value that a function approaches as its input approaches a certain value.
  • Derivative: A measure of how a function changes as its input changes.
  • Integral: The area under a curve where the curve is defined by a function.
  • Differential Equation: An equation involving a function and its derivatives.

Statistics

  • Mean: The sum of all data points divided by the number of data points. It is also known as the average.
  • Median: The middle value when a data set is ordered from least to greatest.
  • Mode: The value that appears most frequently in a data set.
  • Standard Deviation: A measure of the amount of variation or dispersion in a set of values.

Logic

  • Proposition: A statement which is either true or false.
  • Truth Table: A table showing all possible truth values for a set of propositions.
  • Logical Connectives: Symbols used to connect propositions together to give a compound proposition.