Explore Discontinuity on MathWorld

A discontinuity is a point at which a function jumps suddenly in value, blows up, or is undefined. The opposite of continuity.

Discontinuity is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic.


Continuous Function: A continuous function is function with no jumps, gaps, or undefined points.

Classroom Articles on Calculus I (Up to College Level)

  • Calculus
  • Inflection Point
  • Chain Rule
  • Integral
  • Critical Point
  • Intermediate Value Theorem
  • Definite Integral
  • Limit
  • Derivative
  • Maximum
  • Extreme Value Theorem
  • Mean-Value Theorem
  • First Derivative Test
  • Minimum
  • Fundamental Theorems of Calculus
  • Newton's Method
  • Implicit Differentiation
  • Riemann Sum
  • Indefinite Integral
  • Second Derivative Test