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Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects.

Calculus is a college-level concept that would be first encountered in a Calculus I course. It is an Advanced Placement Calculus AB topic and is listed in the California State Standards for Calculus.


Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.
Integral: An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.
Limit: A limit is the value a function approaches as the variable approaches some point. If the function is not continuous, the limit could be different from the value of the function at that point.

Classroom Articles on Calculus I (Up to College Level)

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