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Newton's Method

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Newton's method is an iterative method for numerically finding a root of a function.

Newton's method is a college-level concept that would be first encountered in a Calculus I course. It is listed in the California State Standards for Calculus.

Prerequisites

Algorithm: An algorithm is a specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point.
Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.
Root: For a mathematical function, a root is a set of arguments for which the function assumes the value of zero.

Classroom Articles on Calculus I (Up to College Level)

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