Calculus II

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Index

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Calculus II

Definition

An index is a variable used to denote the position of an element within a sequence or array, often used in summation notation. In integration, indices help identify terms in approximations like Riemann sums.

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5 Must Know Facts For Your Next Test

  1. Indices are commonly denoted by letters such as i, j, or k.
  2. In Riemann sums, the index i indicates the subinterval being considered.
  3. The upper and lower bounds of summation are defined using indices.
  4. Changing the index in a summation does not affect the sum's value.
  5. Indices help simplify notation for series and sequences in integral approximations.

Review Questions

  • What role does the index play in a Riemann sum?
  • How does changing an index affect a summation?
  • Why are indices important for defining the bounds of summation?
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