\begin{theindex}

  \item $n$th term, 63
  \item (signed) area between the graph, 7

  \indexspace

  \item anti-derivative, 10
  \item average value, 23

  \indexspace

  \item Calculus, 5
  \item chain rule, 12
  \item common ratio, 72
  \item complete the square, 46
  \item complex exponentials, 41
  \item converges absolutely, 72

  \indexspace

  \item definite integral, 8
  \item displacement, 11
  \item diverges, 65
  \item done its job, 18

  \indexspace

  \item Euler product, 66
  \item even function, 14

  \indexspace

  \item geometric series, 65

  \indexspace

  \item harmonic series, 69

  \indexspace

  \item incredibly brilliant, 13
  \item interval of convergence, 77

  \indexspace

  \item left endpoints, 53

  \indexspace

  \item midpoints, 54
  \item multiplicity of a zero, 48

  \indexspace

  \item odd function, 14

  \indexspace

  \item polar form, 30
  \item polar graph, 26
  \item pole, 49
  \item power rule, 12
  \item power series, 75
  \item power series centered at, 76

  \indexspace

  \item radius of convergence, 77
  \item rational function, 49
  \item Riemann Hypothesis, 66
  \item Riemann sum, 17
  \item Riemann zeta function, 66
  \item rightpoints, 54

  \indexspace

  \item sequence, 63
  \item sequence converges, 64
  \item Simpson's approximation, 54
  \item sum of the series, 65

  \indexspace

  \item total distance traveled, 12
  \item trapezoid approximation, 54

  \indexspace

  \item velocity, 11

\end{theindex}