Interpolation can be compared with extrapolation, which estimates unknown values that extend beyond the known data, rather than values that fall in between known data points. Interpolation is a ...

Are there times when we use our reason—our ability for extrapolation and prediction ... but fails only with the application of advanced computational power as cases far beyond human abilities ...

Introduction and review of Taylor series. Finding roots of F(x)=0. Numerical interpolation and extrapolation. Curve fitting and nonlinear best fits. Numerical differentiation and integration.