## Mathematics Foundation Course: Finite differenced |

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absolute error bound absolute rounding-error bound approximate blunder calculate codomain column of differences computing consider constant function cubic function cubic polynomial Definition difference column difference table Differences Differences Differentiation divides the interval elements example Exercise f(xk finite difference methods fit the tabulated function of degree given graph Gregory-Newton formula Highway Code images induced binary operation Integration interpolation and extrapolation Joseph-Louis Lagrange last decimal place lbf/in2 Linear Algebra linear extrapolation linear function linear interpolation logarithm Main Text Mathematics Foundation Course mean proportional minutes natural numbers nth difference operator number in sequence obtain operator for spacing polynomial function polynomial interpolation polynomial of degree positive integer problem quadratic function quadratic polynomial real functions real numbers result round-off errors rounding errors second differences Sequences and Limits simultaneous equations sinx Solution spacing h straight line tabular points tabular values tabulated function wrong value xk+2 zero