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Conference Object Romberg Integration(Springer-verlag Berlin, 2003) Yazici, A; Ergenç, T; Altas, IHigher order approximations of an integral can be obtained from lower order ones in a systematic way. For 1-D integrals Romberg Integration is an example which is based upon the composite trapezoidal rule and the well-known Euler-Maclaurin expansion of the error. In this work, Mathematica is utilized to illustrate the method and the underlying theory in a symbolic fashion. This approach seems plausible for discussing integration in a numerical computing laboratory environment.Conference Object Citation - WoS: 2Symbolic Polynomial Interpolation Using Mathematica(Springer-verlag Berlin, 2004) Yazici, A; Altas, I; Ergenc, TThis paper discusses teaching polynomial interpolation with the help of Mathematica. The symbolic power of Mathematica is utilized to prove a theorem for the error term in Lagrange interpolating formula. Derivation of the Lagrange formula is provided symbolically and numerically. Runge phenomenon is also illustrated. A simple and efficient symbolic derivation of cubic splines is also provided.
