MATE 3201 Engineering Mathematics 4 Exam 2019

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MATE 3201: Second Semester Examination 2018/2019, University of Bamenda, National Higher Polytechnic Institute, numerical methods: Exercise 1, Gauss 3-point quadrature, fixed-point iteration for a cubic, binary-to-decimal conversion algorithm, Newton's method for sqrt(2), linear Lagrange interpolation of ln9.2; Exercise 2, Trapezoidal rule with error bounds, Simpson's rule expression/error/algorithm; Exercise 3, Gaussian elimination and LU-factorization of a 3x3 linear system, and Cholesky factorization of a symmetric positive-definite system; Exercise 4, improved Euler method for an IVP, Newton's backward-difference formula and derivation of the fourth-order Adams-Bashforth multistep formula, and the Runge-Kutta fourth-order algorithm plus its extension to higher-order ODEs.