MATE 3201 Engineering Mathematics 4 Exam 2020

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MATE 3201: Second Semester Examination 2019/2020, University of Bamenda, National Higher Polytechnic Institute, Lecturer Prof. GEH Wilson E., 19 July 2020, numerical methods: Exercise 1, types/sources of numerical error, IEEE-754 double precision bit layout, Gauss 3-point quadrature, fixed-point iteration for a cubic, Newton's method structure, quadratic Lagrange interpolation of ln9.2; Exercise 2, Simpson's rule, Trapezoidal rule and error bound, Newton's divided-difference algorithm; Exercise 3, matrix order/operation count, LU-factorization of a symmetric 3x3 system, matrix-multiplication complexity, Gaussian elimination complexity; Exercise 4, improved Euler method, Newton's backward-difference formula and the fourth-order Adams-Bashforth derivation, and the Runge-Kutta fourth-order algorithm.