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EGM6341_syllabus for 2009

# EGM6341_syllabus for 2009 - EGM 6341 Instructor Textbook...

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EGM 6341 Numerical Methods of Engineering Analysis Instructor : Dr. Renwei Mei, [email protected] 307 Nuclear Science Building, Ph. 2-0888 Textbook : An Introduction to Numerical Analysis, 2 nd Ed by Kendall E. Atkinson Office Hour: 1:00-2:30 pm TuTh Detailed Lecture Notes will be available for each chapter. COURSE CONTENTS 1. Introduction Math review (mean value theorems, Taylor series expansion, Fourier transform) Computer Arithmetic and Errors (roundoff error, truncation error, floating point arithmetic significant digits, absolute and relative errors, error propagation) 2. Root finding Bisection method, Newton's method, secant method, method of false position (regula falsi), successive iteration method, repeated roots. 3. Solving sets of linear equations Matrix review, norm, Gauss elimination and Gauss-Jordan method, L-U decomposition, Determinant and matrix inversion, condition number, iterative methods. 4. Interpolation methods Method of undetermined coefficient, Lagrangian interpolation, Newton’s divided

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EGM6341_syllabus for 2009 - EGM 6341 Instructor Textbook...

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