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Chapter 2 Numerical Solutions to Non-linear Equations 19 1 Introduction 19 2 The Bisection Algorithm 20 3 Newton-Raphson’s Algorithm 22 4 The Secant Algorithm 24 5 Fixed Points 26 6 Annex: Matlab/Octave Code 32 Chapter 3 Numerical Solutions to Linear Systems of Equations 35 1 Gauss’ Algorithm and LU Factorization 35 2

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Based on the textbook on “Applied Engineering 1) Numerical solutions are available only at selected (discrete) solution points but not at all points