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Titlebook: Numerical Methods with Worked Examples: Matlab Edition; C. Woodford,C. Phillips Textbook 2012Latest edition Springer Science+Business Medi

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Optimisation,The grid search and golden section methods for finding the maximum (or minimum) of a function of a single variable. The method of steepest descent and the rank-one method for functions of several variables and the penalty function, the Lagrangian and Lagrange multipliers for constrained problems.
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Ordinary Differential Equations,Euler’s method and the Runge–Kutta methods for initial-value problems. For boundary value problems, the garden hose method (also known as shooting) and a method using difference equations based on numerical differentiation formulae.
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Eigenvalues and Eigenvectors,The physical relevance and importance of eigenvalues and eigenvectors. The power method and the QR method for calculating all or individual eigenvalues and eigenvectors of a given matrix.
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Statistics,Statistical terms and concepts associated with data processing. Calculating correlation coefficients and the significance of Chebyshev’s theorem. Statistical estimates of the accuracy of least squares straight line approximation. The production of random numbers and the Monte Carlo method for numerical integration.
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Linear Programming,for solving linear programming problems and its use in the branch and bound method for solving integer programming problems. The travelling salesman problem, as it is known and the machine scheduling problem.
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