Numerical Methods - Emel Yavuz Duman, PhD [PDF]

... Backward and Centered Differences NUMERICAL DIFFERENTIATION AND INTEGRATION Numerical Differentiation Richardson's E

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Emel Yavuz, PhD - "The highest form of pure thought is in mathematics” Plato

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MCB1008 Numerical Methods Content

MATHEMATICAL PRELIMINARIES and ERROR ANALYSIS Review of Calculus Roundoff Errors and Computer Arithmetic SOLUTIONS OF EQUATIONS IN ONE VARIABLE The Bisection Method Fixed-Point Iteration The Newton's Method The Secant Method The Method of False Position Error Analysis for Iterative Methods INTERPOLATION AND POLYNOMIAL APPROXIMATION Interpolation and the Lagrange Polynomial Data Approximation and Neville's Method Divided Differences Forward, Backward and Centered Differences NUMERICAL DIFFERENTIATION AND INTEGRATION Numerical Differentiation Richardson's Extrapolation Elements of Numerical Integration, the Trapezoidal and Simpson's Rule Newton-cotes Formulas Composite Numerical Integration

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2012 First Midterm

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