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 WORKSHEETS IN MAPLE INTRODUCTION TO SCIENTIFIC COMPUTING Measuring Errors True Error  [MAPLE]  Approximate Error  [MAPLE] Binary Representation Decimal to binary representation [MAPLE]  Binary to decimal representation [MAPLE] Measuring Errors Decimal to floating point representation [MAPLE]  Binary to floating point representation [MAPLE] Propagation of Errors Propagation of Errors  [MAPLE] Differentiation Continuous Functions Forward Divided Difference  [MAPLE]   Backward Divided Difference [MAPLE]  Central Divided Difference [MAPLE]  Continuous functions Second Order Derivative  [MAPLE] Discrete Data Discrete functions  [MAPLE] Nonlinear Equations Bisection Method Method [MAPLE] Convergence [MAPLE] Pitfall: Slow convergence of bisection method simulation [MAPLE] Newton-Raphson Method Method [MAPLE] Convergence [MAPLE] Pitfall: Division by zero [MAPLE] Pitfall: Slow Convergence at Inflection Points [MAPLE] Pitfall: Root jumps over several roots [MAPLE] Pitfall: Roots oscillates around local maxima and minima [MAPLE] Secant Method Simulation of secant method  [MAPLE] Convergence Simulation of secant method  [MAPLE] Pitfall: Division by zero in secant method simulation  [MAPLE] Pitfall: Root jumps over several roots in secant method  [MAPLE] SIMULTANEOUS LINEAR EQUATIONS Gaussian Elimination Method [MAPLE] Gauss-Seidel Method Method [MAPLE] Convergence [MAPLE] LU Decomposition Method [MAPLE] Interpolation Direct Method Method [MAPLE] Newton's Divided Difference Method Method [MAPLE] Lagrange Method Method [MAPLE] Spline Method Method [MAPLE] REGRESSION Linear Regression Method [MAPLE] Nonlinear Regression Without Data Linearization [MAPLE]  With Data Linearization [MAPLE]  Polynomial Regression [MAPLE]  Comparing with and without Data Linearization [MAPLE] Adequacy of a Regression Model Adequacy [MAPLE] Integration Trapezoidal Rule Method [MAPLE] Convergence [MAPLE] Simpson's 1/3rd Rule Method [MAPLE] Convergence [MAPLE] Romberg Rule Method [MAPLE] Convergence [MAPLE] Gauss-Quadrature Rule Method [MAPLE] Convergence [MAPLE] Integrating Discrete Functions Integrating discrete functions [MAPLE] ORDINARY DIFFERENTIAL EQUATIONS Euler's Method Method [MAPLE] Convergence [MAPLE] Runge-Kutta 2nd order Method Method [MAPLE] Convergence [MAPLE] Runge-Kutta 4th order Method Method [MAPLE] Convergence [MAPLE] Shooting Method Method [MAPLE] Finite Difference Method Method [MAPLE]

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