Pade (Rational Function) Approximation

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• Pade Approximation

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• Pade approximation

  350796 Pade approximation guidance Create version of sine function using Pade approximation. Please take a look at the two MATLAB files. The first is my version of the "mysine" program. The while and if loops were a bit of a challenge.

• Numerical Methods : Pade Approximation

  In the attached Matlab script pades.m, Pade approximation is calculated using Symbolic Math Toolbox, and tested by plotting the original function and its approximation.

• Linear approximation

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• Linear approximation

  )=x^a y^B=1+a(x-1)+B(y-1) This shows how to write a linear approximation of a function at a point.

• Fourier Series : Least-Squares Approximation and Mean Square Error

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• Estimating a Cube Root by Linear Approximation

  Let our function be f(x) = x^1/3 We know that f(27) = 27^1/3 = 3 Thus if we want to calculate ³√29, we need to know the derivative of this function, which is? A cube root is estimated by linear approximation.

• General Calculus Questions : Definition of a Limit and Derivative, Product Rule, Tangent Line Approximation, Taylor Polynomial, Newton's Method, L'Hopital's Rule, MVT, IVT, Fundamental Theorem

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• Legendre polynomials and least-square approximation

  This shows how to find the least-squares approximation for a function.