Calculus

Revision for “Calculus” created on April 15, 2015 @ 18:18:08

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Calculus
<ul>
<li>finite difference</li>
<li>differentiation using Ridders’ method</li>
<li>derivaties of functions for:
<ul>
<li>Beta</li>
<li>Beta Regularized</li>
<li>Erf</li>
<li>Gamma</li>
<li>Gaussian</li>
</ul>
</li>
<li>multivariate differentiation:
<ul>
<li>(bordered) Hessian</li>
<li>gradient</li>
<li>Jacobian</li>
</ul>
</li>
<li>Riemann integration</li>
<li>Riemann integration using substitution rules:
<ul>
<li>Double-Exponential rule</li>
<li>Exponential rule</li>
<li>Power law singularity</li>
<li>Map to the Standard interval</li>
</ul>
</li>
<li>integration using Romberg’s method</li>
<li>integration using Newton-Cotes formula
<ul>
<li>Simpson’s rule</li>
<li>Trapezoidal rule</li>
<li>Midpoint rule</li>
</ul>
</li>
<li>integration using Gaussian quadrature
<ul>
<li>Legendre polynomials</li>
<li>Chebyshev polynomials</li>
<li>Laguerre polynomials</li>
<li>Hermite polynomials</li>
</ul>
</li>
</ul>



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