Math — Numerical Methods
Trapezoidal & Simpson integration, Newton–Raphson, central difference.
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\int_a^b f\,dx \approx \frac{h}{2}\Big[f_0 + 2\textstyle\sum f_i + f_n\Big]
\int_a^b f\,dx \approx \frac{h}{3}\Big[f_0 + 4f_1 + 2f_2 + \cdots + f_n\Big]
x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}
f'(x) \approx \frac{f(x+h) - f(x-h)}{2h}