Formulas

LevelsL0L1L2L3

L2Common probability distributions
$E[X] = np, \quad \operatorname{Var}(X) = np(1-p)$ Practise
L2Improper integrals
$\int_1^{\infty} x^{-p}\,dx = \frac{1}{p-1} \quad (p>1)$ Practise
L3Classification of PDEs: parabolic, hyperbolic, elliptic
$\Delta = B^2 - 4AC$ Practise
L3Hypothesis testing
$z = \frac{\bar{x} - \mu_0}{s / \sqrt{n}}$ Practise
L3Point and interval estimation
$E = z \cdot \frac{s}{\sqrt{n}}$ Practise
L3Tensor algebra and curvilinear coordinates
$\Delta s \approx \sqrt{(\Delta r)^2 + r^2(\Delta\theta)^2}$ Practise