math
Cauchy's Integral Theorem
$$\oint_C f(z)dz = 0$$
Laplace's Equation
$$\nabla^2 f = \nabla \cdot \nabla f = 0$$
Fundamental Theorem of Calculus
$$\int_a^b f(x) dx = F(b) - F(a)$$
Pythagorean Theorem
$$a^2 + b^2 = c^2$$
Maclaurin Series for exp(x)
$$e^x = \sum_{n=0}^\infty \frac{x^n}{n!}$$
Quadratic Formula
$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
Euler's Identity/Formula
$$e^{i\pi} = -1$$
Trig functions in terms of e
$$\small{\sin(x) = \frac{e^{ix} - e^{-ix}}{2i}, \cos(x) = \frac{e^{ix} + e^{-ix}}{2}}$$