numbers

Even though numbers might seem like a pretty simple topic there is a lot of interesting things to be said about them. In this section we'll cover the whole scala of numbers from simple natural numbers to the imaginary unit and complex numbers and a bit of history on how we got here.

For a somewhat less math heavy and more lighthearted overview I can really recommend The Story of One which includes a lot more history but a lot less math notation.

calculus

Consider a function distance $f(t)$ then speed equals $\frac{\delta{f}}{\delta{t}}$. Likewise, considering a function height $y(x)$ then slope equals $\frac{\delta{y}}{\delta{x}}$. From this it's already apparent that calculus about thinking about how things change.

$y = x^n$

$y = \sin x$

$y = e^x$