Mathematics

Functions map each input to one output. Example: $f(x)=2x+3$ gives $f(1)=5$ and $f(2)=7$.

5 lessons

Derivatives measure rate of change (slope). Example: $\frac{d}{dx}{x}^3=3x^2$.

5 lessons

Quantities with magnitude AND direction. Example: $\vec{a}=(3,4)$ has length $\sqrt{3^2+4^2}=5$.

5 lessons

How likely events are, plus mean / variance. Example: $P(\text{rolling a 6})=\frac{1}{6}$.

5 lessons

Numbers built from $i=\sqrt{-1}$. Example: $(2+i)(1-i)=3-i$.

5 lessons

Geometry in 3D space — distances, volumes, diagonals. Example: distance from $(0,0,0)$ to $(3,4,12)$ is $13$.

5 lessons

Ordered lists of numbers with a rule. Example: arithmetic $2,5,8,11,\dots$ has common difference $d=3$.

5 lessons

Equations of the form $a{x}^2+bx+c=0$. Example: $x^2-5x+6=0$ has solutions $x=2$ and $x=3$.

2 lessons

Sin, cos, tan of angles plus identities. Example: $\sin 30°=\frac{1}{2}$ and ${\sin }^2\theta +{\cos }^2\theta =1$.

2 lessons

Set notation plus inequality solving. Example: if $A=\{1,2,3\}$ and $B=\{2,3,4\}$ then $A\cap B=\{2,3\}$.

2 lessons