These are what you are expected to be able to solve BEFORE undergoing university education.

Differential Calculus

Integral Calculus

Annoying Integral Calculus

Complex Numbers

Trigonometry

Vector Calculus

Let a⃗:=\begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}.

Let b⃗:=\begin{pmatrix} 4 \\ 5 \\ 6 \end{pmatrix}.

Let c⃗:=\begin{pmatrix} 7 \\ 8 \\ 9 \end{pmatrix}.

Greek Alphabet

Mathematical Symbols (don't need to know all of them, but at least the names of most)