Identify parts of the equation for a $t$-score.

Identify parts of the equation for a $z$-score.

Simplifying indices

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Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

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Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Find the coordinates of the stationary point for $f: D \rightarrow \mathbb{R}$: $f(x,y) = a + be^{-(x-c)^2-(y-d)^2}$, $D$ is a disk centre $(c,d)$.

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Factorising basic quadratics into linear expressions

Factorising further basic quadratics into linear expressions

Factorising further quadratics into linear expressions

Factorising further quadratics into linear expressions using the formula

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$.

Find the critical point  $(0,a)$ of the function: $f(x,y)=ax^3+bx^2y+cy^2+dy+f$ and find its type using the test given by the Hessian matrix.

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Using the chain rule with polynomials

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The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.

Multiplication of $2 \times 2$ matrices.