Find the moment of a couple formed by two equal and opposite forces.

Solve an ODE by first writing it in canonical form.

Homework set.  Uniformly and uniformly varying distributed loads.

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The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Written for the Western Sydney University MESH numeracy preparation workshop for the LANTITE test (Australia). Students are given a height in centimetres and another height in metres, and are asked to write the ratio of the two heights in simplest form. There are 16 versions of this question.

perform a calculation involving negative indices.

Find the reactions for a beam with a uniformly varying distributed load.

Find the reactions for a beam with a uniformly distributed load.

Find the shear, normal force and bending moment at a point in a beam supporting a uniformly distributed load.

Rewrite the expression $\frac{cx+d}{(x+a)^2}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{(x+a)^2}$.

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

The table uses the spreadsheet extension.

Draw shear and bending moment diagram for  beam with a uniformly distributed load and a concentrated force

Skills Audit for Maths and Stats for MUS642 Students.

Shows how to mark a boolean expression, by checking all possible values of the free variables. There's an information step containing a reminder of the syntax for boolean operations.

Calculations involving Standard form.

Convert numbers between 0 and 1 intro standard form/scientific notation.

Convert numbers greater than 1 into standard form/scientific notation.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Rewriting a trigonometric expression of the form $A\cos(\theta)\pm B\sin(\theta)$ to either $R\sin(\theta+\alpha)$ or $R\cos(\theta+\alpha)$ by calculating $R$ and $\alpha$. 

Rewriting a trigonometric expression of the form $A\sin(\theta)-B\cos(\theta)$ to $R\sin(\theta-\alpha)$ by calculating $R$ and $\alpha$.

Calculating the integral of a function of the form $ax^2 \cos(bx)$ using integration by parts.