Part 1: multiply a 3D vector by an integer scalar
Part 2: perform scalar multiplication and subtraction in one expression with two 3D vectors

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

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

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.