Integration by parts.

Equilibrium of a rigid body.  Find tension to raise a pole.

Rewriting expressions of the form $n\log(a)\pm m\log(b)$ as a single logarithm.

Skills Audit for Maths and Stats for MAS005 Science and Engineering Foundation Year students who have already studied A-level maths.

Homework set.  Find 2-D moments or balance moments using Verignon's theorem:  $ M = \pm F_x d_y \pm F_y d_x$

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Finding the resistance in a simple parallel RL circuit.

Finding the inductance in a simple series RL circuit.

Finding the inductive current in a simple parallel RL circuit.

Finding the current in a simple parallel RL circuit.

Finding the resistive voltage in a simple series RL circuit.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Calculating the derivative of a function of the form $(ax+b)^n$ using the chain rule.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

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Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Simple exercise in collecting terms in different powers of \(x\)

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Homework set.  Problems involving two interacting particles.

Homework set.  Variations on problems involving single particle equilibrium.

Homework set.  Vector addition in two dimensions by summing scalar components.

Homework set.  Determine the moment of a force using the definition of the moment, $M = F d_\perp$.

Replace three tangential forces with an equivalent force-couple system acting at the center of a circle.

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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