Notes 

Composite structure & types, critical fibre length, fibre volume fraction, isostrain/isostress, metal matrix, ceramic matrix, polymer matrix

This is absolutely not a cheat sheet... We do not endorse cheating at all! It's just a better name than "List of vital but forgettable...

Reversible & irreversible processes, heat engines, actual vs ideal efficiency, Clausius' & Kelvin-Planck statement and improving efficiency.

The Clausius Inequality, Entropy, Temperature-Entropy T-S diagrams, enthalpy-entropy h-s diagrams, isotropic (adiabatic) efficiency.

Hooke's law, modulus of elasticity, elastic potential energy, elastic collisions in one and two dimensions, direct impact, oblique impact.

The impulse-momentum principle, the principle of conservation of momentum, the work-energy principle, potential & kinetic energy, power.

Adding, subtracting & multiplying complex numbers, complex equations, locust of points, modulus-argument & exponential form and de Moivre's.

Proof by mathematical induction with sums, proving divisibility results and proof with matrices.

Sums of natural numbers, squares & cubes, the method of differences, the Maclaurin series expansion and standard results.

Won't lie, this topic isn't particularly fun. It's just a whole lot of algebra and equations that you need to know and get right. At...

Vector & Cartesian equations for lines & planes, scalar product, angles between lines & planes, points of intersection and perpendiculars.

Improper integrals, converging/diverging integrals, mean value of functions, inverse trigonometry, partial fractions & volumes of revolution

Converting between polar and Cartesian systems, sketching polar curves, finding area enclosed by polar curves and finding tangents.

Hyperbolic functions as exponential functions, hyperbolic graphs, inverse hyperbolic functions, integrating & differentiating hyperbolics.

Matrix addition & multiplication, determinants, inverse matrices, matrix systems & geometry, reflections, rotations, stretches & reverses.

Integrating factor, second-order homogeneous and non-homogeneous differential equations, simple harmonic motion and coupled simultaneous.

Modelling assumptions, scalar & vector quantities, SI base units & derived units, weight, and representing forces on free body diagrams.

Velocity is the rate of change of an object's position, and therefore has direction. This makes it a vector quantity, unlike speed which...

Newton's Laws, F=ma, forces in two dimensions, moments, equilibrium, tilting, friction, static rigid bodies, connected particles and pulleys

To start off with, there is some terminology you need to be familiar with. A population is the whole set of items that are of interest A...