The PAT syllabus comes with the health warning “revised 24 February 2014” at the top. You should be aware of the changes to the syllabus when you are going through the past paper, so that you don’t spend too much time looking at things that aren’t going to get asked in the actual test.
Using the wayback engine it is possible to compare the current syllabus with the old one, to see exactly what has changed. In summary: the Maths syllabus hasn’t changed at all; the Physics syllabus has been slimmed down and made more mathematical. Areas with relatively increased emphasis, and where you can expect more questions in future, are
- Mechanics. The mechanics paragraph itself hasn’t changed much apart from the addition of conservation of momentum (which was always implicitly there anyway). But if you look at the ‘natural world’ paragraph, you can see that it is now dominated by the sentence about circular orbits, which is just applied mechanics.
- Waves and optics. All the phrases ‘mathematical treatment not required’ have been removed. This means that there will be more mathematical questions dealing with refractive indices, total internal reflection, and presumably the ‘colour splitting’ effects that result from changes of refractive index with frequency.
- Electricity and magnetism. The phrase ‘mathematical treatment not required’ has been removed from the section about electrostatic and magnetic forces. I assume this means that you will need to be able to deal mathematically with the effect of electric and magnetic fields on a moving charge, which is another way of bringing in mechanics into the questions.
These three topics take up the whole syllabus apart from ‘problem solving’, and the rest of the ‘natural world’ topic (atomic structure; structure of the solar system; phases of the moon and eclipses; satellites; geostationary and polar orbits).
Areas that have been removed are:
- Everything to do with nuclear physics and radioactive decay.
- Everything to do with thermal properties of matter (e.g. gas laws, heat capacity, expansion).
If you want the full details, below we have the 2015 syllabus with the additions since 2012 in bold and the deleted sections since 2012 in
Syllabus for Part A of the aptitude test (mathematics for physics)
Elementary mathematics: knowledge of elementary mathematics, in particular topics in arithmetic, geometry including coordinate geometry, and probability, will be assumed.
Algebra: properties of polynomials, including the solution of quadratics. Graph sketching and transformations of variables. Inequalities and their solution. Elementary trigonometry including relationships between sin, cos and tan (sum and difference formulae will be stated if required). Properties of logarithms and exponentials. Arithmetic and geometric progressions and the binomial expansion.
Calculus: differentiation and integration of polynomials including fractional and negative powers. Differentiation as finding the slope of a curve, and the location of maxima, minima and points of inflection. Integration as the reverse of differentiation and as finding the area under a curve. Simplifying integrals by symmetry arguments.
Physics: knowledge of elementary physics will be assumed. Questions may require the manipulation of mathematical expressions in a physical context.
Syllabus for Part B of the aptitude test (physics)
Mechanics: distance, velocity, speed, acceleration, and the relationships between them. Interpretation of graphs. Response to forces; Newton’s laws of motion; weight and mass; addition of forces; circular motion. Friction, air resistance, and terminal velocity. Levers, pulleys and other elementary machines. Springs and Hooke’s law. Kinetic and potential energy and their inter-conversion; other forms of energy; conservation of energy and momentum; power and work.
Waves and optics: longitudinal and transverse waves; amplitude, frequency, period, wavelength and speed, and the relationships between them. Basic properties of the electromagnetic spectrum. Reflection at plane mirrors. Refraction and elementary properties of prisms and lenses including total internal reflection
(mathematical treatment not required). Elementary understanding of interference and diffraction (mathematical treatment not required).
Electricity and magnetism: current, voltage (potential difference), charge, resistance; relationships between them and links to energy and power. Elementary circuits including batteries, wires, resistors, filament lamps, diodes, capacitors, light dependent resistors and thermistors; series and parallel circuits. Elementary electrostatic forces and magnetism
(mathematical treatment not required). Links between electricity and magnetism; electromagnets, motors, generators and transformers. Current as a flow of electrons; thermionic emission and energy of accelerated electron beams.
Natural world: atomic
and nuclear structure; properties of alpha, beta and gamma radiation; half lives. Nuclear fission. Structure of the solar system. Phases of the moon and eclipses. Elementary treatment of circular orbits under gravity including orbital speed, radius, period, centripetal acceleration, and gravitational centripetal force. Satellites; geostationary and polar orbits. Elementary properties of solids, liquids and gases including responses to pressure and temperature.
Mathematics: knowledge of elementary mathematics will be assumed. Questions may require the manipulation of mathematical expressions in a physical context.
Problem solving: problems may be set which require problem solving based on information provided rather than knowledge about a topic.