Pearson Edexcel IAL P4 Pure Mathematics 4 Notes

P4 Pure Mathematics 4 is an IA2 compulsory unit in Pearson Edexcel International A Level Mathematics. It completes the P1 to P4 pure sequence and develops advanced calculus, differential equations and three-dimensional vectors. You still need one valid applied pair to complete the full Mathematics award.

Use this page as an independent revision note for the current Issue 3 specification. If your registered award is Pearson IAL Pure Mathematics rather than Mathematics, use the Pure Mathematics P4 route note.

Official unit scope

1. Partial fractions and the binomial expansion for rational powers.
2. Parametric equations and implicit differentiation.
3. Advanced trigonometric identities and inverse trigonometric functions.
4. Integration by substitution, parts and partial fractions.
5. First-order differential equations and numerical integration.
6. Three-dimensional vectors and geometric reasoning.

Where P4 fits

• Level: IA2 compulsory pure unit for full IAL Mathematics.
• Revise first: P1 to P3 algebra, trigonometry, differentiation, integration and vectors.
• Complete the award: combine P1 to P4 with one valid applied pair shown on the Mathematics notes hub.
• Different award: P4 also appears in the separate Pure Mathematics qualification, where its role and cash-in route differ.

P4 formula booklet

Pearson provides the official Mathematical Formulae and Statistical Tables booklet for the examination. Use it while practising, but do not assume every identity, method or intermediate result is printed. Recognition, rearrangement and a clear chain of working still matter.

The specification assumes prerequisite knowledge stated for the unit, so later-unit questions may combine earlier methods without re-teaching them. Treat the list above as an integrated toolkit. A question can begin in one topic and finish in another, such as using algebra to form a model, calculus to optimise it and a graph to interpret the result.