International A Level (IAL)MathsEdexcelPure 4Revision Notes

Edexcel International A Level (IAL) Maths: Pure 4
Revision Notes

Concise resources for the Edexcel International A Level (IAL) Maths: Pure 4 course.

Proof

Proof by Contradiction

Algebra & Functions

Partial Fractions with Linear Denominators

Partial Fractions with Squared Linear Denominators

Binomial Expansion

General Binomial Expansion

Subtleties of the General Binomial Expansion

Multiple General Binomial Expansions

Approximating Values using the Binomial Expansion

Differentiation

Connected Rates of Change

Implicit Differentiation

Integration

Integration by Substitution

Harder Substitution

Integration by Parts

Integration using Partial Fractions

Volumes of Revolution

Adding & Subtracting Volumes

Modelling with Volumes of Revolution

Integration Decision Making

General Solutions

Particular Solutions

Separation of Variables

Modelling with Differential Equations

Solving & Interpreting Differential Equations

Parametric Equations

Basics of Parametric Equations

Eliminating the Parameter of Parametric Equations

Sketching Graphs of Parametric Equations

Parametric Differentiation

Parametric Integration

Parametric Volumes of Revolution

Vectors

Magnitude & Direction

Vector Addition

Position Vectors

Problem Solving using Vectors

Vectors in 3 Dimensions

Problem Solving using 3D Vectors

Equation of a Line in Vector Form

Parallel, Intersecting & Skew Lines

The Scalar (Dot) Product

Uses of the Scalar Product

Exam boards

Study tools

Related links