# A-level Mathematics/Edexcel/Core 4

## Core 4 (C4)[edit]

This A2 module is the fourth and final **core** mathematics module in the series. C4 requires knowledge from previous core modules (such as differentials from C3), and is assessed in a single 90 minute paper consisting of approximately 7 questions. The module consists of 6 main topic areas:

**•Partial Fractions**

- Addition and subtraction of algebraic fractions
- Splitting of a fraction into partial fractions
- Use/revision of algebraic division for improper fractions

**•Binomial Expansion**

- Binomial Expansion when n is a fraction or a negative number
- Binomial Expansion for (k+...) instead of (1+...) by taking out a factor of k
- Use of partial fractions to produce the Binomial Expansion of more difficult expressions

*In this topic, earlier C2 work on the Binomial Expansion is developed to include expansions involving fractions and negative numbers. Questions often require expressing problems in partial fraction form first.*

**•Co-ordinate Geometry**

- Use of parametric equations (using the parameter t) to define co-ordinates of points on a curve and solve related problems
- Conversion of parametric equations to cartesian equations
- Use of parametric equations to find the area under a curve

*Parametric equations are introduced here, and finding relationships between x and y via a parameter t is studied.*

**•Vectors**

**•Differentiation**

**•Integration**

*(this is usually resolved by taking the modulus of the f(x) result before we take the natural log of this)*

**Note**: *This book is so you can gain an alternative explanation for the concepts described and it should NOT replace your C4 textbook!*