# Edexcel FP2 Further Pure Maths

### Inequalities

Fractional Inequalities

• Example 1
• Example 2

Modulus Inequalities (including fractional types)

### Series

Method of Differences

### Further complex numbers

de Moivre's Theorem

• de Moivre's theorem
• Expressing sin nθ and cos nθ in terms of sinθ and cosθ
• Expressing sinnθ and cosnθ in terms of sinkθ and coskθ
• nth roots of a complex number

Loci in the complex plane

Transformations of the complex plane

### First order differential equations

Separating the variables (Revision)

Family of curves

Exact equations (integrating factors)

Substitution types

### Second order differential equations

Equations of the form a d²y/dx² + b dy/dx + cy = 0

Equations of the form a d²y/dx² + b dy/dx + cy = f(x)

Using a Substitution

### Maclaurin and Taylor series

Maclaurins series

Taylor's series

### Polar coordinates and curves

Coordinates

Equations of Curves

• Sketching the polar equation of:

Area Bounded by a Polar Curve

Tangents

### Exam Papers

June 2010 Paper + Markscheme Only Paper + Video Worked Solutions Paper + Video Worked Solutions Paper + Video Worked Solutions Paper + Video Worked Solutions

## Other Modules

C1 | C2 | C3 | C4 | M1 | M2 | S1 | S2 | FP1 | FP2 | FP3