This is the Further Pure Mathematics 2 module of the A-level Mathematics book. This module assumes that you are familiar with the modules C1, C2, C3, C4 and FP1. Please post all questions to A-level Mathematics/Discussion.

Contents

1. Rational Functions and Graphs
2. Polar Coordinates
3. Hyperbolic Functions
4. Complex Differentiation
5. Complex Integration
6. Numerical Methods

Formulae

By the end of this module you will be expected to have learnt the following formulae:

• ${\displaystyle \cosh x\equiv {\frac {1}{2}}(e^{x}+e^{-x})}$
• ${\displaystyle \sinh x\equiv {\frac {1}{2}}(e^{x}-e^{-x})}$
• ${\displaystyle \tanh x\equiv {\frac {\sinh x}{\cosh x}}}$