A-level Mathematics/OCR/FP2

This is the Futher 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 Template:Stage short
2. Polar Coordinates Template:Stage short
3. Hyperbolic Functions Template:Stage short
4. Complex Differentiation Template:Stage short
5. Complex Integration Template:Stage short
6. Numerical Methods Template:Stage short

Formulae

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

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