# Hyper-FLAP mathematics modules

- Arithmetic and algebra | Numbers, units and physical quantities | Functions and graphs | Solving equations | Exponential and logarithmic functions | Trigonometric functions | Series expansions and approximations |

- Introducing geometry | Introducing co-ordinate geometry | Conic sections | Introducing scalars and vectors | Working with vectors | The scalar product of vectors | The vector product of vectors |

- Introducing complex numbers | Polar representation of complex numbers | Complex algebra and de Moivre's theorem |

- Introducing differentiation | Basic differentiation | Further differentiation | Stationary points and graphing | Taylor expansions and polynomial approximations | Hyperbolic functions and differentiation |

- Introducing integration | Basic integration | Techniques of integration | Applications of integration | Further integration |

- Introducing differential equations | Solving first order differential equations | Solving second order differential equations | Waves and partial differential equations

*Copyright: Open University and the University of Reading*