Everything you need to know for your C2 exam in one place.

Textbook Chapter Topic |
Learning Outcomes Students should be able to: |
More details |
---|---|---|

Chapter 7 Sequences and Series |
Understand the definitions and notation used to describe sequences | Arithmetic sequences, geometric sequences, oscillating sequences and periodic sequences. |

Interpret arithmetic sequences and series | Notation and sum to n terms | |

Interpret geometric sequences and series | Notation, sum to n terms, infinite geometric series. | |

Chapter 8 Differentiation |
Find the gradient of a curve | Tangents and Chords, first principles, the gradient of a function. |

Use alternative notation | Standard derivatives, sums and differences of functions. | |

Find tangents and normals | Relates back to y = mx + c in C1 | |

Find maximum and minimum points | Gradient at a turning point, increasing and decreasing functions | |

Find stationary points | ||

Find higher derivatives | Using the 2nd derivative, points of inflexion | |

Apply differentiation | Applications to business, mechanics etc | |

Chapter 9 Integration |
Reverse differentiation | Particular solutions, integrating |

Find the area under a curve | Notation, area as the limit of a sum, definite and indefinite integrals | |

Find areas below the x axis | ||

Find the area between two curves | ||

Find the area between a curve and the y axis | ||

Use numerical integration | The trapezium rule | |

Chapter 10 Trigonometry |
Use trigonometrical functions | Angles of elevation and depression, bearings, special cases, positive and negative angles, identities for sinθ, cosθ and tanθ, graphs of sine, cosine and tangent, solving equations using the graphs. |

Deal with triangles without right angles | The sine rule | |

Use the cosine rule | ||

Find the area of a triangle | ||

Understand the radian measure | ||

Find arc lengths and areas of sectors | ||

Transform trigonometrical graphs | Translations, one way stretches | |

Chapter 11 Logarithms and Exponentials |
Logarithms | Laws of logarithms, graphs of logarithms, exponential functions |

Model curves | Relationships in the form , exponential relationships | |

Chapter 12 Further Differentiation and Integration |
Differentiate more functions | |

Integrate more functions | , differential equations |