## Additional MathematicsThis textbook follows closely the latest syllabus issued by the Ministry of Education, Singapore. It emphasises the understanding of mathematical concepts using a clear and systematic approach. |

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Additional Mathematics

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I first want to thank you for including 'sets' and 'Permutations and Combinations'. But the arrangement of the material on straight line graphs and coordinate geometry is a bit disjointed. I tend to favour the arrangement in the 6th Edition of the same title. If the material was as it is in the earlier book but merely enriched, the book would have been a complete replacement. In this publication 'Co-ordinate Geometry' is somewhat obscured.

### Contents

Sets | 1 |

Functions | 33 |

Quadratic Functions | 76 |

Indices and Surds | 98 |

Simultaneous Equations | 122 |

Revision Paper 1 | 128 |

Revision Paper 2 | 129 |

Factors of Polynomials | 131 |

Binomial Expansions | 270 |

Vectors | 289 |

Matrices | 333 |

Revision Paper 5 | 362 |

Revision Paper 6 | 363 |

Differentiation | 365 |

Applications of Differentiation | 384 |

Integration | 416 |

Logarithmic and Exponential Functions | 146 |

Straight Line Graphs | 177 |

Circular Measure | 207 |

Revision Paper 3 | 223 |

Revision Paper 4 | 224 |

Trigonometry | 225 |

Permutations and Combinations | 255 |

Further Differentiation and Integration | 444 |

Application of Differentiation and Integration to Kinematics | 468 |

Revision Paper 7 | 490 |

Revision Paper 8 | 491 |

ANSWERS | 493 |

### Common terms and phrases

ABCD acceleration Answers ascending powers basic angle binomial binomial coefficients Calculate circle coefficient constant cos2 Differentiate divided domain Draw the graph elements Example 11 expansion Exponential Functions expression factor Find the area Find the coordinates Find the range find the value function f Given that f gradient Hence find integral intersection km h length logarithms Maths Booster matrix maximum midpoint minimum point minimum value multiple obtain parallel parallelogram particle Pascal's Triangle perpendicular plotted position vectors possible values prefer a computer quadratic equation quadratic function radians radius range of values ratio real roots remainder Revision Exercise sec2 shaded region shows Simplify simultaneous equations sin2 Sketch the graph Solution Solve the equation speed stationary point straight line graph subset subset of set surd tangent triangle Trigonometric Functions units2 velocity Venn diagram