## University Mathematics: A Textbook for Students of Science and Engineering |

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### Contents

Chap paRe I Revision | 1 |

Limits Convergence and Divergency of Series Exponential and Hyperbolic Functions Complex Numbers | 13 |

Partial Fractions and Summation of Series | 69 |

Differentiation 88 | 88 |

Integration | 123 |

Expansion of Functions in Power Series Maxima Minima and Points of Inflexion | 165 |

Tangents Normals Curvature Partial Differentia tion etc | 185 |

Determinants | 224 |

Conic SectionsThe Ellipse and Hyperbola | 286 |

The Polar and General Equation of a Conic | 328 |

Coordinate Geometry in Three DimensionsThe Plane and the Straight Line | 349 |

The General ConicoidSphere Cone etc | 386 |

Area under a Curve Volume of Revolution etc | 419 |

Firstorder Differential Equations | 442 |

Secondorder and Partial Differential Equations | 464 |

Answers to Examples | 507 |

Plane Coordinate GeometryThe Straight Line Circle and Parabola | 243 |

Index ___ ____ | 525 |