## Calculus with Maple LabsThis text contains a consistent and complete exposition of a single variable calculus course for any university anywhere in the world. The readers will find transcendental functions introduced at the very beginning, the notion of a sequence and its limit studied before a limit of a function is introduced. Key Features: Theorems with complete proofs, numerous examples and practice problems of various order of difficulties Enlarged coverage of integration techniques with applications to geometric problems Systematic exposition of complex numbers merged into the main course, together with proof of the fundamental theorem of algebra and Cardans's formulas for solving algebraic equations of order 3 and 4 Set of Maple Labs, allows students to acquire the ability to use the Maple mathematical software for solving complex calculus problems |

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### Contents

Real Numbers | 1 |

Sequences | 56 |

Limit of a Function and Continuity | 100 |

Derivatives and Differentials | 159 |

Antiderivatives and Indefinite Integrals | 260 |

Definite Integrals | 339 |

Applications of Definite Integrals | 418 |

Infinite Series and Power Series | 478 |

Elements of Linear Algebra | 547 |

REFERENCES | 689 |

### Common terms and phrases

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