Calculus for Engineering I

## Syllabus

Extra Information

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You may see your final exam papers on 05.06.2018 between 13:00-15:00 at Amphi 3!

**Resit: **13.06.2018 at 12:30, NA-01.

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Exam content of Make-up exam will cover the whole semester. Resit exam content will be similar to the final exam.

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**A C T I V I T I E S**

# Syllabus

WEEK |
DATES |
TOPICS |
CHAPTERS |
---|---|---|---|

1 | Lines, Circles, Functions, Graphs. | 1.1 - 1.2 | |

2 | Trigonometric, Exponential, Inverse and Logarithmic Functions. | 1.3 - 1.6 | |

3 | Limits | 2.1 - 2.3 | |

4 | One Sided Limits, Continuity | 2.4 - 2.5 | |

5 | Limits Involving Infinity | 2.6 | |

6 | Derivative | 3.1 - 3.6 | |

7 | Implicit Differentiation, Derivatives of Inverse Trigonometric Functions | 3.7 - 3.9, 3.11 | |

8 | Extreme Values, First Derivative Test | 4.1 - 4.3 | |

9 | Concavity, Curve Sketching | 4.4 | |

10 | Indeterminate Forms, Optimization | 4.5 - 4.6 | |

11 | Integrals | 4.8 - 5.4 | |

12 | Substitution, Areas | 5.6, 8.1 | |

13 | Trigonometric Integrals | 8.2 - 8.3 | |

14 | Partial Fractions, Improper Integrals | 8.4, 8.7 |