Lecture 1 - Sections 1.1, 1.2,
1.3 |
Basic topics and elementary
facts about functions |

Lecture 2 - Sections 1.4,
1.5 |
Trigonometric and inverse
functions |

Lecture 3 - Sections 1.6, 1.7,
2.1 |
Exponential and logarithmic
functions, graphing calculators, introduction to limits |

Lecture 4 - Sections 2.2, 2.3,
2.4 |
Limits and continuity |

Lecture 5 - Sections 2.5, 2.6,
2.7 |
Evaluating limits algebraically,
trigonometric limits, limits at infinity |

Lecture 6 - Sections 2.8,
2.9 |
Intermediate value theorem,
formal definition of limit |

Lecture 7 - Sections 3.1, 3.2,
3.3 |
Definition of derivative,
product and quotient rules |

Lecture 8 - Sections 3.4, 3.5,
3.6 |
Rates of change, higher
derivatives and derivatives of trigonometric functions |

Lecture 9 - Section 3.7 |
The chain rule |

Lecture 10 - EXAM 1 |
Exam to be given in the lecture
room during the lecture period |

Lecture 11 - Section 3.8 |
Implicit differentiation |

Lecture 12 - Section 3.9 |
Derivatives of general
exponential and logarithmic functions |

Lecture 13 - Section 3.10 |
Related rates |

Lecture 14 - Sections 4.1,
4.8 |
Linear approximations and
Newton's method |

Lecture 15 - Section 4.2 |
Extreme values |

Lecture 16 - Sections 4.3,
4.4 |
The mean value theorem,
monotonicity and the shape of a graph |

Lecture 17 - Section 4.5 |
L'Hopital's rule |

Lecture 18 - Section
4.6 |
Graph sketching and
asymptotes |

Lecture 19 - Section 4.7 |
Applied optimization |

Lecture 20 - Section 5.1 |
Approximating and computing
area |

Lecture 21 - EXAM 2 |
Exam to be given in the lecture
room during the lecture period |

Lecture 22 - Section 5.2 |
The definite integral |

Lecture 23 - Section 5.3 |
The indefinite integral |

Lecture 24 - Sections 5.4,
5.5 |
The fundamental theorem of
calculus |

Lecture 25 - Sections 5.6,
5.7 |
Net change and substitution |

Lecture 26 - Section 5.8 |
Further integral formulas |

Lecture 27 - Section 6.1 |
Area between two curves |

Lecture 28 - CATCH UP |
Catch up and review |