Week |
Topics |

1. Week |
Real numbers and real line, Cartesian coordinates |

2. Week |
Graphs of quadratic equations, functions |

3. Week |
Combining functions to make new functions, Trigonometric functions |

4. Week |
Limits of functions, limits of infinity and finite limits |

5. Week |
Continuity, formal definition of limit, chapter review |

6. Week |
Tangent lines and their slopes, derivative, differention |

7. Week |
The chain rule, derivatives of trigonometric function |

8. Week |
The mean-value theorem, using derivatives, higher order derivatives |

9. Week |
Implicit differention, antiderivatives, and initial value |

10. Week |
Velocity and acceleration, chapter review |

11. Week |
Inverse functions, exponential and logarithmic functions |

12. Week |
The national logarithm and exponential, the inverse trigonometric functions |

13. Week |
Hyperbolic functions, extreme value, some application of derivatives |

14. Week |
Extreme value problems, Taylor polynomials |