Chapter 1: |
Summation: Adding up the pieces |

Chapter 2: |
Areas and the definite integral |

Chapter 3: |
The Fundamental Theorem of Calculus |

Chapter 4: |
Applications of the definite integral to rates, velocities and densities |

Chapter 5: |
More applications of definite integrals: Average value of a function, volume, arclength, etc |

Chapter 6: |
Techniques of anti-differentiation |

Chapter 7: |
Mass distributions and center of mass |

Chapter 8: |
Discrete probability and the laws of chance |

Chapter 9: |
Applications of Discrete probability |

Chapter 10: |
Continuous probability distributions |

Chapter 11: |
Differential Equations |

Chapter 12: |
Infinite series, improper integrals, and Taylor series |