Week | Topic | Notes | |

1 | Feb.7-11 | Introduction to Differential Equations | |

2 | Feb.14-18 | First Order O.D.E. Separation of Variables | |

3 | Feb.21-25 | Integrating Factors. Homogeneous Equations | |

4 | Feb.28-Mar.3 | Applications of First Order O.D.E. (**) | |

5 | Mar.6-10 | Linear Dependence. Wronskian (**) | |

6 | Mar.13-15 | Reduction of Order | |

7 | Mar.20-24 | Method of Undetermined Coefficients | Midterm I |

8 | Mar.27-31 | Variation of Parameters | |

9 | Apr.3-7 | Applications of Second Order O.D.E. | |

10 | Apr.10-14 | Inverse Differential Operators* | |

11 | Apr.17-21 | Singularities of Differential Equations* | |

12 | Apr.24-28 | Series Solutions | Midterm II |

13 | May 1-5 | Series Solutions | |

14 | May 8-12 | The Laplace Transform | |

15 | May 15-18 | The Laplace Transform | |

Finals week | Final |

* These topics are likely to be skipped

I will take off a few (2-3) points for arithmetical mistakes. However,