LEC # | TOPICS |
---|---|

1 | The Differential Operator (PDF) |

2 | Complex Analysis (PDF) |

3 | First-Order Partial Differential Equations (PDF) |

4 | Second-Order Partial Differential Equations (PDF) |

5 | Separation of Variables (PDF) |

6 | Singular Points of Ordinary Differential Equations (PDF) |

7 | Regular Singular Points of Ordinary Differential Equations (PDF) |

8 | Irregular Singular Points of Ordinary Differential Equations (PDF) |

9-10 | The WKB Approximation (PDF) |

Exam 1 | |

11 | Turning Point (PDF) |

12 | The Laplace Method (PDF) |

13 | Method of Stationary Phase (PDF) |

14-15 | Asymptotic Expansions of Integrals (PDF) |

16-17 | Boundary Layers and Singular Perturbation (PDF) |

18 | Interior Turning Points (PDF) |

Exam 2 |

## Lecture Notes

## Course Info

##### Learning Resource Types

*assignment_turned_in*Problem Sets with Solutions

*grading*Exams

*notes*Lecture Notes