**Text **: * Introduction to Differential Equations/Order and Chaos * by Florin Diacu (W. H. Freeman Publishing Company, 2000) ISBN 0-0-7167-3296-3.

** Prerequisite:** Math 114, 116, or 121.
** Limitation: ** Not open to students with credit for Math 211.

Section | Topic | Homework |

Chapter 1 | Introduction | p. 11: 1, 2, 8, 14; Extra credit: 18 (see News page) |

2.1 | Equations and solutions | p. 20: 14, 15, 17, 20, 34, 37 |

2.2 | Separable first-order ODEs | p. 30: 2, 3, 7, 15, 25, 27, 30 |

2.3 | First-order linear ODEs | p. 38: 1, 5, 7, 9, 11, 17, 19, 25; |

2.4 | Qualitative methods | p. 49: 2, 3, 5, 7, 10, 17, 21, 28, 32 |

2.5 | Existence/uniqueness of solutions | p. 59: 1, 3, 4, 9, 15 |

2.6 | Numerical Methods | p. 67: 3, 8, 10, 11, 15, 18 |

2.7 | Computer applications | p. 78: 3, 15, 21, 27 |

3.1 | Linear independence and solutions | p. 90: 2, 7, 13, 27, 33, 39, 42 |

3.2 | Homogeneous 2nd-order linear ODEs | p. 100: 1, 3, 5, 7, 9, 15, 19, 29(a, b), 31, 33. |

3.3 | Non-homogeneous equations | p. 109: 1, 3, 7, 17, 21, 23, 25, 29 |

Exam 1 | ||

3.4 | Harmonic oscillators | p. 120: 1, 3, 4, 5, 7, 8, 9, 15, 19 |

3.5 | Qualitative methods | p. 133: 1, 5, 7, 9, 11, 17, 21, 22, 23, 24, 27, 29, 31 |

3.6 | Numerical methods | p. 141: 3, 9, 19 |

4.1 | Linear algebra basics | p. 167: 1, 4, 5, 7ACE, 8, 11, 15, m (see News), 17, 22, 23, 25, 28, Extra credit: 29 |

4.2 | Fundamental solutions | p. 177: 10, 15, 16, 21, 25 |

4.3 | Homogeneous systems with constant coefficients | p. 187: 1, 3, 5, 11; Extra credit: 16, 18 |

6.1 | Introduction to Laplace transforms | p. 276: 8, 21, 25, 29, 33 |