General Information | Syllabus | Homework Assignments | Exam Related |

Lectures | Sections in Text | Brief Description |
---|---|---|

1/5 | 1.1, 1.2, 1.3 | Introduction, classification of differential equations, direction fields |

1/8 | 2.2, 2.6 | Separable and exact DEs |

1/10 | 2.1, 2.4 | Linear and nonlinear equations |

1/12 | 2.3 | Modeling with 1st order DEs |

1/17 | 3.1, 3.4, (3.5) | Homogeneous DEs with constant coefficients, complex and repeated roots |

1/19 | 3.2, 3.3 | Fundamental solutions, linear independence, Wronskian |

1/22 | 3.5 | Reduction of order |

1/24 | 3.6, 3.7 | Nonhomogeneous equations, undetermined coefficients, variation of parameters |

1/26 | 3.8, 3.9 | Mechanical vibrations, forced vibrations |

1/29 | 7.1 | Systems of DEs |

1/31 | 7.2, 7.3, 7.4 | Matrices, eigenvalues, eigenvectors |

2/3 | 7.5, 7.6 | Systems of DEs, real distinct and complex eigenvalues |

2/5 | 7.6, 7.8 | Systems of DEs, complex and repeated eigenvalues |

2/7 | 2.5, 9.1 | Critical points of autonomous 1st order DEs, phase portraits of linear systems |

2/8 | 9.2 | Autonomous systems and stability |

2/12 | 9.3 | Almost linear systems |

2/14 | 5.1 | Review of series |

2/16 | 5.2 | Series solutions |

2/19 | 5.3 | Series solutions |

2/21 | 10.1, 10.2 | Fourier series |

2/23 | 10.3, 10.4 | Fourier Convergence Theorem, even and odd extensions |

2/26 | 10.5 | Heat equation, separation of variables |

2/28 | 10.6 | Other heat equations: nonhomogeneous and insulated ends |

3/2 | 10.7 | Wave equation |

3/5 | 10.8 | Laplace equation |

3/7 | 10.7, 10.8 | Review |