Date |
Topic |
Homework/Handouts |

R13 Jan | Introduction; 1st order ODEs | Homework #1 Syllabus, Summary of Techniques |

T18 Jan | More 1st order ODEs | |

R20 Jan | Introduction to Modeling | Homework #2 Modeling Terms |

T25 Jan | Modeling with systems; Non-analytic solution of ODEs | Car Response Model |

R27 Jan | More solution methods; MATLAB | Car Response Model Guide |

T 1 Feb | Fundamental Theorems; Phase plane methods | Numerical Methods Guide |

R 3 Feb | Spring Model; Higher Order ODEs | Homework #3 |

T 8 Feb | Solving 2nd Order Linear ODEs | |

R10 Feb | Nonhomogeneous 2nd Order ODEs | |

T15 Feb | Nonhomogeneous 2nd Order ODEs | |

R17 Feb | Nonhomogeneous 2nd Order ODEs | |

T22 Feb | Qualitative Analysis for 2nd Order ODEs & Systems | Homework #4 |

R24 Feb | Nonlinear Pendulum: derivation & analysis | |

T 1 Mar | Beginning PDEs: transition from ODEs to PDEs | |

R 3 Mar | 1st Order Linear PDEs | Homework #5 |

T 8 Mar | Solving 1st order quasi-linear PDES/Initial Curve Problem | |

R10 Mar | Application to Traffic Flow | |

T15 Mar | Traffic Flow; Flow & Diffusion in a Tube | |

R17 Mar | Other FDIT based models | Homework #6 |

R22 Mar | Spring Break | |

R24 Mar | Spring Break | |

T29 Mar | Classifying & solving higher order quasi-linear PDEs | |

R31 Mar | Canonical Forms for 2nd Order Linear PDEs | Project: Short Description Due |

T 5 Apr | Separation of Variables | |

R 7 Apr | Separation of Variables | |

T12 Apr | Project: Short Presentations I Examples from Separation of Variables |
Homework #7 |

R14 Apr | Project: Short Presentations II | |

T19 Apr | Project: Report Draft Due | |

R21 Apr | ||

T26 Apr | ||

T 3 May | Project: Final Presentations I, 10:15-12:15 Project: Final Written Report Due by Noon |

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