General Information | Syllabus | Assignments | Matlab | Lecture Notes |

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

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

3/28 | 1.1 - 1.3 | Direction fields, introduction to initial-value problems, introduction to computing, HW1 assigned. Matlab: http://math.rice.edu/~dfield/, intro.m |

3/30 | 2.1,2.2 | First order linear ODEs, separation of variables |

4/2 | 2.4-2.6 | Existence and uniqueness, exact equations, HW1 due, HW2 assigned |

4/3 (x-hour) | intro.m | Formal introduction to matlab |

4/4 | 2.7 | Introduction to numerical methods, Euler's method, euler.m |

4/6 | 2.3, 2.5 | Modeling, population models |

4/9 | 3.1 | Second order linear homogrenous ODEs, the characteristic equation, HW2 due, HW3 assigned |

4/10 (x-hour) | handout | Introduction to linear algebra for 2x2 matrices: question and answer |

4/11 | 3.3 | Wronskian, linear independence |

4/13 | 3.4 | Complex roots |

4/16 | 3.5,3.6 | Repeated roots, method of undetermined coefficients, HW3 due, HW4 assigned |

4/18 | 3.7 | Variation of parameters |

4/20 | 3.8 | Mechanical, electrical vibrations,resonance |

4/23 | 3.9 | Driven oscillators, resonance, HW4 due, HW5 assigned |

4/24 (x-hour) | MIDTERM EXAM | In class portion of midterm exam, take home due tomorrow |

4/25 | 5.1,5.2 | Power series, series solutions, radius of convergence |

4/27 | 5.3,5.4 | Series solutions about ordinary points, Euler equations |

4/30 | 7.1,7.2 | Systems of first order equations, existence and uniqueness, HW5 due, HW6 assigned |

5/2 | 7.3 | Further topics in linear algebra |

5/4 | 7.3 | Eigenvalues and Eigenvectors |

5/7 | 7.4,7.5 | Homogeneous systems, HW6 due, HW7 assigned |

5/9 | 7.6 | Unusual eigenvalues |

5/11 | 7.8,9.1 | Phase portraits |

5/14 | 9.2,9.3 | Almost linear systems (e.g. pendulum), HW7 due, HW8 assigned |

5/16 | 10.1 | Boundary value problems |

5/18 | 10.2,10.3 | Fourier series, convergence |

5/21 | 10.4 | Even and odd functions, representations, HW8 due, HW9 assigned |

5/23 | 10.5 | Separation of variables, the heat equation |

5/25 | 10.6 | Wave equation |

5/28 | NO CLASS | Memorial Day |

5/29 (x-hour) | 10.8 | Laplace's equation |

5/30 | Course wrap up |

Scott D. Pauls

Last updated June 25, 2009 14:49:14 EDT