Date | Topic | Reading | Events | |

Week 1 | ||||

Mon | 1/28 | Introduction; 1.1: Differential Equations and Mathematical Models. | 1.1 | |

Wed | 1/30 | 1.2, 1.4: Integrals as Solutions to DEs. Separable Equations. | 1.2, 1.4 | |

Fri | 2/1 | 1.4: Separable Equations, continued. | 1.4 | |

Week 2 | ||||

Mon | 2/4 | 1.3: Slope Fields and Solution Curves. Handout. Mathematica notebook, as PDF. | 1.3 | |

Wed | 2/6 | 1.3, 1.5: Existence and Uniqueness of Solutions. Linear First-Order Equations. | 1.5 | Homework #1 due, 4 pm. |

Fri | 2/8 | 1.5: Linear First-Order Equations, continued. | Add deadline, 4 pm. | |

Week 3 | ||||

Mon | 2/11 | Lecture cancelled on account of blizzard. | ||

Wed | 2/13 | 1.6: Substitution Methods. | 1.6 | Homework #2 due, 4 pm. |

Fri | 2/15 | 1.6: Substitution Methods and Exact Equations, continued. | ||

Week 4 | ||||

Mon | 2/18 | 2.1, 2.2: Population Models. Equilibrium Solutions and Stability. | 2.1, 2.2 | |

Wed | 2/20 | 2.2: Equilibrium Solutions and Stability, continued. | Homework #3 due, 4 pm. | |

Fri | 2/22 | 2.3: Velocity Models. | 2.3 | |

Week 5 | ||||

Mon | 2/25 | 2.3, 2.4: Velocity Models, continued. Numerical Approximations: Euler’s Method. | 2.4 | |

Wed | 2/27 | 2.4: Euler’s Method, continued. Mathematica notebook, as PDF. | 3.1 | Homework #4 due, 4 pm. |

Fri | 3/1 | 3.1: Second-Order Linear Equations. | ||

Week 6 | ||||

Mon | 3/4 | 3.1, 3.2: Second-Order Linear Equations. General Solutions of Linear Equations. | 3.2 | |

Wed | 3/6 | In-class Midterm: Sections 1.1–1.6, 2.1–2.3. | Midterm #1, 10:00–10:53 am. | |

Fri | 3/8 | 3.2: General Solutions of Linear Equations, continued. | Homework #5 due, 4 pm. | |

Week 7 | ||||

Mon | 3/11 | 3.3: Homogeneous Equations with Constant Coefficients. | 3.3 | |

Wed | 3/13 | 3.3, 3.4: Homogeneous Equations with Constant Coefficients, ctd. Vibrations. | 3.4 | |

Fri | 3/15 | 3.4: Mechanical Vibrations, continued. | Homework #6 due, 2 pm. | |

Spring Break! | ||||

Week 8 | ||||

Mon | 3/25 | 3.5: Nonhomogeneous Equations and Undetermined Coefficients. | 3.5 | |

Wed | 3/27 | 3.5: Undetermined Coefficients, continued. Variation of Parameters. | Homework #7 due, 4 pm. | |

Fri | 3/29 | 3.6: Forced Oscillations and Resonance. | 3.6 | |

Week 9 | ||||

Mon | 4/1 | 3.6, 4.1: Forced Oscillations, continued. First-Order Systems. | 4.1 | |

Wed | 4/3 | 4.1, 5.1: First-Order Systems. Matrices and Linear Systems. | 5.1 | Homework #8 due, 4 pm. |

Fri | 4/5 | 5.1: Matrices and Linear Systems. | Drop deadline, 4 pm. | |

Week 10 | ||||

Mon | 4/8 | 5.1, 5.2: Linear Systems, continued. Eigenvalues. | 5.2 | |

Wed | 4/10 | 5.2: The Eigenvalue Method for Homogeneous Systems. | Homework #9 due, 4 pm. | |

Fri | 4/12 | In-class Midterm: Chapter 3. | Midterm #2, 10:00–10:53 am. | |

Week 11 | ||||

Mon | 4/15 | 5.2, 5.4: Eigenvalues, continued. Multiple Eigenvalues. | 5.4 | |

Wed | 4/17 | 5.4: Multiple Eigenvalue Solutions, continued. | Homework #10 due, 4 pm. | |

Fri | 4/19 | 5.5: Matrix Exponentials and Linear Systems. | 5.5 | |

Week 12 | ||||

Mon | 4/22 | 5.5: Matrix Exponentials, continued. | ||

Wed | 4/24 | 5.6: Nonhomogeneous Linear Systems. | 5.6 | Homework #11 due, 4 pm. |

Fri | 4/26 | 5.6, 6.1: Nonhomogeneous Linear Systems, continued. Stability and the Phase Plane. | 6.1 | |

Week 13 | ||||

Mon | 4/29 | 6.1: Stability, continued. Handout. Mathematica notebook, as PDF. | ||

Wed | 5/1 | 6.2: Linear and Almost Linear Systems. Handout. | 6.2 | Homework #12 due, 4 pm. |

Fri | 5/3 | 6.2, 6.3: Almost Linear Systems, continued. Ecological Models: Predators and Competitors. | 6.3 | |

Week 14 | ||||

Mon | 5/6 | 6.3: Predators and Competitors, continued. | ||

Wed | 5/8 | Review for Final. | Homework #13 due, 4 pm. | |

Fri | 5/10 | Review for Final. | ||

Week 15 | ||||

Week 16 | ||||

Tue | 5/21 | Final Exam, 8:00–10:45 am. |

Last modified: 02 May 2013