| | Topic | In the textbook |

Mon | Jan 8 | Introduction. Definitions and Terminology. | 1.1 |

Wed | Jan 10 | Initial Value Problems. Direction Fields. | 1.2, 2.1 |

Fri | Jan 12 | Separable Equations. Applications. | 1.3, 2.2 |

Mon | Jan 15 | Direction Fields. | 2.1 |

Wed | Jan 17 | Euler's Method. First Order Linear Equations. | 2.6, 2.3 |

Fri | Jan 19 | First Order Linear Equations. | 2.3 |

Mon | Jan 22 | First Order Linear Equations. Partial Derivatives. Chain Rule. | 2.3, 2.4 |

Wed | Jan 24 | Chain Rule. Exact Equations. | 2.4 |

Fri | Jan 26 | Exact Equations. | 2.4 |

Mon | Jan 29 | Solutions by Substitutions. | 2.5 |

Wed | Jan 31 | Solutions by Substitutions. Linear Models. | 2.5, 3.1 |

Fri | Feb 2 | Linear and Nonlinear Models. | 3.1, 3.2 |

Mon | Feb 5 | Nonlinear Models: Population. | 3.2 |

Wed | Feb 7 | Second order DE. Linear Equations: Fundamental set of solutions. | 4.1 |

Fri | Feb 9 | Fundamental set of solutions. Linear independence. Wronskian. | 4.1 |

Mon | Feb 12 | Reduction of Order. Linear Homogeneous DE with Constant Coefficients. | 4.2, 4.3 |

Wed | Feb 14 | Linear Homogeneous DE with Constant Coefficients. | 4.3 |

Fri | Feb 16 | Midterm 1 | |

Mon | Feb 19 | Reading Week | |

Wed | Feb 21 | Reading Week | |

Fri | Feb 23 | Reading Week | |

Mon | Feb 26 | Linear Homogeneous DE with Constant Coefficients. | 4.3 |

Wed | Feb 28 | Cauchy-Euler Equation. | 4.7 |

Fri | Mar 2 | Cauchy-Euler Equation. | 4.7 |

Mon | Mar 5 | Undetermined Coefficients. | 4.4 |

Wed | Mar 7 | Undetermined Coefficients. Variation of Parameters. | 4.6 |

Fri | Mar 9 | Variation of Parameters. Green Functions. | 4.6, 4.8 |

Mon | Mar 12 | Green Functions: Initial Value Problemas and Boundary Value Problems. | 4.8 |

Wed | Mar 14 | Green Functions: Boundary Value Problems. Systems of Linear DE. | 4.8, 4.10 |

Fri | Mar 16 | *No Lecture* | |

Mon | Mar 19 | Systems of Linear DE. | 4.10 |

Wed | Mar 21 | Systems of Linear DE: Applications. | 4.10 |

Fri | Mar 23 | Laplace Transform. | 7.1, 7.2 |

Mon | Mar 26 | Laplace Transform: Solving Linear DE. | 7.1, 7.2, 7.3 |

Wed | Mar 28 | Midterm 2 | |

Fri | Mar 30 | *Good Friday* | |

Mon | Apr 2 | Laplace Transform: Shifting Rules. | 7.3 |

Wed | Apr 4 | Laplace Transform: Derivative of a Transform. Convolution. Systems. | 7.4 |

Fri | Apr 6 | *No Lecture* | |

Mon | Apr 9 | *No Lecture* | |