21-260 Differential Equations |

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For each week there will be a link to a page with a reading assignment and a homework assignment. This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked.

Week #1:
Jan 16 - 20 Assignments |
M: Martin Luther King Day. No class.
W: Introduction to Differential Equations. F: Class will not meet on Friday, January 20. |

Week #2:
Jan 23 - 27 Assignments |
M: Seperable Equations.
W: Some Basic Mathematical Models. F: Linear First Order Differential Equations. |

Week #3:
Jan 30 - Feb 3 Assignments |
M: Direction Fields.
W: Existence and Uniqueness Theorems. F: Autonomous Differential Equations. |

Week #4:
Feb 6 - 10 Assignments |
M: The Phase Line.
W: Definition of the Laplace Transform F: Inverse Transforms and Transforms of Derivatives |

Week #5:
Feb 13 - 17 Exam Review |
M: Solving Second Order Linear Equations.
W: Properties of the Laplace Transform - Translations. F: Exam #1 is scheduled for Friday during class time. |

Week #6:
Feb 20 - 24 Assignments |
M: Undamped Harmonic Oscillators.
W: Damped Harmonic Oscillators. F: Solving Non-Homogeneous Linear Equations. |

Week #7:
Feb 27 - Mar 3 Assignments |
M: Harmonic Oscillators with External Forcing.
W: Transforms of Step Functions F: Discontinuous Forcing Functions |

Week #8:
Mar 6 - 10 Assignments |
M: Impulse Functions
W: The Convolution Integral F: Mid-Semester Break. No Class. |

Spring Break:
Mar 13 - 17 |
Spring Break! |

Week #9:
Mar 20 - 24 Assignments Exam Review |
M: Convolution Integrals and Laplace Transforms
W: Exam #2 is tentatively scheduled for Wednesday, March 22 at 7:30am. W: (Makeup Lecture) Systems of Differential Equations F: Laplace Transforms and Parametric Curves |

Week #10:
Mar 27 - 31 Assignments |
M: Graphing solutions to systmes of equations. Nullclines.
W: Analytic and Qualitative Techniques F: Analytic and Qualitative Techniques |

Week #11:
Apr 3 - 7 Assignments |
M: Theory of Second Order Linear Equations
W: Fundamental Sets of Solutions F: Theory of First order Linear Systems |

Week #12:
Apr 10 - 14 |
M: Phase Portraits and Classification of Equlibrium Points
W: Classification of Equilibrium Points for Linear and Nonlinear Equations F: Fourier Series. |

Week #13:
Apr 17 - 21 Exam Review |
M: Exam #3 is scheduled for Monday, April 17, at 7:30am.
W: The Fourier Convergence Theorem. F: Spring Carnival. No class. |

Week #14:
Apr 24 - 28 Homework |
M:
W: Fourier Sine and Cosine Series. F: The Wave Equation, Separation of Variables. |

Week #15:
May 1 - 5 Homework |
M: Separation of Variables, Boundary Value Problems.
W: Solutions to the Wave Equation. F: More About theWave Equation and other Fun Topics. |

Final Exam
Exam Review |
The Final Exam has been scheduled for Tuesday, May 9, from 1:00-4:00pm. in DH 2210. Please take this into account when making your travel plans. |