Schedule and Homework

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:
Aug 28 - Sept 1 Homework |
Differential Equations: Integrals as General and Particular Solutions
Separable Equations and Applications Direction Fields and Solution Curves; Euler's Method |

Week #2:
Sept 4 - Sept 8 Homework |
Numerical Approximation
Existence and Uniqueness Linear First Order Equations Administrative Note: Monday, September 4 is Labor Day. No Classes. |

Week #3:
Sept 11 - 15 Homework |
Differential Equations and Mathematical Models; Population Models
Equilibrium Solutions and Stability |

Week #4:
Sept 18 - 22 Homework |
First Order Systems and Applications
The Method of Elimination Matrices and Linear Systems |

Week #5:
Sept 25 - 29 Homework |
Matrices and Linear Systems
Exam #1 will be given in class on Friday, September 29. Here are the sections covered. Review problems will be forthcoming. |

Week #6:
Oct 2 - 6 Homework |
Matrices and Linear Systems
Eigenvalues and Eigenvectors |

Week #7:
Oct 9 - 13 Homework |
The Eigenvalue Method for Homogeneous Systems
Multiple Eigenvalue Solutions |

Week #8:
Oct 16 - 20 Homework |
Introduction: Second Order Linear Equations
General Solutions of Linear Equations Homogeneous Equations with Constant Coefficients Administrative note: Classes are canceled on Friday, October 20 and Monday, October 23 for the Mid-Semester Break. |

Week #9:
Oct 23 - 27 Homework |
Mechanical Vibrations
Exam #2 will be given in class on Friday, October 27. Here are some review problems. |

Week #10:
Oct 30 - Nov 3 Homework |
Nonhomogeneous Equations and the Method of Undetermined Coefficients
Forced Oscillations and Resonance Stability and the Phase Plane Administrative note: The deadline for dropping a course is Tuesday, October 31. |

Week #11:
Nov 6 - 10 Homework |
Stability and the Phase Plane
Linear and Almost Linear Systems Laplace Transforms and Inverse Transforms |

Week #12:
Nov 13 - 17 Homework |
Transformation of Initial Value Problems
Translation and Partial Fractions Derivatives, Integrals, and Products of Transforms |

Week #13:
Nov. 20 - 24 Homework |
Periodic and Piecewise Linear Input Functions
Administrative note: Thanksgiving is Thursday, November 23. Classes will not meet on Wednesday, November 22 or Friday, November 24. |

Week #14:
Nov 27 - Dec 1 Homework |
Impulses and Delta Functions
Periodic Functions And Trigonometric Series General Fourier Series and Convergence Exam #3 will be given in class on Friday, December 1. Here are some review problems. |

Week #15:
Dec 4 - 8 Homework |
Fourier Sine and Cosine Series
Applications of Fourier Series Heat Conduction and Separation of Variables |

Week #16:
Dec 11 - 15 |
Vibrating Strings and the One-Dimensional Wave Equation
Steady-State Temperature and Laplace's Equation Administrative note: Tuesday, December 12 is the last day of class. The Final Exam will be given on Thursday, December 21, from 8:30am to 11:30am in DH 2315. Here are some review problems. |

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